A 250 Ω resistor is connected in series with a 4.80 μF capacitor and an ac source. The voltage across the capacitor is v_c = (7.60 V) sin[(120 rad/s)t]. (a) Determine the capacitive reactance of the capacitor. (b) Derive an expression for the voltage _vR across the resistor

A 250 Ω resistor is connected in series with a 4.80 μF capacitor and an ac source. The voltage across the capacitor is v_c = (7.60 V) sin[(120 rad/s)t]. (a) Determine the capacitive reactance of the capacitor. (b) Derive an expression for the voltage _vR across the resistor

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter33: Inductors And Ac Circuits

Section: Chapter Questions

Problem 75PQ

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Question

A 250 Ω resistor is connected in series with a 4.80 μF capacitor and an ac source.
The voltage across the capacitor is v_c = (7.60 V) sin[(120 rad/s)t].

(a) Determine the capacitive reactance of the capacitor.

(b) Derive an expression for the voltage _vR across the resistor.

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