JEE Main & Advanced JEE Main Paper (Held On 8 April 2017)

  • question_answer
    Magnetic field in a plane electromagnetic wave is given by\[\vec{B}={{B}_{0}}\sin (kx+\omega t)\hat{j}T\] Expression for corresponding electric field will be                    [JEE Online 08-04-2017]

    A) \[\vec{E}=-{{B}_{0}}c\sin (kx+\omega t)\hat{k}V/m\]

    B) \[\vec{E}={{B}_{0}}c\sin (kx-\omega t)\hat{k}V/m\]

    C) \[\vec{E}={{B}_{0}}c\sin (kx+\omega t)\hat{k}V/m\]

    D) \[\vec{E}=\frac{{{B}_{0}}}{c}\sin \,(kx+\omega t)\hat{k}V/m\]

    Correct Answer: C

    Solution :

    \[C=\frac{{{E}_{0}}}{{{B}_{0}}}\] \[E=C{{B}_{0}}\] \[=C{{B}_{0}}\] \[=C{{B}_{0}}\sin (kx+\omega t)\hat{i}\]


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