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  • An electromagnetic wave travels along z-axis. which of the following pair of space and time raring fields would generate such a wave?Option: 1 <img a

An electromagnetic wave travels along z-axis. which of the following pair of space and time raring fields would generate such a wave?

Option: 1

E_x, E_y


Option: 2

E_y, B_x


Option: 3

E_z, B_x


Option: 4

E_y, B_z


Answers (1)

best_answer

Since

\mathrm{\vec{\nabla} \times \vec{E}=-\frac{\partial \vec{B}}{\partial t} \quad \nabla \rightarrow i \hat{k}}
\mathrm{i \hat{k} \times \vec{E}=-\frac{\partial \vec{B}}{\partial t} }

As direction of propagation is along z-axes, E must be in \mathrm{\hat{y} } direction so that
\mathrm{ \hat{z} \times \hat{y}=-\hat{x} }
\mathrm{ or \quad i \, \hat{k} \hat{z} \times \vec{E} y \hat{y}=-\frac{2 \vec{B}}{\partial t} \times \hat{x} \Rightarrow \quad E_y \, \, and\, \, \, \, B_x \, Ans. }

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Sayak

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