JEE Main & Advanced Physics Electro Magnetic Induction JEE PYQ-Electro Magnetic Induction

  • question_answer
    A sinusoidal voltage V(t) = 100 sin (500t) is applied across a pure inductance of L = 0.02 H. The current through the coil is:                                                    [JEE ONLINE 12-04-2014]

    A) 10 cos (500 t)

    B) - 10 cos (500t)

    C) 10 sin (500t)

    D) - 10 sin (500t)

    Correct Answer: B

    Solution :

    [b] In a pure inductive circuit current always lags behind the emf by\[\frac{\pi }{2}.\]
    If \[v\left( t \right)={{v}_{0}}\sin \omega t\]then \[I={{I}_{0}}\sin \left( \omega t-\frac{\pi }{2} \right)\]
    Now, given v(t) = 100 sin (500 t)
    and \[{{I}_{0}}=\frac{{{E}_{0}}}{\omega L}=\frac{10}{500\times 0.02}[\because L=0.02H]\]
    \[{{I}_{0}}=10\sin \left( 500t-\frac{\pi }{2} \right)\]\[{{I}_{0}}=-10\cos \left( 500t \right)\]


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