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Question

A LCR series combination is connected to an AC source. If voltage across the inductor, capacitor, resistor are 40 V, 80 V and 40 V respectively. Then the source voltage of the AC source is

A
402 V
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B
80 V
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C
802 V
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D
1002 V
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Solution

The correct option is A 402 V
VR=40 V; VC=80 V; VL=40 V

We know that, Vrms=(VR)2+[VCVL]2

Substituting the data given in the question,

Vrms=402+[8040]2=402+402=402 V.

Hence, option (a) is the correct answer.

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