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Question

An electric lamp designed for operation on 110 V C is connected to a 220 V AC supply, through a choke coil of inductance 2H, for proper operation. The angular frequency of the AC is 10010rad/s . If a capacitor is to be used in the place of the choke coil, its capacitance must be

A
1μF
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B
2μF
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C
5μF
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D
10μF
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Solution

The correct option is C 5μF
V=V2R+V2L=V2R+V2C;VL=VC
Lw=1wc;C=1Lw2
C=12×104×10=0.5×105
C=5μF

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