Em Waves Question 115

Question: The electric field component of a monochromatic radiation is given by $ \vec{E}=2E _{0}\hat{i}\cos kz,\cos \omega t $ Its magnetic field B is then given by:

Options:

A) $ \frac{2E _{o}}{c}\hat{j},\sin ,kz,\cos ,\omega t $

B) $ -\frac{2E _{o}}{c}\hat{j},\sin ,kz,\sin ,\omega t $

C) $ \frac{2E _{o}}{c}\hat{j},\sin ,kz,\sin ,\omega t $

D) $ \frac{2E _{o}}{c}\hat{j},\cos ,kz,\cos ,\omega t $

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Answer:

Correct Answer: C

Solution:

[c] Magnetic field vector, $ \vec{B}=\frac{2E _{0}}{c}\hat{j}\sin kz\sin \omega t $