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

In an $EMW$,the phase difference between electric and magnetic field vectors $\vec E$ and $\vec B$ is:

In a plane electromagnetic wave,which of the following has/have a zero average value in one complete cycle?
$(a)$ Magnetic field
$(b)$ Magnetic energy
$(c)$ Electric field
$(d)$ Electric energy

$X$-rays,gamma rays and microwaves travelling in vacuum have

How much time will it take for information to propagate over a distance of $30 \, km$ in space?

The magnetic field of a beam emerging from a filter facing a floodlight is given by $B = 12 \times 10^{-8} \sin(1.20 \times 10^7 z - 3.60 \times 10^{15} t) \text{ T}$. What is the average intensity of the beam?

Vedclass Test Series

Exam Paper Generator

Online Exam Module