A 300 N resistor R and a 200 µF capacitor are connected in series across an ac power supply which has a voliage Vin and oscillates at an angular frequency w. R a) Determine that the ratio of the output voltage, Voutput, across the capacitor to the input voltage Vinput from the source as a function of the angular frequency o. b) What value does this ratio approach as the frequency tends to zero? i) ii) as the frequency tends to infinity? Voutput c) Plot a graph of the as a function of the angular frequency w. Vinput d) At what frequency, f, is the ratio equal to 0.5 when R = 300 N and C = 200 µF? Solution

A 300 N resistor R and a 200 µF capacitor are connected in series across an ac power supply which has a voliage Vin and oscillates at an angular frequency w. R a) Determine that the ratio of the output voltage, Voutput, across the capacitor to the input voltage Vinput from the source as a function of the angular frequency o. b) What value does this ratio approach as the frequency tends to zero? i) ii) as the frequency tends to infinity? Voutput c) Plot a graph of the as a function of the angular frequency w. Vinput d) At what frequency, f, is the ratio equal to 0.5 when R = 300 N and C = 200 µF? Solution

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter12: Power System Controls

Section: Chapter Questions

Problem 12.16P

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