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Question

A voltage of peak value 283 V with varying frequency is applied to a series LCR combination in which R=3 Ω,L=25 mH and C=400 μF. Then, the frequency (in Hz) of the source at which maximum power is dissipated in the above circuit is

A
71.5
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B
70.7
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C
41.1
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D
50.3
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Solution

The correct option is D 50.3
Given
V0=283 V
R=3 Ω
L=25×103 H C=400×106 F
For maximum power:
XL=XC
ωC=1ωLω2=1LC
ω=1LC
Frequency f=ω2π=12πLC
=12×3.14×125×103×400×106=50.3 Hz

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