a) Find the numerical expression for the transfer function Io/I, as a function of u for the circuit in the figure.b) Find the largest µ that will produce a bounded output signal for a bounded input signal.c) Find io for u = -3, 0, 4, 5, and 6 if i, = 5u(t) A.8 kNva3 2 kNi 32 HAnswers:1000(1- 4)+ 1000(5 – H)a) H(s)b) u < 5H H(s)-3 4000/(s+8000)I,20,000/s(s +8000)0 1000/(s +5000)5000/s(s + 5000)4 -3000/(s + 1000)-15,000/s(s + 1000)5 -4000/s-20,000/s26 -5000/(s - 1000) -25,000/s(s - 1000)c)

The current flowing through 2 kΩ resistor is given as, I2k=ig-i0 Also, v△=2kig-i0

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Find the numerical expression for the transfer function Io/I, as a function of u for the circuit in the figure.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

a) Find the numerical expression for the transfer function Io/I, as a function of u for the circuit in the figure.
b) Find the largest µ that will produce a bounded output signal for a bounded input signal.
c) Find io for u = -3, 0, 4, 5, and 6 if i, = 5u(t) A.
8 kN
va3 2 kN
i 32 H
Answers:
1000(1- 4)
+ 1000(5 – H)
a) H(s)
b) u < 5
H H(s)
-3 4000/(s+8000)
I,
20,000/s(s +8000)
0 1000/(s +5000)
5000/s(s + 5000)
4 -3000/(s + 1000)-15,000/s(s + 1000)
5 -4000/s
-20,000/s2
6 -5000/(s - 1000) -25,000/s(s - 1000)
c)

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