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Question

A box P and a coil Q are connected in series with an 10 VAC source of variable frequency. Box P contains a capacitance of 1 μF in series with a resistance of 32 Ω. Coil Q has a self inductance of 4.9 mH and a resistance of 68 Ω in series. The frequency is adjusted so that maximum current flows in P and Q.


(iv) The voltage across coil Q is

​​​​​​​[1 Mark]

A
20 V
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B
135010 V
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C
5.5 V
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D
952410 V
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Solution

The correct option is D 952410 V
Current through the circuit, I=VZ
At resonance,
Z=RI=VR=10(32+68)=0.1 A

Voltage across Q,
VQ=IZQ=0.1×9524
VQ=952410 V
option (d) is correct.

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