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Vs VL C1 HH 47µF V1 L1 R1 27mH 100 T1 120Vrms 60HZ 0° R2 400 1:4

Vs VL C1 HH 47µF V1 L1 R1 27mH 100 T1 120Vrms 60HZ 0° R2 400 1:4

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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I need help finding the Phasor Voltage Values of Vs, V1, and VL for this step up transformer.

Vs Č1 V1 L1 VL R1 27mH 100 47μ T1 R2 400 120Vrms 60HZ 0° 1:4
Transcribed Image Text:Vs Č1 V1 L1 VL R1 27mH 100 47μ T1 R2 400 120Vrms 60HZ 0° 1:4
Expert Solution
Step 1

given:

k=4 , Vi=169.71Sin(ωt) =169.71∠0°

The primary winding current =I1

I1=VsZ1=169.71∠0°10-354.6jI1=0.478∠88.38°

Now to find voltage at V' is node voltage between the resistor and capacitor at the primary side

The voltage across resister R1 is given by

V10Ω=10x0.478∠88.38°=4.78∠88.38°

the above value implies Vs-V'=V10Ω

The voltage V'

V'=Vs-V10Ω=169.7∠0°-4.78∠88.38°V'=168.93∠-1.62°

 

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