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Question

Voltage and current in an AC circuit are given by $$V = 10\sin \left (50\pi t - \dfrac {\pi}{6}\right )$$ and $$i = 2\sin \left (50 \pi t + \dfrac {\pi}{4}\right )$$.

A

Voltage leads the current by $$45^{\circ}$$

B

Current leads the voltage by $$75^{\circ}$$

C

Current leads the voltage by $$30^{\circ}$$

D

Voltage lags the current by $$45^{\circ}$$

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Solution

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Correct option is C. Current leads the voltage by $$75^{\circ}$$

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Q1

Voltage and current in an AC circuit are given by $$V = 10\sin \left (50\pi t - \dfrac {\pi}{6}\right )$$ and $$i = 2\sin \left (50 \pi t + \dfrac {\pi}{4}\right )$$.

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