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# Question and Answer

## QuestionPhysicsClass 12

The magnetic field in a plane electromagnetic wave is given by  $$B=(2\times 10^{\text{--}7}T\sin (0.5\times 10^3x+1.5\times 10^{11}t)$$ .Write an expression for the electric field.

$$E_z=60\sin (0.5\times 10^3x+1.5\times 10^{11}t)V/m$$
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## Solution

Given:
$$B=(2\times 10^{\text{--}7}T\sin (0.5\times 10^3x+1.5\times 10^{11}t)$$
$$B_0=2\times 10^{-7}\;T$$
$$c=3\times 10^8\;m/s$$
$$E_0=B_Oc=2\times 10^{-7}\times 3\times 10^8=6\times 10^1V/m$$
The electric field component is perpendicular to the direction of propoagation and the direction of magnetic field. Therefore, the electric field component along the $$z-$$axis is obtained as
$$E_z=60\sin (0.5\times 10^3x+1.5\times 10^{11}t)V/m$$