Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Question
Given the circuit below, find the output voltage vout measured across the resistor.
You are told that vs = 20 cos (10t + 40°), and you may assume that C = 32 µF and R
= 1,960 92.
Vs
+1
C
Vout
Once you have found the output voltage, enter the magnitude of the output voltage
(in volts) below, to 3 significant figures.
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Transcribed Image Text:Given the circuit below, find the output voltage vout measured across the resistor. You are told that vs = 20 cos (10t + 40°), and you may assume that C = 32 µF and R = 1,960 92. Vs +1 C Vout Once you have found the output voltage, enter the magnitude of the output voltage (in volts) below, to 3 significant figures.
Expert Solution
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Step 1: Question analysis:

Given the circuit below find the output voltage:

straight V subscript straight s equals 20 cos open parentheses 10 straight t plus 40 degree close parentheses volt equals 20 angle 40 degree space volt
straight omega equals 10 space rad divided by sec
straight R equals 1960 straight capital omega equals 1.96 straight k straight capital omega
Capcitive space impedance colon space straight Z subscript straight C equals negative fraction numerator straight j over denominator straight omega straight C end fraction equals negative fraction numerator straight j over denominator 10 cross times 32 cross times 10 to the power of negative 6 end exponent end fraction straight capital omega equals negative straight j 15625 straight capital omega equals negative straight j 15.625 straight k straight capital omega

Electrical Engineering homework question answer, step 1, image 1

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