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Question

What is the peak voltage across capacitor at resonance frequency in the given circuit ?


A
100 V
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B
10 V
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C
5 V
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D
50 V
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Solution

The correct option is A 100 V
For resonance in a series LCR circuit, XL=XC

i.e ωL=1ωC
ω=1LC

and Impedance at resonance Z=R2+(XLXC)2=R

Peak current i0=V0Z=102=5 A

Therefore, peak voltage across capacitor =i0XC
=5×20=100 V

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