Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2004

  • question_answer
    An alternating emf is applied to purely capacitive circuit. The phase relation between emf and current flowing in the circuit is

    A)  emf is ahead of current by \[\text{ }\!\!\pi\!\!\text{ /2}\]

    B)  current is ahead of emf by\[\text{ }\!\!\pi\!\!\text{ /2}\]

    C)  current lags behind emf by\[\text{ }\!\!\pi\!\!\text{ }\]

    D)  current is ahead of emf by \[\text{ }\!\!\pi\!\!\text{ }\]

    Correct Answer: B

    Solution :

    For a pure capacitance circuit current equation is \[I=\omega C{{V}_{0}}\,\,\sin \,\,(\omega t+\pi /2)\] Comparing with \[I={{I}_{0}}\,\sin (\omega t+\phi ),\]we get                                 \[\phi =\frac{\pi }{2}\] It means that current is ahead of emf by \[\frac{\pi }{2}\] rad.


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