The electric field associated with an e.m. wa | vedclass

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

Question

(C) The standard equation for a plane electromagnetic wave is $\vec E = E_0 \cos(kz - \omega t)$.Comparing this with the given equation $\vec E = \hat

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(C) The standard equation for a plane electromagnetic wave is $\vec E = E_0 \cos(kz - \omega t)$.Comparing this with the given equation $\vec E = \hat i\,40\, \cos(kz - 6 	imes 10^8 t)$,we identify the angular frequency $\omega = 6 	imes 10^8 \, rad/s$.In a vacuum,the speed of light $c$ is related to the angular frequency $\omega$ and wave vector $k$ by the relation $c = \frac{\omega}{k}$.Given $c = 3 	imes 10^8 \, m/s$,we can solve for $k$:$k = \frac{\omega}{c} = \frac{6 	imes 10^8}{3 	imes 10^8} = 2 \, m^{-1}$.Thus,the value of the wave vector $k$ is $2 \, m^{-1}$.

The electric field associated with an $e.m.$ wave in vacuum is given by $\vec E = \hat i\,40\,\cos \left( {kz - 6 \times {{10}^8}\,t} \right)$,where $E$,$z$,and $t$ are in $V/m$,$m$,and $s$ respectively. The value of the wave vector $k$ is ....... $m^{-1}$.

Similar Questions

Which taxonomic category is written first when writing the scientific name of an organism?

Which is the correct order for the rate of sulphonation of benzene?

The equation $8 x^2-24 x y+18 y^2-6 x+9 y-5=0$ represents a

Find the derivative of the function $(x+\sec x)(x-\tan x)$.

Which of the following organisms possesses a cell wall made of peptidoglycan?

Vedclass Test Series

Exam Paper Generator

Online Exam Module