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Question

# A voltage of peak value 283 V and 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
52.5
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B
50.3
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C
53.1
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D
56.7
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Solution

## The correct option is B 50.3Given: V0=283 V, R=3 Ω, L=25×10−3 H C=400 μF=4×10−4 F Maximum power is dissipated at resonance, at which ω=1√LC ⇒2πf=1√LC ⇒f=12π√LC=1×72×22√25×10−3×4×10−4 =7×10344√10=50.3 Hz Hence, option (D) is correct.

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