The equation that represents the magnetic fie | vedclass

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

Question

(B) The magnetic field of an electromagnetic wave is given by $B = B_0 \sin (\omega t - kx) \hat{k}$.Given $E_0 = 60 \,Vm^{-1}$ and $c = 3 	imes 10^8

Vedclass · Accepted Answer

$\left(2 	imes 10^{-7}ight) \sin [200 \pi(c t-x)] \hat{k} \,T$

Vedclass · Answer

(B) The magnetic field of an electromagnetic wave is given by $B = B_0 \sin (\omega t - kx) \hat{k}$.Given $E_0 = 60 \,Vm^{-1}$ and $c = 3 	imes 10^8 \,ms^{-1}$,the amplitude of the magnetic field is $B_0 = \frac{E_0}{c} = \frac{60}{3 	imes 10^8} = 2 	imes 10^{-7} \,T$.The wave propagates along the $x$-direction and the electric field is in the $y$-direction,so the magnetic field must be in the $z$-direction (unit vector $\hat{k}$).The wave number $k = \frac{2\pi}{\lambda}$. Given $\lambda = 10 \,mm = 10^{-2} \,m$,we have $k = \frac{2\pi}{10^{-2}} = 200\pi \,rad/m$.The general equation is $B = B_0 \sin [k(ct - x)] \hat{k}$.Substituting the values: $B = (2 	imes 10^{-7}) \sin [200\pi(ct - x)] \hat{k} \,T$.

The equation that represents the magnetic field of a plane electromagnetic wave which is propagating along the $x$-direction with a wavelength of $10 \,mm$ and a maximum electric field of $60 \,Vm^{-1}$ in the $y$-direction is (where,$c$ is the speed of light):

Similar Questions

For an electromagnetic wave propagating through vacuum, $\vec{k}$, $\vec{E}$, and $\omega$ represent the propagation vector, electric field, and angular frequency, respectively. The magnetic field associated with this wave is represented by:

If $c$ is the speed of electromagnetic waves in vacuum,its speed in a medium of dielectric constant $K$ and relative permeability $\mu_r$ is

The velocity of electromagnetic radiation in a medium of permittivity $\varepsilon_{0}$ and permeability $\mu_{0}$ is given by

Electromagnetic waves are incident normally on a perfectly reflecting surface having surface area $A$. If $I$ is the intensity of the incident electromagnetic radiation and $c$ is the speed of light in vacuum,the force exerted by the electromagnetic wave on the reflecting surface is

What do electromagnetic waves $NOT$ transport?

Vedclass Test Series

Exam Paper Generator

Online Exam Module