Question 38: EM waves

Question

A plane electromagnetic wave propagates along the + x direction in free space. The components of the electric field, $\vec{E}$ and magnetic field, $\vec{B}$ vectors associated with the wave in Cartesian frame are

Accepted Answer

We know, for a plane electromagnetic wave,
$$\widehat E 	imes \widehat B = \widehat C$$
Given, $$\widehat C = \widehat i$$ (+ x direction)
So, $$\widehat E 	imes \widehat B = \widehat i$$
i.e. $$\widehat j 	imes \widehat k = \widehat i$$
So, $$\overrightarrow E  = {E_y}$$
$$\overrightarrow B  = {B_2}$$
As, $$\widehat i,\,\widehat j$$ and $$\widehat k$$ are unit vectors in the directions of x, y and z axes respectively.
Hence, option 3 is correct.

Answer

$E_x, B_y$

Answer

$E_y, B_x$

Answer

$E_y, B_z$

Answer

$E_z, B_y$

EM waves

A plane electromagnetic wave propagates along the + x direction in free space. The components of the electric field, \vec{E} and magnetic field, \vec{B} vectors associated with the wave in Cartesian frame are

Choose the correct answer: