First slide

Electromagnetic waves and its nature

Question

The magnetic field of a plane electromagnetic wave is $\vec{B} = 3 \times 10^{- 8} \sin [200 π (y + c t)] \hat{i} T$ where $c = 3 \times 10^{8} m s^{- 1}$ is the speed of light. The corresponding electric field is :

Moderate

A

$\vec{E} = - 9 \sin [200 π (y + c t)] \hat{k} V / m$
B

$\vec{E} = 3 \times 10^{- 8} \sin [200 π (y + c t)] \hat{k} V / m$
C

$\vec{E} = 10^{- 6} \sin [200 π (y + c t)] \hat{k} V / m$
D

$\vec{E} = 9 \sin [200 π (y + c t)] \hat{k} V / m$

Solution

$\begin{array}{l} E_{0} = B_{0} C \\ \Rightarrow E_{0} = 3 \times 10^{- 8} \times 3 \times 10^{8} = 9 V / m \\ \hat{E} = \hat{B} \times \hat{C} \\ \Rightarrow \hat{E} = \hat{i} \times (- \hat{j}) = - \hat{k} \end{array}$

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