8.Electromagnetic waves
medium

Magnetic field in a plane electromagnetic wave is given by 

$\vec B = {B_0}\,\sin \,\left( {kx + \omega t} \right)\hat jT$

 Expression for corresponding electric field will be Where $c$ is speed of light

A

$\vec E = {B_0}\,c\sin \,\left( {kx + \omega t} \right)\hat k\,V/m$

B

$\vec E = \frac{{{B_0}}}{c}\,\sin \,\left( {kx + \omega t} \right)\hat k\,V/m$

C

$\vec E =  - {B_0}\,c\sin \,\left( {kx + \omega t} \right)\hat k\,V/m$

D

$\vec E = {B_0}\,c\sin \,\left( {kx - \omega t} \right)\hat k\,V/m$

(JEE MAIN-2017)

Solution

Speed of $EM$ wave in force space $\left( c \right) = \frac{{{E_0}}}{{{B_0}}}\,$

or $\vec E = c{B_0}{\mkern 1mu} \sin {\mkern 1mu} \left( {kx + \omega t} \right)\hat k$

Standard 12
Physics

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