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EE233 Homework 5: Circuit Analysis and Transfer Functions, Exercises of Electrical Engineering

The Fundamental of Circuit Theory

Typology: Exercises

2019/2020

Uploaded on 01/09/2020

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EE233
Homework 5
Due: 0900 Tuesday 4 November, 2014
Problem 1
The switch in the circuit in the following figure has been in position a for a long time. At t = 0, it moves
instantaneously from a to b.
a. Construct the s-domain circuit for t > 0
b. Find V0(s)
c. Find v0 (t) for t ≥ 0
Problem 2
Find v0 in the circuit shown in Fig. 2 if ig = 5u(t) mA. There is no energy stored in the circuit at t = 0.
Figure 2
Problem 3
There is no energy stored in the circuit in the following figure below at the time the sources are
energized.
a. Find I1 (s) and I2(s)
b. Use the initial- and final-value theorems to check the initial- and final-values of i1 (t) and i2(t)
c. Find i1(t) and i2(t) for t ≥ 0
pf3

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EE

Homework 5

Due: 0900 Tuesday 4 November, 2014

Problem 1 The switch in the circuit in the following figure has been in position a for a long time. At t = 0, it moves instantaneously from a to b. a. Construct the s-domain circuit for t > 0 b. Find V 0 (s) c. Find v 0 (t) for t ≥ 0 Problem 2 Find v 0 in the circuit shown in Fig. 2 if ig = 5u(t) mA. There is no energy stored in the circuit at t = 0. Figure 2 Problem 3 There is no energy stored in the circuit in the following figure below at the time the sources are energized. a. Find I 1 (s) and I 2 (s) b. Use the initial- and final-value theorems to check the initial- and final-values of i 1 (t) and i 2 (t) c. Find i 1 (t) and i 2 (t) for t ≥ 0

Problem 4 For the s-domain circuit in Fig. 4, find: a. The transfer function H(s) b. The impulse response

c. The response when vi ( t )= u ( t ) V

d. The response when vi ( t )= 8 cos 2 t V

Figure 4 Problem 5 The op amp in the circuit seen in Fig. 5 is ideal. a. Find the transfer function

b. Find vo if vg =0.6^ u^ (^ t^ )^ V

c. Find the steady-state expression for vo if vg =^2 cos^ 10,000^ t^ V

Figure 5