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An AC generator with an output rms voltage of 24 V at a frequency of 50 Hzis con

ID: 1745791 • Letter: A

Question

An AC generator with an output rms voltage of 24 V at a frequency of 50 Hzis connected across a 10 µFcapacitor. Find the following. (a) capacitive reactance
1

(b) rms current
2 A

(c) maximum current in the circuit
3 A

(d) When does the capacitor have its maximum charge?
4 1/3cycle before the voltage reaches its maximum value
1/2cycle before the voltage reaches its maximum value
1/4cycle before the voltage reaches its maximum value
thecapacitor's charge is uniform
when thecurrent takes its maximum value
(a) capacitive reactance
1

(b) rms current
2 A

(c) maximum current in the circuit
3 A

(d) When does the capacitor have its maximum charge?
4 1/3cycle before the voltage reaches its maximum value
1/2cycle before the voltage reaches its maximum value
1/4cycle before the voltage reaches its maximum value
thecapacitor's charge is uniform
when thecurrent takes its maximum value
4 1/3cycle before the voltage reaches its maximum value
1/2cycle before the voltage reaches its maximum value
1/4cycle before the voltage reaches its maximum value
thecapacitor's charge is uniform
when thecurrent takes its maximum value
4 1/3cycle before the voltage reaches its maximum value
1/2cycle before the voltage reaches its maximum value
1/4cycle before the voltage reaches its maximum value
thecapacitor's charge is uniform
when thecurrent takes its maximum value
4

Explanation / Answer

a) The capacitive reactance is             Xc =1/(2f C) b) The rms current is           Irms =Vrms/ Xc c) The maximum current in the circuit is              Imax =2 Irms substitute the values.
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