Isa- Find currents I1, 12, and I3b- Find the power factor of thenetwork, and indicate whetherit is leading or laggingXL1=1 0Xc=70E=60 V 20°R2= 30R1=20R3=16 0GND1XL2=15 0leee

Answered: Is a- Find currents I1, 12, and I3 b-…

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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Is
a- Find currents I1, 12, and I3
b- Find the power factor of the
network, and indicate whether
it is leading or lagging
XL1=1 0
Xc=70
E=60 V 20°
R2= 30
R1=20
R3=16 0
GND1
XL2=15 0
leee

Expert Solution

Step 1

It is given that:

Step 2

$The value of I_{1} can be calculated as : I_{1} = \frac{E}{R_{1} + j X_{L 1}} substituting the values, I_{1} = \frac{60}{2 + j 1} I_{1} = 26.82 ∠ - 26.56 ° A (Ans) The value of current I_{2} can be calculated as : I_{2} = \frac{E}{R_{2}} substituting the values, I_{2} = \frac{60}{3} I_{2} = 20 A (Ans) The value of I_{3} can be calculated as : I_{3} = \frac{E}{R_{3} + j (X_{L} - X_{c})} substituting the values, I_{3} = \frac{60}{16 + j (15 - 7)} I_{3} = 3.354 ∠ - 26.565 ° A (Ans)$

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