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Question

A series LCR circuit driven by 300 V at a frequency of 50 Hz contains a resistance R=3 kΩ, an inductor of inductive reactance XL=250π Ω and an unknown capacitor. The value of capacitance, to maximize the average power, should be:Take (π210)

A
400 μF
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B
25 μF
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C
4 μF
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D
40 μF
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Solution

The correct option is C 4 μF
ω=2πf=100π rad/s

For maximizing average power, Z=R XL=XC

ωL=1ωC

250π=1100πC

C=125×π2×103=103250=4×106 F=4 μF

Hence, option (D) is the correct answer.

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