If E_{o} and B_{o} are the magnitudes of the | vedclass

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

Question

(C) The speed of an electromagnetic wave in vacuum is given by the relation between the magnitudes of the electric field $E_o$ and the magnetic field

Vedclass · Accepted Answer

$E_{o} \sqrt{\varepsilon_{o}}=\frac{B_{o}}{\sqrt{\mu_{o}}}$

Vedclass · Answer

(C) The speed of an electromagnetic wave in vacuum is given by the relation between the magnitudes of the electric field $E_o$ and the magnetic field $B_o$ as:$E_o = c B_o$,where $c$ is the speed of light.Therefore,$c = \frac{E_o}{B_o}$.According to Maxwell's equations,the speed of light in vacuum is related to the permeability $\mu_0$ and permittivity $\varepsilon_0$ of free space as:$c = \frac{1}{\sqrt{\mu_0 \varepsilon_0}}$.Equating the two expressions for $c$:$\frac{E_o}{B_o} = \frac{1}{\sqrt{\mu_0 \varepsilon_0}}$.Rearranging the terms to isolate the constants:$E_o \sqrt{\varepsilon_0} = \frac{B_o}{\sqrt{\mu_0}}$.Thus,option $C$ is the correct relation.

If $E_{o}$ and $B_{o}$ are the magnitudes of the electric and magnetic fields respectively of an electromagnetic wave in vacuum,then among the following the correct relation is ($\mu_0-$ permeability of free space,$\varepsilon_0-$ permittivity of free space).

Similar Questions

$A$ radio transmitter transmits at $830 \, kHz$. At a certain distance from the transmitter,the magnetic field has an amplitude of $4.82 \times 10^{-11} \, T$. The electric field and the wavelength are respectively:

$A$ plane electromagnetic wave is incident on a plane surface of area $A$ normally,and is perfectly reflected. If energy $E$ strikes the surface in time $t$,then the average pressure exerted on the surface is ($c=$ speed of light).

Write the equation for the energy density of electromagnetic waves.

The oscillating electric and magnetic vectors of an electromagnetic wave are oriented along

All electromagnetic waves transport energy in the negative $z$ direction. At a certain point and time,the direction of the electric field of the wave is along the positive $y$ direction. What will be the direction of the magnetic field of the wave at that point and instant?

Vedclass Test Series

Exam Paper Generator

Online Exam Module