A plane electromagnetic wave of frequency 25 | vedclass

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

Question

(A) For an electromagnetic wave traveling in free space, the relationship between the electric field $\vec{E}$ and the magnetic field $\vec{B}$ is giv

Vedclass · Accepted Answer

$2.1 	imes 10^{-8} \hat{k} 	ext{ T}$

Vedclass · Answer

(A) For an electromagnetic wave traveling in free space, the relationship between the electric field $\vec{E}$ and the magnetic field $\vec{B}$ is given by $B = \frac{E}{c}$, where $c$ is the speed of light in vacuum $(c \approx 3 	imes 10^8 	ext{ m/s})$.Given $E = 6.3 	ext{ V/m}$, the magnitude of the magnetic field is $B = \frac{6.3}{3 	imes 10^8} = 2.1 	imes 10^{-8} 	ext{ T}$.The direction of propagation is along the $X$-direction $(\hat{i})$, and the electric field is along the $Y$-direction $(\hat{j})$.Since the wave propagates in the direction of $\vec{E} 	imes \vec{B}$, we have $\hat{i} = \hat{j} 	imes \hat{B}$.This implies $\hat{B} = \hat{k}$.Therefore, the magnetic field is $\vec{B} = 2.1 	imes 10^{-8} \hat{k} 	ext{ T}$.

$A$ plane electromagnetic wave of frequency $25 \text{ MHz}$ travels in free space along the $X$-direction. At a particular point in space and time, the electric field is $\vec{E} = 6.3 \hat{j} \text{ V m}^{-1}$. What is the magnetic field $\vec{B}$ at that point?

Similar Questions

Which of the following is not transported by electromagnetic waves?

The electromagnetic waves travel in free space with the velocity of

In a plane electromagnetic wave,the electric field oscillates with a frequency $2 \times 10^{10} \,s^{-1}$ and amplitude $40 \,Vm^{-1}$. The energy density due to the electric field is (given $\varepsilon_0 = 8.85 \times 10^{-12} \,Fm^{-1}$):

The velocity of an electromagnetic wave is in the direction of

Show that the average value of radiant flux density $S$ over a single period $T$ is given by $S = \frac{1}{2c\mu_0}E_0^2$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module