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Consider the circuit in Figure 5.1 in sinusoidal steady state. R1 L R2 Figure 5-1 V.(jw) V, (ju) (a) Derive the complex representation of the transfer function (use "w" for w and "R1", "R2" for R1 and R2): V.(ju) V.(ju) R2/((R1+R2)+ (R1*R2*L)) (b) Let v, (t) = A sin (wt), assume that the output voltage v, (t) = Bsin (wt + ¢), where o € (0, ), derive the expressions for B and o (in radian): B= A*R2/(sqrt(R1+R2)^2+(w*L*R1*R2)^2)) $(in radian) = +

Consider the circuit in Figure 5.1 in sinusoidal steady state. R1 L R2 Figure 5-1 V.(jw) V, (ju) (a) Derive the complex representation of the transfer function (use "w" for w and "R1", "R2" for R1 and R2): V.(ju) V.(ju) R2/((R1+R2)+ (R1*R2*L)) (b) Let v, (t) = A sin (wt), assume that the output voltage v, (t) = Bsin (wt + ¢), where o € (0, ), derive the expressions for B and o (in radian): B= A*R2/(sqrt(R1+R2)^2+(w*L*R1*R2)^2)) $(in radian) = +

Introductory Circuit Analysis (13th Edition)
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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Consider the circuit in Figure 5.1 in sinusoidal steady state. R1 LE R2 vo Figure 5-1 V. (jw) (a) Derive the complex representation of the transfer function (use "w" for w and V,(ju) "R1", "R2" for R1 and R2): V.(ju) V,(ju) R2/((R1+R2)+ (R1*R2*L)) (b) Let v, (t) = A sin (wt), assume that the output voltage v. (t) = Bsin (wt + ø), where o € (0, , derive the expressions for B and o (in radian): B : A*R2/(sqrt((R1+R2)^2+(w*L*R1*R2)^2)) $(in radian) +
Transcribed Image Text:Consider the circuit in Figure 5.1 in sinusoidal steady state. R1 LE R2 vo Figure 5-1 V. (jw) (a) Derive the complex representation of the transfer function (use "w" for w and V,(ju) "R1", "R2" for R1 and R2): V.(ju) V,(ju) R2/((R1+R2)+ (R1*R2*L)) (b) Let v, (t) = A sin (wt), assume that the output voltage v. (t) = Bsin (wt + ø), where o € (0, , derive the expressions for B and o (in radian): B : A*R2/(sqrt((R1+R2)^2+(w*L*R1*R2)^2)) $(in radian) +
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