The electric and the magnetic field,associate | vedclass

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Question

(A) The direction of propagation of an electromagnetic wave is given by the direction of the vector $\vec{E} 	imes \vec{B}$.Given that the wave propa

Vedclass · Accepted Answer

$\vec E = {E_0}\hat i, \vec B = {B_0}\hat j$

Vedclass · Answer

(A) The direction of propagation of an electromagnetic wave is given by the direction of the vector $\vec{E} 	imes \vec{B}$.Given that the wave propagates along the $+z-$ axis,we must have $\vec{E} 	imes \vec{B} = \hat{k}$.Since the electric field $\vec{E}$ and magnetic field $\vec{B}$ must be perpendicular to each other and to the direction of propagation,they must lie in the $xy-$ plane.Checking the options:For option $A$: $\vec{E} = E_0 \hat{i}$ and $\vec{B} = B_0 \hat{j}$.Then $\vec{E} 	imes \vec{B} = (E_0 \hat{i}) 	imes (B_0 \hat{j}) = E_0 B_0 (\hat{i} 	imes \hat{j}) = E_0 B_0 \hat{k}$.This matches the direction of propagation $+z$.Therefore,option $A$ is correct.

The electric and the magnetic field,associated with an $e.m.$ wave,propagating along the $+z-$ axis,can be represented by

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