Question

The electric field component of a uniform plane electromagnetic wave propagating in the Y-direction in a lossless medium will satisfy the equation

Answer 1

Ans : (c & d)

In a uniform plane EM wave propagating in the y – direction, the components of 𝑬 and 𝑯 in the direction of propagation 𝑬𝒚, 𝑯𝒚 are zero. 𝑬 and 𝑯 should be function of y and t satisfying second order partial differential equation

$E_y=H_y=0$

$\frac{{\partial }^2{E}_x}{\partial y^2}=\mu ϵ\frac{{\partial }^2{E}_x}{\partial t^2}$

$\frac{E}{H}=\frac{\sqrt{E_x^2+E_z^2}}{\sqrt{H_x^2+H_z^2}}=\eta =\sqrt{\frac{\mu }{ϵ}}$