An AC generator is connected to a 21.0 Q resistor. The output voltage of the generator is given by the function Av = (140 V)sin[(40x rad/s)t]. (a) From the equation for the output voltage, what is the maximum voltage across the resistor (in V)? 140 (b) From the equation for the output voltage, what is the frequency of oscillation of the current through the resistor (in 20 Hz (c) What is the rms voltage across the resistor (in V)? 99.0 V (d) What is the rms current in the resistor (in A)? A (e) What is the maximum current in the resistor (in A)? A (f) What is the average power delivered to the resistor (in W)?

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 35PQ
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An AC generator is connected to a 21.0 0 resistor. The output voltage of the generator is given by the function
Av = (140 V)sin[(40z rad/s)t].
(a) From the equation for the output voltage, what is the maximum voltage across the resistor (in V)?
140
(b) From the equation for the output voltage, what is the frequency of oscillation of the current through the resistor (in Hz)?
20
Hz
(c) What is the rms voltage across the resistor (in V)?
99.0
V
(d) What is the rms current in the resistor (in A)?
(e) What is the maximum current in the resistor (in A)?
A
(f)
What is the average power delivered to the resistor (in W)?
W
(g) What is the current in the resistor (in A) at the time t = 0.0050 s?
A
Transcribed Image Text:An AC generator is connected to a 21.0 0 resistor. The output voltage of the generator is given by the function Av = (140 V)sin[(40z rad/s)t]. (a) From the equation for the output voltage, what is the maximum voltage across the resistor (in V)? 140 (b) From the equation for the output voltage, what is the frequency of oscillation of the current through the resistor (in Hz)? 20 Hz (c) What is the rms voltage across the resistor (in V)? 99.0 V (d) What is the rms current in the resistor (in A)? (e) What is the maximum current in the resistor (in A)? A (f) What is the average power delivered to the resistor (in W)? W (g) What is the current in the resistor (in A) at the time t = 0.0050 s? A
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