First slide

Nature of electromagnetic wave

Question

An EM wave is propagating in a medium with a velocity $\vec{v} = v \hat{i}$ . The instantaneous oscillating electric field of this EM wave is along +y axis. Then the direction of oscillating magnetic field of the EM wave will be along

Moderate

A

-z direction
B

+z direction
C

-y direction
D

-x direction

Solution

Velocity of em wave in a medium is given by
$\vec{E} \times \vec{B} = \vec{v}$
$∴ (\hat{E}) \times (\vec{B}) = \hat{v} [∵ \vec{E} = E \hat{j} (Given)]$
$As \hat{i} = \hat{j} \times \hat{k}, So \vec{B} = B \hat{k}$
Direction of oscillating magnetic field of the em wave will be along +z direction.

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