A plane electromagnetic wave of frequency 25 G H z is propagating in vacuum along the z-direction. At a particular point in space and time, the magnetic filed is given by B → = 5 × 10 - 8 j ^ T . The

Question

A plane electromagnetic wave of frequency 25 G H z is propagating in vacuum along the z-direction. At a particular point in space and time, the magnetic filed is given by B → = 5 × 10 - 8 j ^ T . The corresponding electric field E → is (speed of light = 3 × 10 8 m s - 1 )

TestHub · Accepted Answer

Given, the electromagnetic wave is propagating in $z$ i.e., $+ \hat{k}$ direction.

The relation between the magnitudes of electric field, magnetic field and the speed of light is given by

$\frac{|E|}{|B|} = C$

$\Rightarrow |E| = |B| \times C$
$\Rightarrow |E| = 5 \times 10^{- 8} \times 3 \times 10^{8} = 15 V m^{- 1}$

We know that the direction of propagation of electromagnetic wave is along $\vec{E} \times \vec{B}$ .

So, $\vec{E} = 15 \hat{i} V m^{- 1}$

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