The magnetic field of a plane electromagnetic | vedclass

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

Question

(D) Given the magnetic field $\overrightarrow{B} = B_0 \cos(kx + \omega t) \hat{j}$,where $B_0 = 3 	imes 10^{-8} 	ext{ T}$.The relationship between

Vedclass · Accepted Answer

$9 \cos (1.6 	imes 10^3 x + 48 	imes 10^{10} t) \hat{k} 	ext{ V/m}$

Vedclass · Answer

(D) Given the magnetic field $\overrightarrow{B} = B_0 \cos(kx + \omega t) \hat{j}$,where $B_0 = 3 	imes 10^{-8} 	ext{ T}$.The relationship between the amplitude of the electric field $(E_0)$ and the magnetic field $(B_0)$ is $E_0 = c B_0$,where $c = 3 	imes 10^8 	ext{ m/s}$.$E_0 = (3 	imes 10^8 	ext{ m/s}) 	imes (3 	imes 10^{-8} 	ext{ T}) = 9 	ext{ V/m}$.The wave propagates in the negative $x$-direction (since the argument is $kx + \omega t$).The direction of propagation is given by the direction of $\overrightarrow{E} 	imes \overrightarrow{B}$.Since $\overrightarrow{B}$ is along $\hat{j}$ and the wave travels along $-\hat{i}$,we have $\hat{k} 	imes \hat{j} = -\hat{i}$.Thus,the electric field must be along the $\hat{k}$ direction.Therefore,$\overrightarrow{E} = 9 \cos (1.6 	imes 10^3 x + 48 	imes 10^{10} t) \hat{k} 	ext{ V/m}$.

The magnetic field of a plane electromagnetic wave is given by $\overrightarrow{B} = 3 \times 10^{-8} \cos (1.6 \times 10^3 x + 48 \times 10^{10} t) \hat{j} \text{ T}$. The associated electric field is:

Similar Questions

When $\mu_r$ and $\epsilon_r$ are the relative permeability and relative permittivity (dielectric constant) respectively,the refractive index is given by:

The sun delivers $10^{3} \,W m^{-2}$ of electromagnetic flux on the Earth's surface. The total power that is incident on a roof of dimensions $6 \,m \times 30 \,m$ is . . . . . . .

The condition under which a microwave oven heats up a food item containing water molecules most efficiently is

If the relative permeability and dielectric constant of a medium are $\mu_r$ and $K$ respectively,then the refractive index $n$ of the medium is:

Give the relation between vacuum permittivity $(\epsilon_{0})$, vacuum permeability $(\mu_{0})$, and the speed of light $(c)$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module