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RLC Circuit

If the value ...

Question

If the value of virtual voltages across $L, C$ and $R$ in an $L - C - R$ circuit are $V_{L}, V_{C}$ and $V_{R}$ respectively then the source voltage will be

A

V = \sqrt{V_{R}^{2} + (V_{L} - V_{C})^{2}}

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B

V = V_{L} + V_{C} + V_{R}

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C

V = \sqrt{V_{R}^{2} + (V_{L}^{2} - V_{C}^{2})}

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D

V = V_{L} - V_{C} + V_{R}

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Solution

The correct option is B $V = \sqrt{V_{R}^{2} + (V_{L} - V_{C})^{2}}$
From the phasor diagram, phase of $V_{L}$ and $V_{C}$ are perpendicular to the phase of $V_{R}$ .

Hence, $V = \sqrt{V_{R}^{2} + {(V_{L} - V_{C})}^{2}}$

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