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Question

A sinusoidal voltage of peak value 300 V and an angular frequency ω=400rad/s is applied to series Ca circuit, in which R=3Ω,L=20mH and C=625μF. The peak current in the circuit is

A
302A
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B
60A
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C
100A
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D
602A
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Solution

The correct option is A 60A
The impedance of the circuit is
Z=R2+(XLXC)2
XL=ωL=400×20×103=8H
XC=1ωC=1400×625×106=4F
Z=(3)2+(84)2=5
The peak current in the circuit
i=EZ=3005=60A

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