The magnetic field in a plane electromagnetic | vedclass

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

Question

(D) The relationship between the amplitude of the electric field $E_0$ and the magnetic field $B_0$ is given by $E_0 = B_0 c$,where $c$ is the speed o

Vedclass · Accepted Answer

$E_z = 105 \sin (1.5 	imes 10^3 x + 0.5 	imes 10^{11} t) \ Vm^{-1}$

Vedclass · Answer

(D) The relationship between the amplitude of the electric field $E_0$ and the magnetic field $B_0$ is given by $E_0 = B_0 c$,where $c$ is the speed of light in vacuum $(c \approx 3 	imes 10^8 \ ms^{-1})$.Given $B_0 = 3.5 	imes 10^{-7} \ T$,we calculate $E_0 = (3.5 	imes 10^{-7}) 	imes (3 	imes 10^8) = 105 \ Vm^{-1}$.The wave propagates in the negative $x$-direction (indicated by the $+kx$ term). The magnetic field is in the $y$-direction $(B_y)$. Since the electric field,magnetic field,and direction of propagation are mutually perpendicular,the electric field must be in the $z$-direction $(E_z)$.Thus,the electric field is $E_z = 105 \sin (1.5 	imes 10^3 x + 0.5 	imes 10^{11} t) \ Vm^{-1}$.

The magnetic field in a plane electromagnetic wave is given by $B_y = (3.5 \times 10^{-7}) \sin (1.5 \times 10^3 x + 0.5 \times 10^{11} t) \ T$. The corresponding electric field will be:

Similar Questions

The magnetic field of an electromagnetic wave is given by $\vec B = 1.6 \times 10^{-6} \cos(2 \times 10^7 z + 6 \times 10^{15} t) (2\hat i + \hat j) \text{ Wb/m}^2$. The associated electric field will be

$A$ microwave oven heats food containing water molecules very efficiently under which of the following conditions?

An electromagnetic wave having frequency $4 \times 10^{14} \,Hz$ is passing through a small volume. The energy contained in this volume oscillates with frequency

When light propagates through a material medium of relative permittivity $\varepsilon_{r}$ and relative permeability $\mu_{r}$,the velocity of light,$v$,is given by: ($c$ = velocity of light in vacuum)

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

Vedclass Test Series

Exam Paper Generator

Online Exam Module