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JEE Main & Advanced Sample Paper JEE Main Sample Paper-3

  • question_answer
    The instantaneous values of current and voltage in an A.C. circuit are \[I=4\sin \,\,\omega t\]and \[E=100\cos \,\left( \omega t+\frac{\pi }{3} \right)\]respectively. The phase difference between voltage and current is

    A)  \[\frac{\pi }{3}\]                             

    B)  \[\frac{2\pi }{3}\]

    C)  \[\frac{5\pi }{6}\]                           

    D)  \[\frac{7\pi }{6}\]

    Correct Answer: C

    Solution :

     \[I={{I}_{0}}\sin (\omega t+\phi );\]       \[E={{E}_{0}}\sin (\omega t+\phi );\] \[1=4\sin \omega t;\]     \[E=100\sin \left( \omega t+\frac{\pi }{2}+\frac{\pi }{3} \right)\] Phase diff. between I and \[E=\frac{\pi }{3}+\frac{\pi }{2}=\frac{5\pi }{6}\]


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