The electric field of a plane electromagnetic | vedclass

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

Question

(D) The general equation for a plane wave is $E = E_0 \sin(kx - \omega t)$.Comparing this with the given equation,we have the angular frequency $\omeg

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(D) The general equation for a plane wave is $E = E_0 \sin(kx - \omega t)$.Comparing this with the given equation,we have the angular frequency $\omega = 4.5 	imes 10^{14} 	ext{ rad/s}$ and the wave number $k = 3 	imes 10^6 	ext{ rad/m}$.The phase velocity $v$ of the wave in the medium is given by $v = \frac{\omega}{k} = \frac{4.5 	imes 10^{14}}{3 	imes 10^6} = 1.5 	imes 10^8 	ext{ m/s}$.The refractive index $n$ of the medium is $n = \frac{c}{v} = \frac{3 	imes 10^8}{1.5 	imes 10^8} = 2$.For a non-magnetic medium,the relative permeability $\mu_r = 1$. The refractive index is related to the dielectric constant (relative permittivity) $\varepsilon_r$ by $n = \sqrt{\mu_r \varepsilon_r} = \sqrt{\varepsilon_r}$.Thus,$\varepsilon_r = n^2 = 2^2 = 4$.

Similar Questions

What are called non-mechanical waves? Give its examples.

Suppose that the electric field amplitude of an electromagnetic wave is $E_{0}=120 \text{ NC}^{-1}$ and its frequency $f=50 \text{ MHz}$. Then,which of the following values is incorrectly computed?

An electromagnetic wave with angular frequency $\omega$ and wavelength $\lambda$ propagates in the $+y$ direction. Its magnetic field is directed along the $-x$ direction. The vector expression for the associated electric field (with amplitude $E_0$) is ...........

What are electromagnetic waves?

The relationship between the amplitude of the electric field $(E_0)$ and the magnetic field $(B_0)$ in an electromagnetic wave is given by:

Vedclass Test Series

Exam Paper Generator

Online Exam Module