ECS 203: Practice Questions for HW 8 · 2) [Alexander and Sadiku, 2009, Q5.25] Calculate v o in the op amp circuit of Figure 2. Figure 2 3) [Alexander and Sadiku, 2009, Q5.30] In

Sirindhorn International Institute of Technology

Thammasat University at Rangsit

School of Information, Computer and Communication Technology

ECS 203: Practice Questions for HW 8

Semester/Year: 2/2014

Course Title: Basic Electrical Engineering Instructor: Asst. Prof. Dr. Prapun Suksompong ([email protected]) Course Web Site: http://www2.siit.tu.ac.th/prapun/ecs203/

Questions The tutorial questions this week are about trying to realize that the op amp circuits provided are in the

form of some op amp circuits that we have already seen in class and hence we can avoid re-deriving

some of the relationship.

1) [Alexander and Sadiku, 2009, Q5.21] Use superposition theorem to calculate vo in the op amp

circuit of Figure 1.

Figure 1

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http://www2.siit.tu.ac.th/prapun/ecs203/

2) [Alexander and Sadiku, 2009, Q5.25] Calculate vo in the op amp circuit of Figure 2.

Figure 2

3) [Alexander and Sadiku, 2009, Q5.30] In the circuit shown in Figure 3, find ix and the power

absorbed by the 20- resistor.

Figure 3

4) [Alexander and Sadiku, 2009, Q5.34] Given the op amp circuit shown in Figure 4, express vo

in terms of v1 and v2.

Figure 4

[Alexander and Sadiku, 2009, Q5.21]Monday, July 1, 2013 4:02 PM

2014 HW8 Tutorial Page 1










ECS 203: Practice Questions for Problem Set 9



Questions 1) [Alexander and Sadiku, 2009, Q6.9] The current through a 0.5-F capacitor is 6(1-e-t) A.

Determine the voltage and power at t = 2 s. Assume v(0) = 0.

2) [Alexander and Sadiku, 2009, Q6.21] Determine the equivalent capacitance at terminals a-b

of the circuit in Figure 1.

Figure 1

3) [Alexander and Sadiku, 2009, Q6.29] Determine Ceq for each circuit in Figure 2.

Figure 2



4) [Alexander and Sadiku, 2009, Q6.30] Assuming that the capacitors are initially uncharged,

find vo(t) in the circuit in Figure 3.

Figure 3

5) [Alexander and Sadiku, 2009, Q6.47] For the circuit in Figure 4, calculate the value of R that

will make the energy stored in the capacitor the same as that stored in the inductor under

dc conditions.

Figure 4

6) [Alexander and Sadiku, 2009, Q6.56] Find Leq in the circuit in Figure 5.

Figure 5

[Alexander and Sadiku, 2009, Q6.9] Tuesday, August 20, 2013 7:31 PM


[Alexander and Sadiku, 2009, Q6.21] Monday, August 12, 2013 9:24 PM


















Questions

1) [Alexander and Sadiku, 2009, Q9.18] Obtain the sinusoids corresponding to each of the

following phasors:

2) [Alexander and Sadiku, 2009, Q9.17] Two voltages v1 and v2 appear in series so that their

sum is v = v1+v2.

If v1 = 10 cos(50t – π/3) V and v2 = 12 cos(50t + 30) V,

Simplify v. (Your answer should be a time-dependent sinusoid in standard form.)

3) [Alexander and Sadiku, 2009, Q9.24b] Find v(t) in the following integrodifferential equation

using the phasor approach:

5 4 20sin 4 10dv

v t vdt tdt

4) [Alexander and Sadiku, 2009, Q9.60] Obtain Zin for the circuit shown in Figure 1.



Figure 1

5) [Alexander and Sadiku, 2009, Q9.41] Find v(t) in the RLC circuit of Figure 2.

Figure 2

6) [Alexander and Sadiku, 2009, Q10.16] Use nodal analysis to find Vx in the circuit shown in

Figure 3.

Figure 3

7) [Alexander and Sadiku, 2009, Q10.25] Solve for io in Figure 4 using mesh analysis.

Figure 4

8) [Alexander and Sadiku, 2009, Q10.28] In the circuit of Figure 5, use mesh analysis to

determine the mesh currents i1 and i2.

Let v1 = 10 cos4t V and v2 = 20 cos(4t – 30) V.

Figure 5

9) [Alexander and Sadiku, 2009, Q10.49] Using source transformation, find i in the circuit of

Figure 6.

Figure 6



[Alexander and Sadiku, 2009, Q9.17]Tuesday, August 27, 2013 7:49 PM


[Alexander and Sadiku, 2009, Q9.24b]Tuesday, August 27, 2013 7:32 PM


[Alexander and Sadiku, 2009, Q9.60] Sunday, August 25, 2013 9:59 PM




[Alexander and Sadiku, 2009, Q10.16] Nodal AnalysisSunday, August 25, 2013 9:59 PM


[Alexander and Sadiku, 2009, Q10.25] Sunday, August 25, 2013 9:59 PM


[Alexander and Sadiku, 2009, Q10.28] Monday, August 26, 2013 10:36 AM


[Alexander and Sadiku, 2009, Q10.49] Source TransformationSunday, August 25, 2013 9:59 PM








Questions

1) [Alexander and Sadiku, 2009, Q10.40] Find io in the circuit shown in Figure 1 using

superposition.

Figure 1

2) [Alexander and Sadiku, 2009, Q10.69] For the differentiator shown in Figure 2, obtain Vo/Vs.

Find vo(t) when vs(t) = Vm sin t and = 1/RC.

Figure 2



3) [Alexander and Sadiku, 2009, Q11.1] If we have v(t) = 160 cos 50t V across an element and

i(t) = - 20 sin (50t - 30) A through that element,

a) Calculate the instantaneous power. Express your answer in two parts, the constant part

and the sinusoidal part, as discussed in lecture.

b) Calculate the average power.

4) [Alexander and Sadiku, 2013, Q11.3] A load consists of a 60- resistor in parallel with a 90-

F capacitor. If the load is connected to a voltage source vs(t) = 160 cos 2000t V, find the

average power delivered to the load.

5) Determine the average power supplied by each source in the circuit in Figure 3.

Figure 3

6) [Alexander and Sadiku, 2009, Q11.9] For the op amp circuit in Figure 4, Vs = 230o V. Find

the average power absorbed by the 20-kΩ resistor.

Figure 4

[Alexander and Sadiku, 2009, Q10.40] Two FrequenciesSunday, August 25, 2013 9:59 PM


[Alexander and Sadiku, 2009, Q10.69] Op AmpSunday, August 25, 2013 9:59 PM


[Alexander and Sadiku, 2009, Q11.1] Average PowerSunday, August 25, 2013 9:59 PM


[Alexander and Sadiku, 2009, Q11.3] Average PowerTuesday, September 03, 2013 7:15 PM


AC Power AnalysisTuesday, September 03, 2013 7:31 PM



[Alexander and Sadiku, 2009, Q11.9] Tuesday, September 10, 2013 8:56 PM





ECS 203: Problem Set 13 Tutorial



Questions 1. Given the circuit in Figure 1, determine the impedance ZL for maximum average power

transfer and the value of the maximum average power transferred to this load.

Figure 1

2. [Alexander and Sadiku, 2012, Q11.22] Find the rms value of the offset sine wave shown in

Figure 2.

Figure 2: [Alexander and Sadiku, 2012, Figure 11.53]

3. [Alexander and Sadiku, 2012, Q11.36d] Calculate the rms value for



v(t) = 5 sin t + 4 cos t V

4. [Alexander and Sadiku, 2012, Q11.24] Determine the rms value of the waveform in Figure 3.


5. [Alexander and Sadiku, 2012, Q11.25] Find the rms value of the signal shown in Figure 4.


6. Find the solution of the following (first order) differential equations

(a) 3 0d

x t x tdt

, 0 3x .

(b) 4 4d

x t x tdt

, 2 5x .

7. [Alexander and Sadiku, 2009, Q7.1] In the circuit shown in Figure 5

v(t)=56e-200t V, t > 0

i(t)=8e-200t mA, t > 0

(a) Find the values of R and C.

(b) Calculate the time constant (c) Determine the time required for the voltage to decay half its initial at t = 0.

Figure 5

[Non A&S] Max Power TransferTuesday, September 10, 2013 8:56 PM







[Alexander and Sadiku, 2012, Q11.36d] Tuesday, September 10, 2013 9:29 PM






Solution of the first order ODETuesday, September 17, 2013 9:17 PM






ECS 203: Practice Questions for HW 8 · 2) [Alexander and Sadiku, 2009, Q5.25] Calculate v o in the op amp circuit of Figure 2. Figure 2 3) [Alexander and Sadiku, 2009, Q5.30] In

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