Electro Magnetic Induction And Alternating Currents Question 105

Question: Voltage and current in an ac circuit are given by $ V=5\sin ,( 100\pi t-\frac{\pi }{6} ) $ and $ I=4\sin ,( 100\pi t+\frac{\pi }{6} ) $ [Kerala PET 2001]

Options:

A) Voltage leads the current by $ 30^{o} $

B) Current leads the voltage by $ 30^{o} $

C) Current leads the voltage by $ 60^{o} $

D) Voltage leads the current by $ 60^{o} $

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Answer:

Correct Answer: C

Solution:

Phase difference $ \Delta \varphi ={\varphi_{2}}-{\varphi_{1}}=\frac{\pi }{6}-( \frac{-\pi }{6} )=\frac{\pi }{3} $



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