BE 3rd SEMESTER QUESTION BANKELECTRIC CIRCUIT
B.E.(Third Semester)Examination,April May 2011(Electrical,
Electrical & Electronics Engineering)ELECTRIC CIRCUITTime
allowed: Three hoursMaximum Marks: 80 Minimum Marks: 28Note: Part
(a) of each question is compulsory .Attempt any two parts from (b)
, (c) & (d) of each question . Numerical should be solved with
all intermediate step clearlyUnit - I1(a) Define the following term
2 (i) Twig (ii) Link (b) A network is shown in fig . Draw the
directed graph , tree and show the loop.7
(c) For the network shown in fig. Write down the incidence
matrix, the node admittance matrix and the matrix node
equation.7
(d) (i) Write down the procedure of constructing the dual
network. (ii) Draw the dual of the network shown in fig. 7
Unit IIQ.2 (a) Define reciprocity theorem.2
(b) Find the current impedance with the help of Thevenins
theorem in the circuit as shown in fig7
(c) Find the current through in the circuit of fig using Norton
theorem.7
(d) Using nodal analysis method ,find the voltage across 10
resistor in the network shown in fig.7
Unit - IIIQ.3. (a) Define following term (i) Coefficient of
coupling (ii) Bandwidth 2(b) Find the current in 5 resistance in
magnetically coupled circuit as shown in fig7
(c) What is meant by resonance in a series R-L-C circuit.
explain. Deduce the necessary condition for this to occur.7(d) Draw
a circle diagram for a circuit having constant reactance and
variable resistance. Explain the procedure.7
Unit - IVQ.4. (a) State the advantages of poly phase system over
single phase system (any four)2
(b) Three identical coil connected in delta across 400 V , 50 Hz
, 3 phase ac supply, take a line current of 17.32 A at a power
factor of 0.8 lagging . Calculate7
(i) The phase current (ii) The resistance and inductance of each
coil. (iii) The power drawn by each coil.
(c) Show how the active power in a 3 phase circuit can be
measured with the help of two watt meter. Deduce the expression for
power factor in terms of two wattmeter reading 7
(d) (i) Explain star and delta connection in 3 phase circuit .
State advantages of each type(ii) List out various method of
measurement of power in the phase circuit. Draw the diagram of any
one of them. 7
Unit VQ.5 (a) What do you understand by Fourier series? Explain.
2 (b) Find the Fourier series representation of the sawtooth
waveform as shown in fig and plot its spectrum.7
(c) Obtain the coefficient of the exponential Fourier series for
the waveform shown in fig.7
(d) Derive the expression of power with non sinusoidal voltage
and current.7
B.E.(Third Semester)Examination,Nov.-Dec 2010(Electrical,
Electrical & Electronics Engineering)ELECTRIC CIRCUITTime
allowed: Three hoursMaximum Marks: 80 Minimum Marks: 28
Note : Part (a) of each question is compulsory .Attempt any two
parts from (b) , (c) & (d) of each question . Numerical should
be solved with all intermediate step clearlyUnit - I1. (a) Define
graph of the network. 2
(b) (i) State properties of a tree in a graph.7 (ii) With
reference to fig , draw the graph and write down the tie set
matrix.
(c) (i) Explain property of Duality. 7 (ii) Draw the dual of the
network shown in fig.
(d) Obtain equilibrium equation using nodal equation for the
network shown in fig . Also find node voltage at A and B.7
Q.2 (a) What do you understand by super node analysis? 2
(b) Find the current in each branch for the network shown in fig
by nodal method.7
(c) In given figure find the current in 2 resistor using Nortons
theorem . 7
(d) (i) Define Tellegens theorem . Explain the steps for solving
networks using Tellegens theorem. 7(ii) Obtain the Thevenins
equivalent circuit looking across 2 V voltage source in fig.
Assuming I = 3 amp.
Q.3(a) Define coefficient of coupling. State its formula and
unit.2(b) Find the drop across in the network given in fig.7
(c) In the following fig The parallel a.c. circuit is given.
Deduce an expression for resonance frequency. Also find out Q-
Factor and Dynamic impedance..7
(d) Draw a circle diagram for a circuit having constant
reactance and variable resistance. Explain the procedure.7 Q.4 (a)
What do you mean by phase sequence of three phase supply.2(b) A
balanced star connected load of (8 + j 6 ) per phase is connected
to a 3 phase 400 V supply. Find the line current, Power factor,
power and total volt amperes.7(c) The input power to a three phase
motor was measured by two wattmeter method. The reading were 10.4
kW and 3.4 kW. The voltage was400 V . Calculate7 (i) The power
factor (ii) The line current(d) State various method of measurement
of power in three phase circuit. Explain with diagram the
measurement of 3 phase power by two wattmeter method.7 Q.5 (a) What
are the type of symmetry in Fourier series. 2 (b) Find the
exponential Fourier series of the waveform shown in fig. 7
(c) Find the trigonometric Fourier series for the full wave
rectified voltage wave. 7(d) A complex voltage is given by 7
is applied across a certain circuit and the resulting current is
given by
Find (i) rms value of current and voltage (ii) Total power
supplied (iii) The over all power factor.
B.E.(Third Semester)Examination,April May 2010(Electrical,
Electrical & Electronics Engineering)ELECTRIC CIRCUITTime
allowed: Three hoursMaximum Marks: 80 Minimum Marks: 28
Note : Part (a) of each question is compulsory .Attempt any two
parts from (b) , (c) & (d) of each question . Numerical should
be solved with all intermediate step clearly
Q.1. (a) Find fundamental tie set of a graph.2(b) Obtain the
equilibrium equation in matrix form (using KVL) for the network
shown in fig and also determine the loop and branch current .
taking (4) , (5) and (6) as twigs 7
(c) Obtain the tie set matrix for the network shown taking 4
& 6 as twigs. 7
(d) Draw the dual of the network shown .7
Q.2 (a) What do you mean by super mesh ? 2 (b) Find and in the
circuit shown.7
(c) Using node analysis find (a) (b) the power dissipated in the
2.5 resistor.7
(d) find the Norton equivalent of the network shown in fig.7
Q.3 (a) Why dot conversion is used? 2(b) In the circuit find
voltage across the 5 resistance with the polarity shown .7(c)
Derive the equation of frequency at which and is maximum and
explain quality factor.7(d) Show that no value of in the circuit
shown in fig will mark it resonance.7Q.4 (a) Why 3 phase supply is
widely used? 2(b) Three inductive coil having per phase resistance
of 40 and inductive reactance 30 are connected in Y across a 415 V
, 3 phase , 50 Hz supply. Calculate the rating of 3 capacitor which
must be connected in Y to the supply in order to bring the overall
power factor is unity.7
(c) A 3 phase 434 V, 50 Hz supply is connected to a 3 phase Y
connected induction motor and synchronous motor. Inductance of each
phase of motor is (1.25 + j 2.17) . The 3 phase synchronous motor
is over excited and it draw a current of 120 A at 0.87 leading
power factor. Two wattmeter are connected in usual manner to
measure power drawn by the two motor. Calculate7 (i) reading on
each wattmeter (ii) combined power factor (d) Explain Neutral
Displacement method.7Q.5 (a) What component does the Fourier series
consist of ?2 (b) Explain Even , odd & half waveform symmetry.
7(c) Determine the Fourier expression of the triangular wave form
in shown in fig 7
(d) Determine the power represented by the following and also
determine volampere and power factor7 V A B.E.(Third
Semester)Examination,Nov.-Dec 2009(Electrical, Electrical &
Electronics Engineering)ELECTRIC CIRCUITTime allowed: Three
hoursMaximum Marks: 80 Minimum Marks: 28
Note : Part (a) of each question is compulsory .Attempt any two
parts from (b) , (c) & (d) of each question . Numerical should
be solved with all intermediate step clearly
Q.1. (a) Define incidence matrix with an example.2
(b) Use mesh analysis to evaluate three unknown current in the
circuit of figure shown below. 7
(c) A graph is shown below . Find the tie set and cut set matrix
and obtain the KCL and KVL equation.7
(d) Using node analysis , find the value of for the circuit
shown. When the power loss in 1 resistor is 9 W.7
Q.2 (a) State Reciprocity theorem.2(b) Find the current through
in the circuit shown using Thevenins theorem.7
(c) Find the current in the (-j6 ) capacitive reactance using
super position theorem for the circuit shown. 7
(d) State Tellegens theorem . In the network shown =10 V , =4 V
, =6 V also it is given that == 2 A while = 4 A check the validity
of Tellegens theorem. 7
Q.3 (a) Find the total inductance of the three series connected
coupled coil are as shown 7 Given = 1 H = 2 H = 5 H = 0.5 H = 1H =
1 H
(b) A 50 Hz , 220 V is applied to a series RLC circuit where R =
10 , L = 500 mH . The through current is found to be maximum. What
is the value of the capacitive reactance.? Next a capacitor is
connected in parallel with the series combination . What would be
the value of capacitance such that the combination is at resonance
at 100 Hz.7 (c) Find the drop across .7
(d) Explain and draw diagram for series R-L circuit. 7Q.4 (a)
Define the neutral displacement voltage related to unbalance three
phase system.2(b) A delta connected load has the following
impedances = j10 , = 10 and = - j10 if the load be connected across
a three phase 100 V supply obtain the line current..7 (c) Three
impedance = 120 , = 12 and = 10 are connected in star to a three
phase 4 wire 416 /240 supply system the voltage being = , = and = .
Determine the three line current and current in the neutral. 7(d) A
500 volt , 3 phase motor has an output of 37.3 kW and operates at a
power factor of 0.85 with an efficiency of 90 % . Calculate the
reading of each wattmeter connected to measure the input.7Q.5 (a)
Define even and odd symmetry with wave form.2 (b) Find the
trigonometric Fourier series for the full wave rectifier voltage
wave form. 7
(c) A voltage is applied in series with R = 20 and L = 0.05 H .
Calculate 7 (i) The RMS value of the current and voltage (ii) Total
power supplied (iii) Power factor (d) Find the Fourier coefficient
of the wave form shown in fig 7
B.E.(Third Semester)Examination,April May 2009(Electrical,
Electrical & Electronics Engineering)ELECTRIC CIRCUITTime
allowed: Three hoursMaximum Marks: 80 Minimum Marks: 28Note: Part
(a) of each question is compulsory .Attempt any two parts from (b)
, (c) & (d) of each question . Numerical should be solved with
all intermediate step clearlyQ.1. (a) Develop the reduced incidence
matrix of the graph shown in fig below.2
(b) For the graph shown in fig below consider the tree formed by
branches (2,3,4), using this write , matrix.7
(c) for the network shown in fig determine the f-loop matrix and
f-loop equation. 7
(d) (i) For the circuit given below in fig find dual
network.7
(ii) Define lumped ,liner and bilateral element in brief.Q.2 (a)
Explain the term super node and super mesh.2(b) using nodal
analysis find the node voltage and in fig below.7
(c) Find Thevenins Equivalent circuit across terminal A- B and
voltage across branch AB in fig.7
(d) Verify Tellegens theorem for the circuit shown in fig
below.7
Value given -: =40 Volts = 32 Volts , = 4 Volts -: = 8 Volts =28
Volts = 12 Volts -: = 40 A = 24A, = 4 A -: = 28 Volts = 8 Volts , =
4 AQ.3(a) Calculate the net inductance of the network shown
below.2
(b) A variable frequency constant voltage signal generator
supplies a RLC circuit at sinusoidal mode. Find the frequency at
which maximum voltage across the inductor would appear.7(c)
Determine and in the circuit of fig assume K = 1 7
(d) A resistance of 5 is connected in series with an inductive
reactor which are varies between 2 and 20 . Obtain the locus of the
current vector when the circuit is connected to a 250 volt supply.
Determine the value of current and power factor when the reactance
is 7 (i) 3 (ii) 12 (iii) 16Q.4 (a) Differentiate balance and un
balanced poly phase system.
(b) Determine the three ammeter reading for the circuit shown in
fig below . The supply voltage is 3 phase , 240 volt , 50 Hz .
(c) A star connected balance load is supplied from a 3 phase
balanced source voltage of 415 volt, 50 Hz. Each phase of the load
consist of resistance and a capacitor in series . Reading of two
wattmeter connected to measure the power read 1080 watts and 1380
watts.7 Calculate : (i) power factor of the circuit. (ii) line
current (iii) Resistance and reactance of load per phase. Draw the
circuit diagram and phasor diagram.(d) Three resistance of 5 , 10
and 15 are connected in delta across 3 phase 100 volt balanced
supply. What the sequence component of current in the resistor and
in the supply line.7Q.5 (a) Find the amplitude of the 5th harmonics
of the given waveform in fig below.2
(b) find the Fourier series of the wave form shown in fig below.
7 Where
(c) Obtain the Fourier series representation of the saw tooth
wave form shown in fig below and plot its spectrum.7
(d) A 3 phase generator has a generated emf of 230 volts with 15
percent 3 rd harmonics and 10 % 5th harmonics content. calculate 7
(i) rms value of line voltage for star connection. (ii) rms value
of line voltage for Delta connection.
B.E.(Third Semester)Examination,Nov.-Dec 2008(Electrical,
Electrical & Electronics Engineering)ELECTRIC CIRCUITTime
allowed: Three hoursMaximum Marks: 80 Minimum Marks: 28
Note : Part (a) of each question is compulsory .Attempt any two
parts from (b) , (c) & (d) of each question . Numerical should
be solved with all intermediate step clearlyQ.1 (a) Define Graph of
the network. 2 (b) Developed the cut set matrix and equilibrium
equation for the oriented graph shown in fig.7
(c) Draw the dual of the network shown in fig.7
(d) Explain the following by given example.7 (i) link (ii) Twing
& tree (iii) Cut set and Tie-set matrix (iv) DualityQ.2. (a)
State the superposition theorem..2(b) Replace the network shown in
fig across with Norton equivalent 7
(c) in the network shown in fig determine the voltage V , which
result in zero current through the impedance . Use Mesh analysis.
7
(d) Find the current through inductor of using superposition
theorem for the network shown in fig.7
Q.3. (a) Define resonance in electric circuit. 2(b) For an ideal
transformer, show that
Where and are the self inductance of primary and secondary
winding (K=1)7 (c) Determine the Q factor of the series RLC circuit
. Also determine the new value of C required for resonance at 500
kHz when the value of L is doubled and calculate the new Q-
factor.7
(d) A parallel LC circuit has an inductance L = 100 H with a
coil resistance of 12 . The capacitor C is adjustable over the
range 200 pF to 300 pF. Determine the maximum and minimum frequency
for the circuit. Also calculate the Q factor and bandwidth. 7
Q.4 (a) What is mean by phase sequence . 2(b) derive the
relation ship between phase voltage and line voltage and phase
current and line current for 3 phase balance star connected system.
Draw the phasor diagram. 7(c) A three phase balance load is
supplied from three phase balance 400 V 50 Hz supply and is
connected in delta . The load draw the line current of 10 amp at
0.8 power factor lagging. Calculate (i) Total phase current (ii)
Total active power (iii) total reactive power7(d) A delta
connection with balance load of resistance of 200 in series with
capacitance of 10 F and inductance of L = 400 mH . The line voltage
is and frequency 50 Hz. Calculate the load current and line
current.Q.5 (a) Define the frequency spectra.2(b) Derive the
trigonometric form of Fourier series.7(c) Find the exponential
Fourier series of given wave form in fig.7
d) A square waveform is shown in fig . Obtain the Fourier
series.7
B.E.(Third Semester)Examination,April May 2008(Electrical,
Electrical & Electronics Engineering)ELECTRIC CIRCUITTime
allowed: Three hoursMaximum Marks: 80 Minimum Marks: 28Note: Part
(a) of each question is compulsory .Attempt any two parts from (b)
, (c) & (d) of each question . Numerical should be solved with
all intermediate step clearlyUnit 1Q.1. (a) Define unilateral ,
bilateral , active and passive circuit element. 2(b) Find in the
circuit shown below.7
(c) Construct the dual of the network in the neat form with
construction going from meshes to nodes , with normalization factor
equal to unity for the fig 7
(d) Write down the tie set matrix of the network shown in fig
after drawing the graph and selecting a tree .7
Unit IIQ.2. (a) Define ideal voltage and ideal current
source.2(b) By the use of superposition theorem. Find the power
absorbed by each source in fig. 7
(c) Find the current flowing through 10 resistance using
Thevenins theorem in fig..7
(d) Calculating using Norton theorem if and volts in fig7
Unit IIIQ.3. (a) Define coefficient of coupling2
(b) Find the power delivered by the source for the coupled
circuit shown in fig .Take rad/sec.7
(c) A series RLC circuit is expressed from a constant voltage ,
variable frequency source. The current in the circuit becomes
maximum of a frequency of rad/sec. and falls to half the maximum
value at rad/sec .if the resistance in the circuit is 3 . Find L
and C. 7
(d) A parallel circuit consist of 20 capacitive reactance in one
branch and a resistance of 25 ohms in series with a variable
inductance in another branch . If the circuit voltage is 200 V and
the variable inductive reactance is assumed to vary from zero to a
very high value . Draw the total current locus and determine the
minimum current and maximum voltage.7Unit IVQ.4. (a) Define the
term neutral displacement voltage related to unbalance three phase
system. 2(b) A three phase three wire system with phase sequence of
a,b,c is shown in fig. Let and . If the total load inclusive of
wire resistance () draws 5 kVA at power factor = 0.8 lag .
Determine the power lost in line resistance and the source line to
neutral voltage .7 (c) A 3 phase ,440 V delta connected system has
the load branch RY 20 kW at power factor 0.8 lag branch BR 20 kVA
at power factor 0.6 leading. Find the line current and reading on
wattmeter whose current coil are in phase R and B. 7(d) In fig
shown Lab = Lcd = 0.01 Henry and the coefficient of coupling is
0.5. Assume no resistance or inductance except as indicated in fig
. The phase sequence is a,b,c and . for rad/sec. Calculate the line
current. 7
Q.5 (a) Define even and odd symmetry with suitable wave
forms.2(b) Express the voltage waveform by Fourier series for the
fig shown. 7
(c) Determine whether the following two wave are of the same
shape . Also find the power7 (d) Three similar star connected coil
each of resistance 25 and inductance 0.5 H are supplied from a 3
phase star connected alternator. The phase voltage is where . The
star point of the load and alternator are connected . calculate
effective value of the line voltage , total power absorbed by the
load and current in the neutral conductor.7
B.E.(Third Semester)Examination,Nov.-Dec 2007(Electrical,
Electrical & Electronics Engineering)ELECTRIC CIRCUITTime
allowed: Three hoursMaximum Marks: 80 Minimum Marks: 28Note : Part
(a) of each question is compulsory .Attempt any two parts from (b)
, (c) & (d) of each question . Numerical should be solved with
all intermediate step clearlyUnit 1Q.1 (a )Define duality with an
example. 2(b) Find in the circuit shown below.7
(c) Determine using nodal analysis & power being supplied by
dependent source.7
(d) Find value of and in the circuit by constructing a suitable
tree.7
Unit IIQ.2 (a) State Tellegens theorem.2(b) use the
superposition theorem to find in the circuit & power absorbed
by 100 V source.7
(c) Find the Thevenins equivalent for the network shown
below.7
(d) Find the Norton equivalent of the given network.7
Unit IIIQ.3 (a) Define quality factor & bandwidth of
parallel circuit.2(b) Compute the voltage for the coupled circuit
shown in fig.7(c) A 480 V , 60 Hz source supplies energy to a
parallel circuit consisting of a branch & a branch. Determine
the impedance of a circuit element that if connected in series with
source will causes the system to be in resonance.7
(d) Explain & draw locus diagram for series R-L
circuit.7
Unit IVQ.4 (a) Describe in brief the phase sequence . 2(b) The
balanced 3 phase star connected source has with positive phase
sequence. The balanced 3 phase load draw 15 kW & 9 KVAR . find7
(i) (ii) (iii)
(c) A balanced 3 phase 3 wire system has star connected load .
Each phase contains three loads in parallel j 100 , 100 & 50 +
j 50 . Assume positive phase sequence with . find 7 (i) (ii) (iii)
power factor of load (iv) power drawn by load(d) The line current
to a lightly loaded 3 phase motor ,operating from a 450 V 3 phase
system is 24 A . The power factor of motor is 0.47 lagging . If the
two wattmeter method is used to measure the 3 phase power supplied
to motor calculate reading of each wattmeter. 7Unit VQ.5 (a) Write
the expression for Fourier coefficient. 2(b) Find the Fourier
series representation of given wave form.7
(c) Deduce the expression for exponential Fourier coefficient
.7(d) Find the average power supplied to network if and Also find
effective value of current and voltage.
B.E.(Third Semester)Examination,April May 2007(Electrical,
Electrical & Electronics Engineering)ELECTRIC CIRCUITTime
allowed: Three hoursMaximum Marks: 80 Minimum Marks: 28Note:
Attempt any two question from each unit .All question carry equal
marksUnit 1Q.1 (a) Draw the fundamental cut set corresponding to a
tree of the network graph which is shown by solid in fig. Write the
fundamental cutest matrix of the graph .Write all linearly
independent KCL equation of the network.8
(b) For the network shown determine f loop matrix, loop
impedance matrix and loop current (based on graph theory)8
(c) (i) Draw the dual of the network given below. 4
(ii) Explain the following :4(a) Lumped and distributed
parameter(b) Active and passive network Unit IIQ.2 (a) Using mesh
analysis Find the magnitude of the current dependent source and
current through the 2 resistor for the network given below8
(b) write the node equation for the network shown in fig in
matrics form and hence find current through the 4 resistance.8
(c) Use Thevenins thermo to determine the current trough the
impedance (6+j8) in the network of fig 8
Unit IIIQ.3 (a) Find the current drawn from the source in fig.
8
(b) Explain what do you understand by bandwidth and selectivity
of series resonant circuit , Show that
For the series resonating circuit , where the notation has their
usual meaning. 8(c) Draw the current locus diagram of the circuit
shown in fig where R is variable between 1 and 5 ohms . From the
diagram find the value of total current when R = 2 ohms 8
Unit IVQ.4 (a) With necessary circuit the phasor diagram . Show
that power and power factor of 3 phase circuit can be measured with
two wattmeter.8(b) Three impedances = , = and = are connected in
stare across a 3 phase 3 wire 416 volt supply system. The voltage
being , and Volts . Determine all the line current and displacement
neutral voltage. 8(c) Define phase sequence of a poly phase system
. Explain the method of checking the phase sequence of a three
phase voltage system 8Unit VQ.5 (a) find the Fourier series for the
wave shown in fig also draw a graph showing different harmonics and
there magnitude. 8
(b) In a linear circuit consisting of R = 9 ohm and L = 8 mH a
current is flowing find 8 (i) The equation of applied voltage (ii)
rms value of current and voltage (iii) the average power(c) Why
third harmonic voltage does not contribute to line voltage in 3
phase star and delta system although it appears in generated
voltage ? Explain
B.E.(Third Semester)Examination,Nov.-Dec 2006(Electrical,
Electrical & Electronics Engineering)ELECTRIC CIRCUITTime
allowed: Three hoursMaximum Marks: 80 Minimum Marks: 28Note:
Attempt any two question from each unit .All question carry equal
marksUnit 11. Find for the circuit shown in fig using source
transformation and Kirchhoffs law. 8
2. The given matrix is a reduce incidence matrix of a graph.
Draw the graph and obtain the fundamental cut set matrix using
branch numbered (1), (3) and (5) as twigs.8
3. What is dual network ? Explain the procedure to obtain the
duel network of a given network. Draw the dual of the network in
fig 8
Unit II4. Find the current through the capacitor of (-5j)
reactance in fig using super position theorem. 8
5. If the power loss in 1 resistor of fig is 25 W . Find the
value of K in the dependent source using nodal method. 8
6. Determine current I in the network shown in fig using
Thevenins theorem.8
Unit III7. Draw the electrical equivalent circuit by replacing
dotes with voltage source and calculate the input impedance of the
network shown in fig8
8. The winding sense of four coil on the iron core is shown in
fig. Using different shaped dotes establish polarity marking for
the winding .Explain reason for each polarity marking using
suitable sketches all relevant coils at a time.8
9. A circuit is made up of 1 K resistance , a 1 F capacitance
and a 100 mH inductance , all connected in series a voltage of 100
V at varying frequencies is applied to the circuit . Determine (a)
Resonant frequency(b) Q factor(c) Half power frequencies8Unit
IV
10. A three phase supply , with an effective line voltage 240 V
and phase sequence ABC has the unbalance connected load shown in
fig. Obtain the line current and total power.8
11. A 500 volts 3 phase motor has an output of 37.3 kW and
operates at a pf of 0.85 with an efficiency of 90 % . Calculate the
treading on each of the two wattmeter connected to measure the
input.812. A y connected load with = , = and = is connected to a
three phase ,three wire , ABC system having effective line voltage
141.4 V . Find the load voltage , , and the displacement neutral
voltage , where O is the star point 813. Determine the Fourier
series for the Saw tooth function shown in fig.8
14. The voltage applied to a load is and the current in the load
is . Determine the average power in the load and the effective
value of current and voltage.815. Deduce the Expression for
exponential Fourier coefficient and obtain expression for
exponential form of Fourier series.8