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Question

(A) In an electromagnetic wave,the electric field $\vec{E}$ and the magnetic field $\vec{B}$ are mutually perpendicular to each other and also perpend

Vedclass · Accepted Answer

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

Vedclass · Answer

(A) In an electromagnetic wave,the electric field $\vec{E}$ and the magnetic field $\vec{B}$ are mutually perpendicular to each other and also perpendicular to the direction of wave propagation.The direction of wave propagation is given by the direction of the cross product $(\vec{E} 	imes \vec{B})$.Given that the wave propagates along the $Z$-axis (direction $\hat{k}$),we must have $(\vec{E} 	imes \vec{B})$ in the direction of $\hat{k}$.Checking option $A$: $\hat{i} 	imes \hat{j} = \hat{k}$. This matches the direction of propagation.Therefore,the fields are represented by $\vec{E} = E_0 \hat{i}$ and $\vec{B} = B_0 \hat{j}$.

The electric and magnetic fields associated with an electromagnetic wave propagating along the $Z$-axis can be represented by:

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