If in a series L-C-R ac circuit, the voltages across L, C and R are $V_{1}, V_{2}$ and $V_{3}$ respectively, then the voltage of the source is always

equal to

V_{1} + V_{2} + V_{3}

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equal to

V_{1} - V_{2} + V_{3}

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more than

V_{1} + V_{2} + V_{3}

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none of the above is true

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Solution

The correct option is D none of the above is true
The voltages across different elements in AC circuit add vectorially.
The voltages across inductor and capacitor are out of phase and at $90^{\circ}$ to that across resistor.
Hence net voltage across source $= \sqrt{(V_{1} - V_{2})^{2} + V_{3}^{2}}$ .

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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

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