Cİrcuit Theory I Calculate trepower generatedby the dependent current SourceYiB80v(Anower:P- -5085 w )20v25 2

Answered: ム566 Calculate tre power generoted 22…

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

Cİrcuit Theory I

Calculate tre
power generated
by the dependent current Source
YiB
80v
(Anower:
P- -5085 w )
20v
25 2

Expert Solution

Step 1

Fig: Given circuit

Apply KCL at node A

$\frac{V_{A} - 20}{4} + \frac{V_{A} - V_{C}}{1} + 45 i_{B} = 0 \frac{V_{A} - 20}{4} + \frac{V_{A} - V_{C}}{1} + 45 \times \frac{V_{C}}{25} = 0 \frac{V_{A} - 20}{4} + \frac{V_{A} - V_{C}}{1} + 1.8 V_{C} = 0 0.25 V_{A} - 5 + V_{A} - V_{C} + 1.8 V_{C} = 0 1.25 V_{A} + 0.80 V_{C} = 5 (1) apply KCL at node B \frac{V_{B} - 80}{3} + \frac{V_{B} - V_{C}}{2} = 45 i_{B} \frac{V_{B} - 80}{3} + \frac{V_{B} - V_{C}}{2} = 45 \times \frac{V_{C}}{25} \frac{V_{B} - 80}{3} + \frac{V_{B} - V_{C}}{2} = 1.8 V_{C} 0.833 V_{B} - 2.30 V_{C} = 26.66 (2)$

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