SAMPLE FINAL EXAM PHYSICS 121 e = 1.6x10 -19 C m e = 9.11x10 -31 kg m p = 1.67x10 -27 kg k = 8.99x10 9 Nm 2 /C 2 0 = 8.85x10 -12 C 2 / Nm 2 μ 0 = 1.26x10 -6 T∙m/A k = A cir = πR 2 A sphere = 4πR 2 A cyl = 2πRL V sphere = πR 3 =A x B x + A y B y + A z B y B A = (A x B y – A y B x ) point charge: F = k E = k dipole: E = p = qd, τ= pxE flux: Φ = E·Acosθ F = qE F = ma v = v 0 + at potential: ΔU = q ΔV ΔU + ΔK = 0 V= V 0 - E∙x Capacitance: in series : C eqv in parallel: C 1 +C 2 +…+C n current: Q = ne J = (ne)v d V = i·R E = ρJ ρ – ρ 0 =ρ 0 α(T – T 0 ) P = I∙V P = I 2 R P = in
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SAMPLE FINAL EXAM PHYSICS 121
e = 16x10-19 C me = 911x10-31kg mp = 167x10-27 kg k = 899x109 Nm2C2 0 = 885x10-12 C2 Nm2
μ0 = 126x10-6 T∙mA k = Acir = πR2 Asphere = 4πR2 Acyl = 2πRL Vsphere = πR3
=AxBx + AyBy + AzBy BA
= (AxBy ndash AyBx) point charge F = k E = k dipole
E = p = qd τ= pxE flux Φ = EAcosθ
F = qE F = ma v = v0 + at
potential ΔU = q ΔV ΔU + ΔK = 0 V= V0 - E∙x
Capacitance
in series Ceqv in parallel C1+C2+hellip+Cn current
Q = ne J = (ne)vd V = imiddotR E = ρJ ρ ndash ρ0 =ρ0α(T ndash T0) P = I∙V P = I2R
P = in series Req = R1+R2+hellip+Rn in parallel Reqv = ( )-1 RC circuit charging
Q = Qf ( ) V=Vc( ) discharging magnetic field
FB = qvBsinθ FB = qE = qvB R = FB =iLBsinθ
micro = NiA Bwire = Barc = Bloop = Bsol = microomiddoti∙n Btor =
Flux Φ = BAcosθ induction
Εmax = NBAω RL circuit i = if ( )
UB =frac12Li2 Oscillations = 2f = Utot = Utot = Q = Qm cos(t)
i = - im sin(t) AC circuit emf = Εmsinωt i= sin(ωt ndashΦ) Z= XL = L XC =
Vrms= Irms= Pavg=VrmsIrms cosΦ Pavg = Irms2R Resonance L=
transformers 1 pC = 10-12C 1 mH = 10-3 H
1 In the figure if Q = 30 microC q = 50 microC and d = 30 cm what is the magnitude of the electrostatic force on q
a 15 Nb 23 Nc zerod 75 Ne 38 N
2 A particle (mass = 40 g charge = 80 mC) moves in a region of space where the electric field is uniform and is given by Ex = ndash25 NC Ey = Ez = 0 If the velocity of the particle at t = 0 is given by vx = 80 ms vy = vz = 0 what is the speed of the particle at t = 20 s
a 40 msb 20 msc 60 msd 80 mse 180 ms
3 Two point charges are arranged as shown In which region could a third charge +1 C be placed so that the net electrostatic force on it is zero
a I onlyb I and II onlyc III onlyd I and III onlye II only
4 The total electric flux through a closed cylindrical (length = 12 m diameter = 020 m) surface is
equal to ndash50 N m2C Determine the net charge within the cylinder
a ndash62 pCb ndash53 pCc ndash44 pCd ndash71 pCe ndash16 pC
2
5 Two infinite parallel surfaces carry uniform charge densities of 020 nCm2 and -06nCm2 What is
the magnitude of the electric field at a point between the two surfaces
a 34 NCb 23 NCc 45 NCd 17 NCe 90 NC
6 A charge of 80 pC is distributed uniformly on a spherical surface (radius = 20 cm) and a second charge of ndash30 pC is distributed uniformly on a concentric spherical surface (radius = 40 cm) Determine the magnitude of the electric field 50 cm from the center of the two surfaces
a 14 NCb 11 NCc 22 NCd 18 NCe 40 NC
7 An uncharged spherical conducting shell surrounds a charge ndashq at the center of the shell The charges on the inner and outer surfaces of the shell are respectively
a b c Cd e
8 An electron (m = 91 10ndash31
kg q = ndash16 10ndash19
C) starts from rest at point A and has a speed
of 50 106
ms at point B Only electric forces act on it during this motion Determine the electric potential difference
a ndash71 Vb +71 Vc ndash26 Vd +26 Ve ndash140 V
9 The electric potential inside a charged solid spherical conductor in equilibriuma is always zerob is constant and equal to its value at the surfacec decreases from its value at the surface to a value of zero at the centerd increases from its value at the surface to a value at the center that is a multiple of the
potential at the surfacee is equal to the charge passing through the surface per unit time divided by the resistance
3
10 Determine the charge stored by C1 when C1 = 20 microF C2 = 10 microFC3 = 30 microF and V0 = 18 V
a 037 mCb 024 mCc 012 mCd 040 mCe 050 mC
11 A parallel plate capacitor of capacitance C0 has plates of area A with separation d between them When it is connected to a battery of voltage V0 it has charge of magnitude Q0 on its plates It is then disconnected from the battery and the space between the plates is filled with a material of dielectric constant 3 After the dielectric is added the magnitudes of the charge on the plates and the potential difference between them are
a
b (B)
c d e
12 If a mile of 24-gauge copper wire has a resistance of 014 k Ω and the resistivity of copper is 17
10ndash8
Ω m what is the diameter of the wire (1 mile = 16 km)a 040 mmb 050 mmc 063 mmd 080 mme 025 mm
13 Determine Ε when I = 050 A and R = 12 Ω
a 12 Vb 24 Vc 30 Vd 15 Ve 60 V
4
14 The circuit below contains three 100 W light bulbs The emf ε = 110 V Which light bulb(s) is(are) brightest
a Ab Bc Cd B and Ce All three are equally bright
15 When does a constant uniform magnetic field increase the kinetic energy of a charged particle
a alwaysb if the particle is moving in a circlec if the particle is moving across field linesd if the particle is moving along field linese never
16 What is the radius of curvature of the path of a 30-keV proton in a perpendicular magnetic field of magnitude 080 T
a 99 mmb 19 cmc 24 cmd 15 cme 46 mm
5
17 A current loop is oriented in three different positions relative to a uniform magnetic field In position 1 the plane of the loop is perpendicular to the field lines In position 2 and 3 the plane of the loop is parallel to the field as shown The torque on the loop is maximum in
a position 1b position 2c position 3d positions 2 and 3e all three positions
18 If a = 10 cm b = 30 cm and I = 30 A what is the magnitude of the magnetic field at point P
a 062 mTb 059 mTc 035 mTd 031 mTe 010 mT
19 Equal currents of magnitude I travel into the page in wire M and out of the page in wire N Eight directions are indicated by letters A through H
The direction of the magnetic field at point P isa Cb Ec Fd Ge H
6
20 An ideal solenoid of radius a has n turns per unit unit length and current I The magnetic flux through any circular area of radius a inside the solenoid centered on and perpendicular to the solenoid axis is
a
b
c Cd e 0
21 At what frequency should a 200-turn flat coil of cross sectional area of 300 cm2 be rotated in a
uniform 30-mT magnetic field to have a maximum value of the induced emf equal to 80 V
a 75 Hzb 71 Hzc 80 Hzd 84 Hze 16 Hz
22 As shown below a square loop of wire of side a moves through a uniform magnetic field of magnitude B perpendicular to the page at constant velocity directed to the right Judd says that the emf induced in the loop is zero Roger claims that it has magnitude Which one if either is correct and why
a Judd because the magnetic flux through the loop is constantb Roger because the magnetic flux through the loop is constantc Judd because the magnetic flux through the loop is not constant if d Roger because the magnetic flux through the loop is not constant if e Roger because the magnetic flux through the loop is
7
23 The coil shown in the figure has 2 turns a cross-sectional area of 020 m2 and a field (parallel to
the axis of the coil) with a magnitude given by B = (40 + 30t) T where t is in s What is the potential difference VA ndash VC at t = 30 s
a 12 Vb 24 Vc 48 Vd 64 Ve 12 V
24 The circuit shown is in an uniform magnetic field that is into the page and decreasing at the rate 174 Ts What is the net current in the circuit
a 035 A b 060 A c 085 A d 125 A e 140
25 There is no current in the circuit shown in the figure below until the switch is closed The current through the 20 Ω resistor the instant after the switch is closed is either [1] 15 A or [2] 50 A and the current through the 20 Ω resistor after the switch has been closed a long time is either [3] 50 A or [4] 15 A Which combination of the above choices is correct
a [1] and [3]b [1] and [4]c [2] and [3]d [2] and [4]e None of these
8
26 A series LC circuit contains a 100 mH inductor a 360 mF capacitor and a 12 V battery The frequency of the electromagnetic oscillations in the circuit is
a 573 10ndash4
Hzb 955 mHzc 0442 Hzd 266 Hze 440 Hz
27 The figure shows an LR circuit with a switch and a 240-volt battery At the instant the switch is closed the current in the circuit and the potential difference between points a and b Vab are
a 0 A 0 Vb 0 A ndash240 Vc 0 A +240 Vd 0024 A 0 Ve 0024 A +240 V
28 An electric heater draws an average power of 1100 Watts when plugged into a 110 V-rms outlet Calculate the resistance of the heater and the rms currenta 11 Ω 10 A (rms)b 110 Ω 10 A (rms)c 10 Ω 11 A (rms)d 10 Ω 110 A (rms)e 009 Ω 11 A (rms)
29 The inductance of a tuning circuit of an AM radio is 4 mH Find the capacitance of the circuit required for reception at 1200 kHza 21 pFb 44 pFc 212 pFd 434 pFe 276 pF
9
30 Determine the rms current for the circuit
a 55 mAb 77 mAc 99 mAd 0190 Ae 61 mA
31 A series RLC circuit has an impedance of 120 Ω and a resistance of 64 Ω What average power is delivered to this circuit when Vrms = 90 volts
a 36 Wb 100 Wc 192 Wd 360 We 12 W
10
transformers 1 pC = 10-12C 1 mH = 10-3 H
1 In the figure if Q = 30 microC q = 50 microC and d = 30 cm what is the magnitude of the electrostatic force on q
a 15 Nb 23 Nc zerod 75 Ne 38 N
2 A particle (mass = 40 g charge = 80 mC) moves in a region of space where the electric field is uniform and is given by Ex = ndash25 NC Ey = Ez = 0 If the velocity of the particle at t = 0 is given by vx = 80 ms vy = vz = 0 what is the speed of the particle at t = 20 s
a 40 msb 20 msc 60 msd 80 mse 180 ms
3 Two point charges are arranged as shown In which region could a third charge +1 C be placed so that the net electrostatic force on it is zero
a I onlyb I and II onlyc III onlyd I and III onlye II only
4 The total electric flux through a closed cylindrical (length = 12 m diameter = 020 m) surface is
equal to ndash50 N m2C Determine the net charge within the cylinder
a ndash62 pCb ndash53 pCc ndash44 pCd ndash71 pCe ndash16 pC
2
5 Two infinite parallel surfaces carry uniform charge densities of 020 nCm2 and -06nCm2 What is
the magnitude of the electric field at a point between the two surfaces
a 34 NCb 23 NCc 45 NCd 17 NCe 90 NC
6 A charge of 80 pC is distributed uniformly on a spherical surface (radius = 20 cm) and a second charge of ndash30 pC is distributed uniformly on a concentric spherical surface (radius = 40 cm) Determine the magnitude of the electric field 50 cm from the center of the two surfaces
a 14 NCb 11 NCc 22 NCd 18 NCe 40 NC
7 An uncharged spherical conducting shell surrounds a charge ndashq at the center of the shell The charges on the inner and outer surfaces of the shell are respectively
a b c Cd e
8 An electron (m = 91 10ndash31
kg q = ndash16 10ndash19
C) starts from rest at point A and has a speed
of 50 106
ms at point B Only electric forces act on it during this motion Determine the electric potential difference
a ndash71 Vb +71 Vc ndash26 Vd +26 Ve ndash140 V
9 The electric potential inside a charged solid spherical conductor in equilibriuma is always zerob is constant and equal to its value at the surfacec decreases from its value at the surface to a value of zero at the centerd increases from its value at the surface to a value at the center that is a multiple of the
potential at the surfacee is equal to the charge passing through the surface per unit time divided by the resistance
3
10 Determine the charge stored by C1 when C1 = 20 microF C2 = 10 microFC3 = 30 microF and V0 = 18 V
a 037 mCb 024 mCc 012 mCd 040 mCe 050 mC
11 A parallel plate capacitor of capacitance C0 has plates of area A with separation d between them When it is connected to a battery of voltage V0 it has charge of magnitude Q0 on its plates It is then disconnected from the battery and the space between the plates is filled with a material of dielectric constant 3 After the dielectric is added the magnitudes of the charge on the plates and the potential difference between them are
a
b (B)
c d e
12 If a mile of 24-gauge copper wire has a resistance of 014 k Ω and the resistivity of copper is 17
10ndash8
Ω m what is the diameter of the wire (1 mile = 16 km)a 040 mmb 050 mmc 063 mmd 080 mme 025 mm
13 Determine Ε when I = 050 A and R = 12 Ω
a 12 Vb 24 Vc 30 Vd 15 Ve 60 V
4
14 The circuit below contains three 100 W light bulbs The emf ε = 110 V Which light bulb(s) is(are) brightest
a Ab Bc Cd B and Ce All three are equally bright
15 When does a constant uniform magnetic field increase the kinetic energy of a charged particle
a alwaysb if the particle is moving in a circlec if the particle is moving across field linesd if the particle is moving along field linese never
16 What is the radius of curvature of the path of a 30-keV proton in a perpendicular magnetic field of magnitude 080 T
a 99 mmb 19 cmc 24 cmd 15 cme 46 mm
5
17 A current loop is oriented in three different positions relative to a uniform magnetic field In position 1 the plane of the loop is perpendicular to the field lines In position 2 and 3 the plane of the loop is parallel to the field as shown The torque on the loop is maximum in
a position 1b position 2c position 3d positions 2 and 3e all three positions
18 If a = 10 cm b = 30 cm and I = 30 A what is the magnitude of the magnetic field at point P
a 062 mTb 059 mTc 035 mTd 031 mTe 010 mT
19 Equal currents of magnitude I travel into the page in wire M and out of the page in wire N Eight directions are indicated by letters A through H
The direction of the magnetic field at point P isa Cb Ec Fd Ge H
6
20 An ideal solenoid of radius a has n turns per unit unit length and current I The magnetic flux through any circular area of radius a inside the solenoid centered on and perpendicular to the solenoid axis is
a
b
c Cd e 0
21 At what frequency should a 200-turn flat coil of cross sectional area of 300 cm2 be rotated in a
uniform 30-mT magnetic field to have a maximum value of the induced emf equal to 80 V
a 75 Hzb 71 Hzc 80 Hzd 84 Hze 16 Hz
22 As shown below a square loop of wire of side a moves through a uniform magnetic field of magnitude B perpendicular to the page at constant velocity directed to the right Judd says that the emf induced in the loop is zero Roger claims that it has magnitude Which one if either is correct and why
a Judd because the magnetic flux through the loop is constantb Roger because the magnetic flux through the loop is constantc Judd because the magnetic flux through the loop is not constant if d Roger because the magnetic flux through the loop is not constant if e Roger because the magnetic flux through the loop is
7
23 The coil shown in the figure has 2 turns a cross-sectional area of 020 m2 and a field (parallel to
the axis of the coil) with a magnitude given by B = (40 + 30t) T where t is in s What is the potential difference VA ndash VC at t = 30 s
a 12 Vb 24 Vc 48 Vd 64 Ve 12 V
24 The circuit shown is in an uniform magnetic field that is into the page and decreasing at the rate 174 Ts What is the net current in the circuit
a 035 A b 060 A c 085 A d 125 A e 140
25 There is no current in the circuit shown in the figure below until the switch is closed The current through the 20 Ω resistor the instant after the switch is closed is either [1] 15 A or [2] 50 A and the current through the 20 Ω resistor after the switch has been closed a long time is either [3] 50 A or [4] 15 A Which combination of the above choices is correct
a [1] and [3]b [1] and [4]c [2] and [3]d [2] and [4]e None of these
8
26 A series LC circuit contains a 100 mH inductor a 360 mF capacitor and a 12 V battery The frequency of the electromagnetic oscillations in the circuit is
a 573 10ndash4
Hzb 955 mHzc 0442 Hzd 266 Hze 440 Hz
27 The figure shows an LR circuit with a switch and a 240-volt battery At the instant the switch is closed the current in the circuit and the potential difference between points a and b Vab are
a 0 A 0 Vb 0 A ndash240 Vc 0 A +240 Vd 0024 A 0 Ve 0024 A +240 V
28 An electric heater draws an average power of 1100 Watts when plugged into a 110 V-rms outlet Calculate the resistance of the heater and the rms currenta 11 Ω 10 A (rms)b 110 Ω 10 A (rms)c 10 Ω 11 A (rms)d 10 Ω 110 A (rms)e 009 Ω 11 A (rms)
29 The inductance of a tuning circuit of an AM radio is 4 mH Find the capacitance of the circuit required for reception at 1200 kHza 21 pFb 44 pFc 212 pFd 434 pFe 276 pF
9
30 Determine the rms current for the circuit
a 55 mAb 77 mAc 99 mAd 0190 Ae 61 mA
31 A series RLC circuit has an impedance of 120 Ω and a resistance of 64 Ω What average power is delivered to this circuit when Vrms = 90 volts
a 36 Wb 100 Wc 192 Wd 360 We 12 W
10
5 Two infinite parallel surfaces carry uniform charge densities of 020 nCm2 and -06nCm2 What is
the magnitude of the electric field at a point between the two surfaces
a 34 NCb 23 NCc 45 NCd 17 NCe 90 NC
6 A charge of 80 pC is distributed uniformly on a spherical surface (radius = 20 cm) and a second charge of ndash30 pC is distributed uniformly on a concentric spherical surface (radius = 40 cm) Determine the magnitude of the electric field 50 cm from the center of the two surfaces
a 14 NCb 11 NCc 22 NCd 18 NCe 40 NC
7 An uncharged spherical conducting shell surrounds a charge ndashq at the center of the shell The charges on the inner and outer surfaces of the shell are respectively
a b c Cd e
8 An electron (m = 91 10ndash31
kg q = ndash16 10ndash19
C) starts from rest at point A and has a speed
of 50 106
ms at point B Only electric forces act on it during this motion Determine the electric potential difference
a ndash71 Vb +71 Vc ndash26 Vd +26 Ve ndash140 V
9 The electric potential inside a charged solid spherical conductor in equilibriuma is always zerob is constant and equal to its value at the surfacec decreases from its value at the surface to a value of zero at the centerd increases from its value at the surface to a value at the center that is a multiple of the
potential at the surfacee is equal to the charge passing through the surface per unit time divided by the resistance
3
10 Determine the charge stored by C1 when C1 = 20 microF C2 = 10 microFC3 = 30 microF and V0 = 18 V
a 037 mCb 024 mCc 012 mCd 040 mCe 050 mC
11 A parallel plate capacitor of capacitance C0 has plates of area A with separation d between them When it is connected to a battery of voltage V0 it has charge of magnitude Q0 on its plates It is then disconnected from the battery and the space between the plates is filled with a material of dielectric constant 3 After the dielectric is added the magnitudes of the charge on the plates and the potential difference between them are
a
b (B)
c d e
12 If a mile of 24-gauge copper wire has a resistance of 014 k Ω and the resistivity of copper is 17
10ndash8
Ω m what is the diameter of the wire (1 mile = 16 km)a 040 mmb 050 mmc 063 mmd 080 mme 025 mm
13 Determine Ε when I = 050 A and R = 12 Ω
a 12 Vb 24 Vc 30 Vd 15 Ve 60 V
4
14 The circuit below contains three 100 W light bulbs The emf ε = 110 V Which light bulb(s) is(are) brightest
a Ab Bc Cd B and Ce All three are equally bright
15 When does a constant uniform magnetic field increase the kinetic energy of a charged particle
a alwaysb if the particle is moving in a circlec if the particle is moving across field linesd if the particle is moving along field linese never
16 What is the radius of curvature of the path of a 30-keV proton in a perpendicular magnetic field of magnitude 080 T
a 99 mmb 19 cmc 24 cmd 15 cme 46 mm
5
17 A current loop is oriented in three different positions relative to a uniform magnetic field In position 1 the plane of the loop is perpendicular to the field lines In position 2 and 3 the plane of the loop is parallel to the field as shown The torque on the loop is maximum in
a position 1b position 2c position 3d positions 2 and 3e all three positions
18 If a = 10 cm b = 30 cm and I = 30 A what is the magnitude of the magnetic field at point P
a 062 mTb 059 mTc 035 mTd 031 mTe 010 mT
19 Equal currents of magnitude I travel into the page in wire M and out of the page in wire N Eight directions are indicated by letters A through H
The direction of the magnetic field at point P isa Cb Ec Fd Ge H
6
20 An ideal solenoid of radius a has n turns per unit unit length and current I The magnetic flux through any circular area of radius a inside the solenoid centered on and perpendicular to the solenoid axis is
a
b
c Cd e 0
21 At what frequency should a 200-turn flat coil of cross sectional area of 300 cm2 be rotated in a
uniform 30-mT magnetic field to have a maximum value of the induced emf equal to 80 V
a 75 Hzb 71 Hzc 80 Hzd 84 Hze 16 Hz
22 As shown below a square loop of wire of side a moves through a uniform magnetic field of magnitude B perpendicular to the page at constant velocity directed to the right Judd says that the emf induced in the loop is zero Roger claims that it has magnitude Which one if either is correct and why
a Judd because the magnetic flux through the loop is constantb Roger because the magnetic flux through the loop is constantc Judd because the magnetic flux through the loop is not constant if d Roger because the magnetic flux through the loop is not constant if e Roger because the magnetic flux through the loop is
7
23 The coil shown in the figure has 2 turns a cross-sectional area of 020 m2 and a field (parallel to
the axis of the coil) with a magnitude given by B = (40 + 30t) T where t is in s What is the potential difference VA ndash VC at t = 30 s
a 12 Vb 24 Vc 48 Vd 64 Ve 12 V
24 The circuit shown is in an uniform magnetic field that is into the page and decreasing at the rate 174 Ts What is the net current in the circuit
a 035 A b 060 A c 085 A d 125 A e 140
25 There is no current in the circuit shown in the figure below until the switch is closed The current through the 20 Ω resistor the instant after the switch is closed is either [1] 15 A or [2] 50 A and the current through the 20 Ω resistor after the switch has been closed a long time is either [3] 50 A or [4] 15 A Which combination of the above choices is correct
a [1] and [3]b [1] and [4]c [2] and [3]d [2] and [4]e None of these
8
26 A series LC circuit contains a 100 mH inductor a 360 mF capacitor and a 12 V battery The frequency of the electromagnetic oscillations in the circuit is
a 573 10ndash4
Hzb 955 mHzc 0442 Hzd 266 Hze 440 Hz
27 The figure shows an LR circuit with a switch and a 240-volt battery At the instant the switch is closed the current in the circuit and the potential difference between points a and b Vab are
a 0 A 0 Vb 0 A ndash240 Vc 0 A +240 Vd 0024 A 0 Ve 0024 A +240 V
28 An electric heater draws an average power of 1100 Watts when plugged into a 110 V-rms outlet Calculate the resistance of the heater and the rms currenta 11 Ω 10 A (rms)b 110 Ω 10 A (rms)c 10 Ω 11 A (rms)d 10 Ω 110 A (rms)e 009 Ω 11 A (rms)
29 The inductance of a tuning circuit of an AM radio is 4 mH Find the capacitance of the circuit required for reception at 1200 kHza 21 pFb 44 pFc 212 pFd 434 pFe 276 pF
9
30 Determine the rms current for the circuit
a 55 mAb 77 mAc 99 mAd 0190 Ae 61 mA
31 A series RLC circuit has an impedance of 120 Ω and a resistance of 64 Ω What average power is delivered to this circuit when Vrms = 90 volts
a 36 Wb 100 Wc 192 Wd 360 We 12 W
10
10 Determine the charge stored by C1 when C1 = 20 microF C2 = 10 microFC3 = 30 microF and V0 = 18 V
a 037 mCb 024 mCc 012 mCd 040 mCe 050 mC
11 A parallel plate capacitor of capacitance C0 has plates of area A with separation d between them When it is connected to a battery of voltage V0 it has charge of magnitude Q0 on its plates It is then disconnected from the battery and the space between the plates is filled with a material of dielectric constant 3 After the dielectric is added the magnitudes of the charge on the plates and the potential difference between them are
a
b (B)
c d e
12 If a mile of 24-gauge copper wire has a resistance of 014 k Ω and the resistivity of copper is 17
10ndash8
Ω m what is the diameter of the wire (1 mile = 16 km)a 040 mmb 050 mmc 063 mmd 080 mme 025 mm
13 Determine Ε when I = 050 A and R = 12 Ω
a 12 Vb 24 Vc 30 Vd 15 Ve 60 V
4
14 The circuit below contains three 100 W light bulbs The emf ε = 110 V Which light bulb(s) is(are) brightest
a Ab Bc Cd B and Ce All three are equally bright
15 When does a constant uniform magnetic field increase the kinetic energy of a charged particle
a alwaysb if the particle is moving in a circlec if the particle is moving across field linesd if the particle is moving along field linese never
16 What is the radius of curvature of the path of a 30-keV proton in a perpendicular magnetic field of magnitude 080 T
a 99 mmb 19 cmc 24 cmd 15 cme 46 mm
5
17 A current loop is oriented in three different positions relative to a uniform magnetic field In position 1 the plane of the loop is perpendicular to the field lines In position 2 and 3 the plane of the loop is parallel to the field as shown The torque on the loop is maximum in
a position 1b position 2c position 3d positions 2 and 3e all three positions
18 If a = 10 cm b = 30 cm and I = 30 A what is the magnitude of the magnetic field at point P
a 062 mTb 059 mTc 035 mTd 031 mTe 010 mT
19 Equal currents of magnitude I travel into the page in wire M and out of the page in wire N Eight directions are indicated by letters A through H
The direction of the magnetic field at point P isa Cb Ec Fd Ge H
6
20 An ideal solenoid of radius a has n turns per unit unit length and current I The magnetic flux through any circular area of radius a inside the solenoid centered on and perpendicular to the solenoid axis is
a
b
c Cd e 0
21 At what frequency should a 200-turn flat coil of cross sectional area of 300 cm2 be rotated in a
uniform 30-mT magnetic field to have a maximum value of the induced emf equal to 80 V
a 75 Hzb 71 Hzc 80 Hzd 84 Hze 16 Hz
22 As shown below a square loop of wire of side a moves through a uniform magnetic field of magnitude B perpendicular to the page at constant velocity directed to the right Judd says that the emf induced in the loop is zero Roger claims that it has magnitude Which one if either is correct and why
a Judd because the magnetic flux through the loop is constantb Roger because the magnetic flux through the loop is constantc Judd because the magnetic flux through the loop is not constant if d Roger because the magnetic flux through the loop is not constant if e Roger because the magnetic flux through the loop is
7
23 The coil shown in the figure has 2 turns a cross-sectional area of 020 m2 and a field (parallel to
the axis of the coil) with a magnitude given by B = (40 + 30t) T where t is in s What is the potential difference VA ndash VC at t = 30 s
a 12 Vb 24 Vc 48 Vd 64 Ve 12 V
24 The circuit shown is in an uniform magnetic field that is into the page and decreasing at the rate 174 Ts What is the net current in the circuit
a 035 A b 060 A c 085 A d 125 A e 140
25 There is no current in the circuit shown in the figure below until the switch is closed The current through the 20 Ω resistor the instant after the switch is closed is either [1] 15 A or [2] 50 A and the current through the 20 Ω resistor after the switch has been closed a long time is either [3] 50 A or [4] 15 A Which combination of the above choices is correct
a [1] and [3]b [1] and [4]c [2] and [3]d [2] and [4]e None of these
8
26 A series LC circuit contains a 100 mH inductor a 360 mF capacitor and a 12 V battery The frequency of the electromagnetic oscillations in the circuit is
a 573 10ndash4
Hzb 955 mHzc 0442 Hzd 266 Hze 440 Hz
27 The figure shows an LR circuit with a switch and a 240-volt battery At the instant the switch is closed the current in the circuit and the potential difference between points a and b Vab are
a 0 A 0 Vb 0 A ndash240 Vc 0 A +240 Vd 0024 A 0 Ve 0024 A +240 V
28 An electric heater draws an average power of 1100 Watts when plugged into a 110 V-rms outlet Calculate the resistance of the heater and the rms currenta 11 Ω 10 A (rms)b 110 Ω 10 A (rms)c 10 Ω 11 A (rms)d 10 Ω 110 A (rms)e 009 Ω 11 A (rms)
29 The inductance of a tuning circuit of an AM radio is 4 mH Find the capacitance of the circuit required for reception at 1200 kHza 21 pFb 44 pFc 212 pFd 434 pFe 276 pF
9
30 Determine the rms current for the circuit
a 55 mAb 77 mAc 99 mAd 0190 Ae 61 mA
31 A series RLC circuit has an impedance of 120 Ω and a resistance of 64 Ω What average power is delivered to this circuit when Vrms = 90 volts
a 36 Wb 100 Wc 192 Wd 360 We 12 W
10
14 The circuit below contains three 100 W light bulbs The emf ε = 110 V Which light bulb(s) is(are) brightest
a Ab Bc Cd B and Ce All three are equally bright
15 When does a constant uniform magnetic field increase the kinetic energy of a charged particle
a alwaysb if the particle is moving in a circlec if the particle is moving across field linesd if the particle is moving along field linese never
16 What is the radius of curvature of the path of a 30-keV proton in a perpendicular magnetic field of magnitude 080 T
a 99 mmb 19 cmc 24 cmd 15 cme 46 mm
5
17 A current loop is oriented in three different positions relative to a uniform magnetic field In position 1 the plane of the loop is perpendicular to the field lines In position 2 and 3 the plane of the loop is parallel to the field as shown The torque on the loop is maximum in
a position 1b position 2c position 3d positions 2 and 3e all three positions
18 If a = 10 cm b = 30 cm and I = 30 A what is the magnitude of the magnetic field at point P
a 062 mTb 059 mTc 035 mTd 031 mTe 010 mT
19 Equal currents of magnitude I travel into the page in wire M and out of the page in wire N Eight directions are indicated by letters A through H
The direction of the magnetic field at point P isa Cb Ec Fd Ge H
6
20 An ideal solenoid of radius a has n turns per unit unit length and current I The magnetic flux through any circular area of radius a inside the solenoid centered on and perpendicular to the solenoid axis is
a
b
c Cd e 0
21 At what frequency should a 200-turn flat coil of cross sectional area of 300 cm2 be rotated in a
uniform 30-mT magnetic field to have a maximum value of the induced emf equal to 80 V
a 75 Hzb 71 Hzc 80 Hzd 84 Hze 16 Hz
22 As shown below a square loop of wire of side a moves through a uniform magnetic field of magnitude B perpendicular to the page at constant velocity directed to the right Judd says that the emf induced in the loop is zero Roger claims that it has magnitude Which one if either is correct and why
a Judd because the magnetic flux through the loop is constantb Roger because the magnetic flux through the loop is constantc Judd because the magnetic flux through the loop is not constant if d Roger because the magnetic flux through the loop is not constant if e Roger because the magnetic flux through the loop is
7
23 The coil shown in the figure has 2 turns a cross-sectional area of 020 m2 and a field (parallel to
the axis of the coil) with a magnitude given by B = (40 + 30t) T where t is in s What is the potential difference VA ndash VC at t = 30 s
a 12 Vb 24 Vc 48 Vd 64 Ve 12 V
24 The circuit shown is in an uniform magnetic field that is into the page and decreasing at the rate 174 Ts What is the net current in the circuit
a 035 A b 060 A c 085 A d 125 A e 140
25 There is no current in the circuit shown in the figure below until the switch is closed The current through the 20 Ω resistor the instant after the switch is closed is either [1] 15 A or [2] 50 A and the current through the 20 Ω resistor after the switch has been closed a long time is either [3] 50 A or [4] 15 A Which combination of the above choices is correct
a [1] and [3]b [1] and [4]c [2] and [3]d [2] and [4]e None of these
8
26 A series LC circuit contains a 100 mH inductor a 360 mF capacitor and a 12 V battery The frequency of the electromagnetic oscillations in the circuit is
a 573 10ndash4
Hzb 955 mHzc 0442 Hzd 266 Hze 440 Hz
27 The figure shows an LR circuit with a switch and a 240-volt battery At the instant the switch is closed the current in the circuit and the potential difference between points a and b Vab are
a 0 A 0 Vb 0 A ndash240 Vc 0 A +240 Vd 0024 A 0 Ve 0024 A +240 V
28 An electric heater draws an average power of 1100 Watts when plugged into a 110 V-rms outlet Calculate the resistance of the heater and the rms currenta 11 Ω 10 A (rms)b 110 Ω 10 A (rms)c 10 Ω 11 A (rms)d 10 Ω 110 A (rms)e 009 Ω 11 A (rms)
29 The inductance of a tuning circuit of an AM radio is 4 mH Find the capacitance of the circuit required for reception at 1200 kHza 21 pFb 44 pFc 212 pFd 434 pFe 276 pF
9
30 Determine the rms current for the circuit
a 55 mAb 77 mAc 99 mAd 0190 Ae 61 mA
31 A series RLC circuit has an impedance of 120 Ω and a resistance of 64 Ω What average power is delivered to this circuit when Vrms = 90 volts
a 36 Wb 100 Wc 192 Wd 360 We 12 W
10
17 A current loop is oriented in three different positions relative to a uniform magnetic field In position 1 the plane of the loop is perpendicular to the field lines In position 2 and 3 the plane of the loop is parallel to the field as shown The torque on the loop is maximum in
a position 1b position 2c position 3d positions 2 and 3e all three positions
18 If a = 10 cm b = 30 cm and I = 30 A what is the magnitude of the magnetic field at point P
a 062 mTb 059 mTc 035 mTd 031 mTe 010 mT
19 Equal currents of magnitude I travel into the page in wire M and out of the page in wire N Eight directions are indicated by letters A through H
The direction of the magnetic field at point P isa Cb Ec Fd Ge H
6
20 An ideal solenoid of radius a has n turns per unit unit length and current I The magnetic flux through any circular area of radius a inside the solenoid centered on and perpendicular to the solenoid axis is
a
b
c Cd e 0
21 At what frequency should a 200-turn flat coil of cross sectional area of 300 cm2 be rotated in a
uniform 30-mT magnetic field to have a maximum value of the induced emf equal to 80 V
a 75 Hzb 71 Hzc 80 Hzd 84 Hze 16 Hz
22 As shown below a square loop of wire of side a moves through a uniform magnetic field of magnitude B perpendicular to the page at constant velocity directed to the right Judd says that the emf induced in the loop is zero Roger claims that it has magnitude Which one if either is correct and why
a Judd because the magnetic flux through the loop is constantb Roger because the magnetic flux through the loop is constantc Judd because the magnetic flux through the loop is not constant if d Roger because the magnetic flux through the loop is not constant if e Roger because the magnetic flux through the loop is
7
23 The coil shown in the figure has 2 turns a cross-sectional area of 020 m2 and a field (parallel to
the axis of the coil) with a magnitude given by B = (40 + 30t) T where t is in s What is the potential difference VA ndash VC at t = 30 s
a 12 Vb 24 Vc 48 Vd 64 Ve 12 V
24 The circuit shown is in an uniform magnetic field that is into the page and decreasing at the rate 174 Ts What is the net current in the circuit
a 035 A b 060 A c 085 A d 125 A e 140
25 There is no current in the circuit shown in the figure below until the switch is closed The current through the 20 Ω resistor the instant after the switch is closed is either [1] 15 A or [2] 50 A and the current through the 20 Ω resistor after the switch has been closed a long time is either [3] 50 A or [4] 15 A Which combination of the above choices is correct
a [1] and [3]b [1] and [4]c [2] and [3]d [2] and [4]e None of these
8
26 A series LC circuit contains a 100 mH inductor a 360 mF capacitor and a 12 V battery The frequency of the electromagnetic oscillations in the circuit is
a 573 10ndash4
Hzb 955 mHzc 0442 Hzd 266 Hze 440 Hz
27 The figure shows an LR circuit with a switch and a 240-volt battery At the instant the switch is closed the current in the circuit and the potential difference between points a and b Vab are
a 0 A 0 Vb 0 A ndash240 Vc 0 A +240 Vd 0024 A 0 Ve 0024 A +240 V
28 An electric heater draws an average power of 1100 Watts when plugged into a 110 V-rms outlet Calculate the resistance of the heater and the rms currenta 11 Ω 10 A (rms)b 110 Ω 10 A (rms)c 10 Ω 11 A (rms)d 10 Ω 110 A (rms)e 009 Ω 11 A (rms)
29 The inductance of a tuning circuit of an AM radio is 4 mH Find the capacitance of the circuit required for reception at 1200 kHza 21 pFb 44 pFc 212 pFd 434 pFe 276 pF
9
30 Determine the rms current for the circuit
a 55 mAb 77 mAc 99 mAd 0190 Ae 61 mA
31 A series RLC circuit has an impedance of 120 Ω and a resistance of 64 Ω What average power is delivered to this circuit when Vrms = 90 volts
a 36 Wb 100 Wc 192 Wd 360 We 12 W
10
20 An ideal solenoid of radius a has n turns per unit unit length and current I The magnetic flux through any circular area of radius a inside the solenoid centered on and perpendicular to the solenoid axis is
a
b
c Cd e 0
21 At what frequency should a 200-turn flat coil of cross sectional area of 300 cm2 be rotated in a
uniform 30-mT magnetic field to have a maximum value of the induced emf equal to 80 V
a 75 Hzb 71 Hzc 80 Hzd 84 Hze 16 Hz
22 As shown below a square loop of wire of side a moves through a uniform magnetic field of magnitude B perpendicular to the page at constant velocity directed to the right Judd says that the emf induced in the loop is zero Roger claims that it has magnitude Which one if either is correct and why
a Judd because the magnetic flux through the loop is constantb Roger because the magnetic flux through the loop is constantc Judd because the magnetic flux through the loop is not constant if d Roger because the magnetic flux through the loop is not constant if e Roger because the magnetic flux through the loop is
7
23 The coil shown in the figure has 2 turns a cross-sectional area of 020 m2 and a field (parallel to
the axis of the coil) with a magnitude given by B = (40 + 30t) T where t is in s What is the potential difference VA ndash VC at t = 30 s
a 12 Vb 24 Vc 48 Vd 64 Ve 12 V
24 The circuit shown is in an uniform magnetic field that is into the page and decreasing at the rate 174 Ts What is the net current in the circuit
a 035 A b 060 A c 085 A d 125 A e 140
25 There is no current in the circuit shown in the figure below until the switch is closed The current through the 20 Ω resistor the instant after the switch is closed is either [1] 15 A or [2] 50 A and the current through the 20 Ω resistor after the switch has been closed a long time is either [3] 50 A or [4] 15 A Which combination of the above choices is correct
a [1] and [3]b [1] and [4]c [2] and [3]d [2] and [4]e None of these
8
26 A series LC circuit contains a 100 mH inductor a 360 mF capacitor and a 12 V battery The frequency of the electromagnetic oscillations in the circuit is
a 573 10ndash4
Hzb 955 mHzc 0442 Hzd 266 Hze 440 Hz
27 The figure shows an LR circuit with a switch and a 240-volt battery At the instant the switch is closed the current in the circuit and the potential difference between points a and b Vab are
a 0 A 0 Vb 0 A ndash240 Vc 0 A +240 Vd 0024 A 0 Ve 0024 A +240 V
28 An electric heater draws an average power of 1100 Watts when plugged into a 110 V-rms outlet Calculate the resistance of the heater and the rms currenta 11 Ω 10 A (rms)b 110 Ω 10 A (rms)c 10 Ω 11 A (rms)d 10 Ω 110 A (rms)e 009 Ω 11 A (rms)
29 The inductance of a tuning circuit of an AM radio is 4 mH Find the capacitance of the circuit required for reception at 1200 kHza 21 pFb 44 pFc 212 pFd 434 pFe 276 pF
9
30 Determine the rms current for the circuit
a 55 mAb 77 mAc 99 mAd 0190 Ae 61 mA
31 A series RLC circuit has an impedance of 120 Ω and a resistance of 64 Ω What average power is delivered to this circuit when Vrms = 90 volts
a 36 Wb 100 Wc 192 Wd 360 We 12 W
10
23 The coil shown in the figure has 2 turns a cross-sectional area of 020 m2 and a field (parallel to
the axis of the coil) with a magnitude given by B = (40 + 30t) T where t is in s What is the potential difference VA ndash VC at t = 30 s
a 12 Vb 24 Vc 48 Vd 64 Ve 12 V
24 The circuit shown is in an uniform magnetic field that is into the page and decreasing at the rate 174 Ts What is the net current in the circuit
a 035 A b 060 A c 085 A d 125 A e 140
25 There is no current in the circuit shown in the figure below until the switch is closed The current through the 20 Ω resistor the instant after the switch is closed is either [1] 15 A or [2] 50 A and the current through the 20 Ω resistor after the switch has been closed a long time is either [3] 50 A or [4] 15 A Which combination of the above choices is correct
a [1] and [3]b [1] and [4]c [2] and [3]d [2] and [4]e None of these
8
26 A series LC circuit contains a 100 mH inductor a 360 mF capacitor and a 12 V battery The frequency of the electromagnetic oscillations in the circuit is
a 573 10ndash4
Hzb 955 mHzc 0442 Hzd 266 Hze 440 Hz
27 The figure shows an LR circuit with a switch and a 240-volt battery At the instant the switch is closed the current in the circuit and the potential difference between points a and b Vab are
a 0 A 0 Vb 0 A ndash240 Vc 0 A +240 Vd 0024 A 0 Ve 0024 A +240 V
28 An electric heater draws an average power of 1100 Watts when plugged into a 110 V-rms outlet Calculate the resistance of the heater and the rms currenta 11 Ω 10 A (rms)b 110 Ω 10 A (rms)c 10 Ω 11 A (rms)d 10 Ω 110 A (rms)e 009 Ω 11 A (rms)
29 The inductance of a tuning circuit of an AM radio is 4 mH Find the capacitance of the circuit required for reception at 1200 kHza 21 pFb 44 pFc 212 pFd 434 pFe 276 pF
9
30 Determine the rms current for the circuit
a 55 mAb 77 mAc 99 mAd 0190 Ae 61 mA
31 A series RLC circuit has an impedance of 120 Ω and a resistance of 64 Ω What average power is delivered to this circuit when Vrms = 90 volts
a 36 Wb 100 Wc 192 Wd 360 We 12 W
10
26 A series LC circuit contains a 100 mH inductor a 360 mF capacitor and a 12 V battery The frequency of the electromagnetic oscillations in the circuit is
a 573 10ndash4
Hzb 955 mHzc 0442 Hzd 266 Hze 440 Hz
27 The figure shows an LR circuit with a switch and a 240-volt battery At the instant the switch is closed the current in the circuit and the potential difference between points a and b Vab are
a 0 A 0 Vb 0 A ndash240 Vc 0 A +240 Vd 0024 A 0 Ve 0024 A +240 V
28 An electric heater draws an average power of 1100 Watts when plugged into a 110 V-rms outlet Calculate the resistance of the heater and the rms currenta 11 Ω 10 A (rms)b 110 Ω 10 A (rms)c 10 Ω 11 A (rms)d 10 Ω 110 A (rms)e 009 Ω 11 A (rms)
29 The inductance of a tuning circuit of an AM radio is 4 mH Find the capacitance of the circuit required for reception at 1200 kHza 21 pFb 44 pFc 212 pFd 434 pFe 276 pF
9
30 Determine the rms current for the circuit
a 55 mAb 77 mAc 99 mAd 0190 Ae 61 mA
31 A series RLC circuit has an impedance of 120 Ω and a resistance of 64 Ω What average power is delivered to this circuit when Vrms = 90 volts
a 36 Wb 100 Wc 192 Wd 360 We 12 W
10
30 Determine the rms current for the circuit
a 55 mAb 77 mAc 99 mAd 0190 Ae 61 mA
31 A series RLC circuit has an impedance of 120 Ω and a resistance of 64 Ω What average power is delivered to this circuit when Vrms = 90 volts
a 36 Wb 100 Wc 192 Wd 360 We 12 W
10
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