A plane electromagnetic wave of frequency 500 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The relationship between the electric field $\overrightarrow{E}$ and the magnetic field $\overrightarrow{B}$ in an electromagnetic wave is given b

Vedclass · Accepted Answer

$-24 \hat{x}\, V/m$

Vedclass · Answer

(A) The relationship between the electric field $\overrightarrow{E}$ and the magnetic field $\overrightarrow{B}$ in an electromagnetic wave is given by $\overrightarrow{E} = c(\overrightarrow{B} 	imes \hat{n})$,where $\hat{n}$ is the direction of propagation.Given,the wave travels along the $y$-direction,so $\hat{n} = \hat{y}$.The magnetic field is $\overrightarrow{B} = 8.0 	imes 10^{-8} \hat{z}\, T$.Substituting the values:$\overrightarrow{E} = (3 	imes 10^{8}\, m/s) 	imes (8.0 	imes 10^{-8} \hat{z} 	imes \hat{y})$Since $\hat{z} 	imes \hat{y} = -\hat{x}$,we get:$\overrightarrow{E} = (3 	imes 8.0) 	imes (-\hat{x}) = -24 \hat{x}\, V/m$.

Similar Questions

$A$ plane electromagnetic wave travels in free space along the $x$-direction. The electric field component of the wave at a particular point of space and time is $E = 6 \; Vm^{-1}$ along the $y$-direction. Its corresponding magnetic field component, $B$, would be:

An electromagnetic wave of intensity $50 \ W m^{-2}$ enters a medium of refractive index $n$ without any loss. The ratio of the magnitudes of electric fields and the ratio of the magnitudes of magnetic fields of the wave before and after entering the medium are respectively given by:

An electromagnetic wave propagating through a vacuum is described by $E = E_0 \sin(kx - \omega t)$ and $B = B_0 \sin(kx - \omega t)$. Which of the following equations is true?

If $\overrightarrow E$ and $\overrightarrow B$ are the electric and magnetic field vectors of electromagnetic waves,then the direction of propagation of the electromagnetic wave is along the direction of:

To heat the food containing water,the frequency of the microwaves used in a microwave oven is

Vedclass Test Series

Exam Paper Generator

Online Exam Module