Answered: hree systems with efficiencies of 98%,…

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

Three systems with efficiencies of 98%, 87%, and 21% are connected in cascade.
If the system with the least efficiency (21%) were removed
and replaced by one with an efficiency of
90%, what would be the percentage increase in total
efficiency?

Expert Solution

Step 1

Solution :-

When three system are connected in a cascaded system then their efficiencies also get multiplied with each other .

So efficiency of system without replacement : -

$y = . 98 \times . 87 \times . 21 \times s y = . 179 s$

where s is the input and y is the output.

Now when system component is replaced then efficiency is given by :-

$y = . 98 \times . 87 \times . 9 \times s y = . 767 \times s$

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