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In the circuit shown in Figure P6.6, where C = 0.5 µF and R= 2 k2, a. Determine how the input impedance V, Ja) Z jw) = LU) 2 behaves at extremely high and low 1,Jw) frequencies. b. Find an expression for the impedance. c. Show that this expression can be manipulated into the form Z( jo) = R[1+jkc]• aRC d. Determine the frequency @ = wc for which the imaginary part of the expression in part c is equal to 1. e. Estimate (without computing it) the magnitude and phase angle of Z(j@) at w = 10 rad/s and w = 10° rad/s. I;(j@) V;(j@) ER

In the circuit shown in Figure P6.6, where C = 0.5 µF and R= 2 k2, a. Determine how the input impedance V, Ja) Z jw) = LU) 2 behaves at extremely high and low 1,Jw) frequencies. b. Find an expression for the impedance. c. Show that this expression can be manipulated into the form Z( jo) = R[1+jkc]• aRC d. Determine the frequency @ = wc for which the imaginary part of the expression in part c is equal to 1. e. Estimate (without computing it) the magnitude and phase angle of Z(j@) at w = 10 rad/s and w = 10° rad/s. I;(j@) V;(j@) ER

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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In the circuit shown in Figure P6.6, where C = 0.5 µF and R= 2 k2, a. Determine how the input impedance V, Ja) Z jw) = LU) 2 behaves at extremely high and low 1,Jw) frequencies. b. Find an expression for the impedance. c. Show that this expression can be manipulated into the form Z( jo) = R[1+jkc]• aRC d. Determine the frequency @ = wc for which the imaginary part of the expression in part c is equal to 1. e. Estimate (without computing it) the magnitude and phase angle of Z(j@) at w = 10 rad/s and w = 10° rad/s. I;(j@) V;(j@) ER
Transcribed Image Text:In the circuit shown in Figure P6.6, where C = 0.5 µF and R= 2 k2, a. Determine how the input impedance V, Ja) Z jw) = LU) 2 behaves at extremely high and low 1,Jw) frequencies. b. Find an expression for the impedance. c. Show that this expression can be manipulated into the form Z( jo) = R[1+jkc]• aRC d. Determine the frequency @ = wc for which the imaginary part of the expression in part c is equal to 1. e. Estimate (without computing it) the magnitude and phase angle of Z(j@) at w = 10 rad/s and w = 10° rad/s. I;(j@) V;(j@) ER
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