K = 36L = 24M = 12 R(s)E(s)(2 K)sC(s)KsLsMs(3 L)sa)C(s)=?R(s)G(s) :b) E(s) =?

Answered: a) C(s) =? R(s) G(s) b) E(s) =?

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

K = 36

L = 24

M = 12

R(s)
E(s)
(2 K)s
C(s)
Ks
Ls
Ms
(3 L)s
a)
C(s)
=?
R(s)
G(s) :
b) E(s) =?

Expert Solution

Step 1

The above question is based on finding transfer function using block reduction technique.

Transfer function of a system is defined as the ratio Laplace transform of input to the Laplace transform of output when all initial conditions are considered as zero.

To find the transfer function using block reduction some rules to be followed.

If blocks are in series equivalent block is product of blocks.
If blocks are in parallel equivalent block is sum of the blocks
if block is in negative feedback with forward gain G and feedback H equivalent block is G/(1+GH).
If block is in positive feedback with forward gain G and feedback H equivalent block is G/(1-GH).

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