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

  • [JEE MAIN 2017]
  • 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

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

Similar Questions

A $27\, mW$ lager beam has a cross -sectional area of $10\, mm^2$. The magnitude of the maximum electric field in this electromagnetic wave is given by:........$kV/m$ [Given permittivity of space ${ \in _0} = 9 \times {10^{ - 12}}\, SI\, units$, speed of light $c = 3 \times 10^8\, m/s$]

  • [JEE MAIN 2019]

Which of the following statement is false for the properties of electromagnetic waves ?
 

The electric field of plane electromagnetic wave of amplitude $2\,V/m$ varies with time, propagating along $z-$ axis. The average energy density of magnetic field (in $J/m^3$ ) is

If the magnetic field in a plane electromagnetic wave is given by

$\overrightarrow{\mathrm{B}}=3 \times 10^{-8} \sin \left(1.6 \times 10^{3} \mathrm{x}+48 \times 10^{10} \mathrm{t}\right) \hat{\mathrm{j}}\; \mathrm{T}$

then what will be expression for electric field?

  • [JEE MAIN 2020]

Light with an energy flux of $25 \times {10^4}$ $W/m^2$  falls on a perfectly reflecting surface at normal incidence. If the surface area is  $15\,\, cm^2$ the average force exerted on the surface is

  • [AIPMT 2014]