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Question

# If in a series L-C-R ac circuit, the voltages across L, C and R are V1,V2 and V3 respectively, then the voltage of the source is always

A
equal to V1+V2+V3
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B
equal to V1V2+V3
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C
more than V1+V2+V3
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D
none of the above is true
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Solution

## The correct option is D none of the above is trueThe voltages across different elements in AC circuit add vectorially.The voltages across inductor and capacitor are out of phase and at 90∘ to that across resistor.Hence net voltage across source =√(V1−V2)2+V23.

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