A plane electromagnetic wave of frequency 28 | vedclass

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

Question

(A) The relationship between the electric field $E$ and the magnetic field $B$ in an electromagnetic wave is given by $E = cB$, where $c$ is the speed

Vedclass · Accepted Answer

$3.1 	imes 10^{-8} \, T$ along the positive $z$-direction

Vedclass · Answer

(A) The relationship between the electric field $E$ and the magnetic field $B$ in an electromagnetic wave is given by $E = cB$, where $c$ is the speed of light in free space $(c \approx 3 	imes 10^8 \, m/s)$.Given:$E = 9.3 \, V/m$ along the positive $y$-direction $(+\hat{j})$.Direction of propagation is along the positive $x$-direction $(+\hat{i})$.Using the relation $B = \frac{E}{c}$:$B = \frac{9.3}{3 	imes 10^8} = 3.1 	imes 10^{-8} \, T$.The direction of the magnetic field is determined by the cross product of the direction of propagation and the electric field. Since the wave propagates in the $x$-direction $(\hat{i})$ and the electric field is in the $y$-direction $(\hat{j})$, the magnetic field must be in the direction of $\hat{i} 	imes \hat{j} = \hat{k}$, which is the positive $z$-direction.Therefore, the magnetic field is $3.1 	imes 10^{-8} \, T$ along the positive $z$-direction.

$A$ plane electromagnetic wave of frequency $28 \, MHz$ travels in free space along the positive $x$-direction. At a particular point in space and time, the electric field is $9.3 \, V/m$ along the positive $y$-direction. The magnetic field (in $T$) at that point is:

Similar Questions

The velocity of electromagnetic radiation in a medium of permittivity $\varepsilon_0$ and permeability $\mu_0$ is given by:

The electric field for a plane electromagnetic wave travelling in the $+y$ direction is shown in the figure. Consider a point where the electric field is in the $+z$ direction. The magnetic field $\vec B$ is

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:

The frequency of an electromagnetic wave is $25 \ MHz$. If the magnitude of the electric field at a point at any instant is $6.3 \ V/m$,then the magnitude of the magnetic field at that point is ..... $Wb/m^2$.

The radiation energy emitted per second by a point source is $100 \,W$. If the efficiency of the source is $4 \%$, then the rms value of the electric field at a distance of $2 \,m$ is [use $\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9$ in $SI$ units].

Vedclass Test Series

Exam Paper Generator

Online Exam Module