Electric Circuits (10th Edition)
Electric Circuits (10th Edition)
10th Edition
ISBN: 9780133760033
Author: James W. Nilsson, Susan Riedel
Publisher: PEARSON
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Chapter 13, Problem 1P
To determine

Derive the inductor current in s-domain as shown in given equivalent circuit.

Expert Solution & Answer
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Answer to Problem 1P

The inductor current in s-domain for the given equivalent circuit is derived as V(s)sL+I0s.

Explanation of Solution

Given data:

Refer to the given circuit in textbook.

The inductor current is a function of terminal voltage.

Calculation:

Write a general expression to calculate the inductor current in time domain.

i=1L0tvdt+i0        (1)

Here,

L is the value of inductance,

v is the terminal voltage, and

i0 is the initial current.

Apply Laplace transform for equation (1) to find I(s).

I(s)=1L(V(s)s)+I0s{L(0tf(t)dt)=1sF(s)L(1)=1s}=V(s)sL+I0s

Conclusion:

Thus, the inductor current in s-domain for the given equivalent circuit is derived as V(s)sL+I0s.

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Chapter 13 Solutions

Electric Circuits (10th Edition)

Ch. 13.5 - The unit impulse response of a circuit is υo(t) =...Ch. 13.7 - The current source in the circuit shown is...Ch. 13.7 - For the circuit shown, find the steady-state...Ch. 13 - Prob. 1PCh. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - Prob. 4PCh. 13 - An 8 kΩ resistor, a 25 mH inductor, and a 62.5 pF...Ch. 13 - Prob. 6PCh. 13 - Find the poles and zeros of the impedance seen...Ch. 13 - Find the poles and zeros of the impedance seen...Ch. 13 - Prob. 9PCh. 13 - Prob. 10PCh. 13 - Prob. 13PCh. 13 - Prob. 15PCh. 13 - There is no energy stored in the circuit in Fig....Ch. 13 - There is no energy stored in the circuit in Fig....Ch. 13 - Prob. 25PCh. 13 - Prob. 28PCh. 13 - The switch in the circuit seen in Fig. P13.32 has...Ch. 13 - Prob. 31PCh. 13 - Prob. 33PCh. 13 - Prob. 35PCh. 13 - Prob. 46PCh. 13 - Prob. 47PCh. 13 - Find the transfer function H(s) − Vo/Vi for the...Ch. 13 - Prob. 49PCh. 13 - Prob. 50PCh. 13 - Prob. 51PCh. 13 - Prob. 53PCh. 13 - Prob. 54PCh. 13 - The operational amplifier in the circuit in Fig....Ch. 13 - Find the transfer function Io/Ig as a function of...Ch. 13 - Prob. 58PCh. 13 - Prob. 59PCh. 13 - Prob. 60PCh. 13 - Prob. 61PCh. 13 - Assume the voltage impulse response of a circuit...Ch. 13 - Prob. 68PCh. 13 - The input voltage in the circuit seen in Fig....Ch. 13 - Find the impulse response of the circuit shown in...Ch. 13 - Prob. 73PCh. 13 - Prob. 74PCh. 13 - Prob. 75PCh. 13 - The op amp in the circuit seen in Fig. P13.81 is...Ch. 13 - Prob. 78PCh. 13 - The transfer function for a linear time-invariant...Ch. 13 - Prob. 80PCh. 13 - Prob. 81PCh. 13 - Prob. 82PCh. 13 - Prob. 84PCh. 13 - Prob. 85PCh. 13 - The parallel combination of R2 and C2 in the...Ch. 13 - Show that if R1C1 = R2C2 in the circuit shown in...Ch. 13 - The switch in the circuit in Fig P13.91 has been...Ch. 13 - Prob. 90PCh. 13 - Prob. 91P
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