JEE Main On 8 April 2017 Question 15

Question: 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]

Options:

A) $ \vec{E}=-B _0c\sin (kx+\omega t)\hat{k}V/m $

B) $ \vec{E}=B _0c\sin (kx-\omega t)\hat{k}V/m $

C) $ \vec{E}=B _0c\sin (kx+\omega t)\hat{k}V/m $

D) $ \vec{E}=\frac{B _0}{c}\sin ,(kx+\omega t)\hat{k}V/m $

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Answer:

Correct Answer: C

Solution:

  • $ C=\frac{E _0}{B _0} $ $ E=cB _0 $ $ =cB _0 $ $ =cB _0\sin (kx+\omega t)\hat{k} $