The magnetic field in a plane electromagnetic | vedclass

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

Question

(A) The general equation for a plane electromagnetic wave is given by $B = B_{0} \sin (kx + \omega t)$.Comparing this with the given equation $B_{y} =

Vedclass · Accepted Answer

$2 	imes 10^{-3} \; m$

Vedclass · Answer

(A) The general equation for a plane electromagnetic wave is given by $B = B_{0} \sin (kx + \omega t)$.Comparing this with the given equation $B_{y} = 2 	imes 10^{-7} \sin (\pi 	imes 10^{3} x + 3 \pi 	imes 10^{11} t) \; T$, we identify the wave number $k$ as:$k = \pi 	imes 10^{3} \; 	ext{rad/m}$.The relationship between the wave number $k$ and the wavelength $\lambda$ is given by $k = \frac{2\pi}{\lambda}$.Substituting the value of $k$:$\pi 	imes 10^{3} = \frac{2\pi}{\lambda}$.Solving for $\lambda$:$\lambda = \frac{2\pi}{\pi 	imes 10^{3}} = 2 	imes 10^{-3} \; m$.

The magnetic field in a plane electromagnetic wave is given by, $B_{y} = 2 \times 10^{-7} \sin (\pi \times 10^{3} x + 3 \pi \times 10^{11} t) \; T$. Calculate the wavelength.

Similar Questions

$A$ plane electromagnetic wave of intensity $6 \, W/m^2$ strikes a small mirror of area $30 \, cm^2$,held perpendicular to the approaching wave. The momentum transmitted in $kg \cdot m/s$ by the wave to the mirror each second will be:

The average value of electric energy density in an electromagnetic wave is:

When an electromagnetic wave enters the ionized layer of the ionosphere,the relative permittivity of the ionized layer is found to be:

Which of the following statements is false regarding the properties of electromagnetic waves?

An electromagnetic wave,going through vacuum,is described by $E = E_0 \sin(kx - \omega t)$. Which of the following is independent of wavelength?

Vedclass Test Series

Exam Paper Generator

Online Exam Module