A plane electromagnetic wave of frequency 100 | vedclass

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

Question

(C) The magnitude of the electric field $E$ is related to the magnetic field $B$ by the relation $E = B \cdot c$,where $c$ is the speed of light in va

Vedclass · Accepted Answer

$6.0 \hat{j} \, V/m$

Vedclass · Answer

(C) The magnitude of the electric field $E$ is related to the magnetic field $B$ by the relation $E = B \cdot c$,where $c$ is the speed of light in vacuum $(c = 3 	imes 10^8 \, m/s)$.Given $B = 2.0 	imes 10^{-8} \, T$,we have $E = (2.0 	imes 10^{-8} \, T) 	imes (3 	imes 10^8 \, m/s) = 6.0 \, V/m$.The direction of propagation of an electromagnetic wave is given by the direction of the vector $\overrightarrow{E} 	imes \overrightarrow{B}$.Here,the wave travels along the $x$-direction $(\hat{i})$,and $\overrightarrow{B}$ is along the $z$-direction $(\hat{k})$.Since $\hat{i} = \hat{j} 	imes \hat{k}$,the electric field $\overrightarrow{E}$ must be along the $y$-direction $(\hat{j})$.Therefore,$\overrightarrow{E} = 6.0 \hat{j} \, V/m$.

Similar Questions

Statement-$I$ :- During propagation of electromagnetic wave,$\vec{E}$,$\vec{B}$ and direction of propagation are perpendicular to each other.
Statement-$II$ :- During propagation of electromagnetic wave,the energy density due to electric and magnetic fields are equal.

An electromagnetic wave in vacuum has the electric and magnetic field $\vec{E}$ and $\vec{B}$,which are always perpendicular to each other. The direction of polarization is given by $\vec{X}$ and that of wave propagation by $\vec{k}$. Then:

The amplitude of the electric field associated with a light beam of intensity $\frac{15}{\pi} \text{ W m}^{-2}$ is (in $\text{ N C}^{-1}$)

The electric field and magnetic field associated with an electromagnetic $(e.m.)$ wave,propagating along the $-z$ axis,can be represented by:

Assertion : Radio waves can be polarised.
Reason : Sound waves in air are longitudinal in nature.

Vedclass Test Series

Exam Paper Generator

Online Exam Module