Magnetic field in a plane electromagnetic wave is given by, B → = B 0 sin k x + ω t j ^ T . Expression for corresponding electric field will be: (Where c is speed of light)

E → = B 0 c sin k x + ω t k ^ V m - 1

E → = - B 0 c sin k x + ω t k ^ V m - 1

E → = B 0 c sin k x - ω t k ^ V m - 1

E → = B 0 c sin k x + ω t k ^ V m - 1

The magnetic field of an electromagnetic wave is given by: B → = 1.6 × 10 - 6 cos ⁡ 2 × 10 7 z + 6 × 10 15 t 2 i ^ + j ^ W b m 2 The associated electric field will be:

E → = 4.8 × 10 2 c o s 2 × 10 7 z + 6 × 10 15 t - i ^ + 2 j ^ V m

E → = 4.8 × 10 2 c o s 2 × 10 7 z - 6 × 10 15 t - 2 j ^ + i ^ V m

E → = 4.8 × 10 2 c o s 2 × 10 7 z + 6 × 10 15 t i ^ - 2 j ^ V m

E → = 4.8 × 10 2 c o s 2 × 10 7 z - 6 × 10 15 t 2 i ^ + j ^ V m

If the magnetic field in a plane electromagnetic wave is given by B → = 3 × 10 - 8 sin 1.6 × 10 3 x + 48 × 10 10 t j ^ T , then what will be expression for electric field ?

E → = 9 sin ⁡ 1.6 × 10 3 x + 48 × 10 10 t k ^ V m

E → = 60 sin ⁡ 1.6 × 10 3 x + 48 × 10 10 t k ^ V m

E → = 3 × 10 - 8 sin 1.6 × 10 3 x + 48 × 10 10 t j ^ V m

E → = 3 × 10 - 8 sin 1.6 × 10 3 x + 48 × 10 10 t i ^ V m

The electric field of a plane electromagnetic wave is given by E → = E 0 i ^ c o s k z c o s ( ω t ) The corresponding magnetic field B → is then given by:

B → = E 0 c j ^ sin ⁡ k z s i n ( ω t )

B → = E 0 c j ^ cos ⁡ k z s i n ( ω t )

B → = E 0 c k ^ sin ⁡ k z c o s ( ω t )

B → = E 0 c j ^ sin ⁡ k z c o s ( ω t )

The electric field of a plane polarized electromagnetic wave in free space at time t = 0 is given by the expression E → x , y = 10 j ^ c o s 6 x + 8 z . The magnetic field B → x , z , t is given by ( c is the velocity of light.)

1 c 6 k ^ - 8 i ^ c o s 6 x + 8 z - 10 c t

1 c 6 k ^ - 8 i ^ cos 6 x + 8 z + 10 c t

1 c 6 k ^ + 8 i ^ cos 6 x + 8 z - 10 c t

1 c 6 k ^ + 8 i ^ cos 6 x - 8 z + 10 c t

EASY

Earn 100

An electromagnetic wave is travelling in a medium with a velocity $\vec{v} = v \hat{i}$ . The electric field oscillations, of this electromagnetic wave wave, are along the y – axis.
(a) Identify the direction in which the magnetic field oscillations are taking place, of the electromagnetic wave wave.

(b) How are the magnitudes of the electric and magnetic fields in the electromagnetic wave related to each other?

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Important Questions on Electromagnetic Waves

EASY

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

In an electromagnetic wave in free space the root mean square value of the electric field is

E_{r m s} = 6 V m^{- 1}

. The peak value of the magnetic field is

MEDIUM

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

Magnetic field in a plane electromagnetic wave is given by,

\vec{B} = B_{0} \sin (k x + ω t) \hat{j} T

. Expression for corresponding electric field will be:

(Where

c

is speed of light)

HARD

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

The electric field component of a monochromatic radiation is given by

\vec{E} = 2 E_{0} \cos k z \cos ω t \hat{i}

, Its magnetic field

\vec{B}

is then given by:

EASY

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

The magnetic field in a travelling electromagnetic wave has a peak value of

20 nT

. The peak value of electric field strength is :

MEDIUM

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

The mean intensity of radiation on the surface of the Sun is about

10^{8} W m^{- 2} .

The RMS value of the corresponding magnetic field is closest to:

EASY

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

Consider an electromagnetic wave propagating in vacuum. Choose the correct statement:

MEDIUM

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

An electromagnetic wave travelling in the

x -

direction has frequency of

2 \times 10^{14} H z

and electric field amplitude of

27 V m^{- 1}

oscillates in

Y -

direction. From the options given below, which one describes the magnetic field for this wave?

HARD

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

The magnetic field of a plane electromagnetic wave is given by

\vec{B} = B_{0} \hat{i} [c o s (k z - ω t)] + B_{1} \hat{j} c o s (k z + ω t)

, where

B_{0} = 3 \times 10^{- 5} T

and

B_{1} = 2 \times 10^{- 6} T

. The

RMS

value of the force experienced by a stationary charge

Q = 10^{- 4} C

z = 0

is closest to

EASY

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

If the magnetic field of a plane electromagnetic wave is given by (The speed of light

= 3 \times 10^{8} m s^{- 1}

)

B = 100 \times 10^{- 6} \sin [2 π \times 2 \times 10^{15} (t - \frac{x}{c})]

then the maximum electric field associated with it is:

MEDIUM

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

For plane electromagnetic waves propagating in the

+ z

-direction, which one of the following combinations gives the correct possible direction for

\vec{E}

and

\vec{B}

field respectively?

MEDIUM

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

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}) \frac{W b}{m^{2}}

The associated electric field will be:

MEDIUM

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

The energy associated with electric field is

(U_{E})

and with magnetic field is

(U_{B})

for an electromagnetic wave in free space. Then:

MEDIUM

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

A plane electromagnetic wave travels in free space along the x-direction. The electric field component of the wave at a particular point of space and time is

E = 6 V m^{- 1}

along y-direction. Its corresponding magnetic field component,

B

would be:

EASY

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

During the propagation of electromagnetic wave in a particular medium :-

EASY

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

An electromagnetic wave is represented by the electric filed

\vec{E} = E_{0} \hat{n} \sin [ω t + (6 y - 8 z)] .

Taking unit vectors in

x, y

and

z

directions to be

\hat{i}, \hat{j}, \hat{k},

the directions of propagations

\hat{s},

is:

MEDIUM

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

If the magnetic field in a plane electromagnetic wave is given by

\vec{B} = 3 \times 10^{- 8} \sin (1.6 \times 10^{3} x + 48 \times 10^{10} t) \hat{j} T,

then what will be expression for electric field ?

EASY

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

The electric field of a plane electromagnetic wave is given by

\vec{E} = E_{0} \hat{i} c o s (k z) c o s (ω t)

The corresponding magnetic field

\vec{B}

is then given by:

MEDIUM

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

A radio transmitter sends out

60 W

of radiation. Assuming that the radiation is uniform on a sphere with the transmitter at its centre, the intensity

(i n W / m^{2})

of the wave at a distance

12 k m

HARD

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

The electric field of a plane polarized electromagnetic wave in free space at time

t = 0

is given by the expression

\vec{E} (x, y) = 10 \hat{j} c o s (6 x + 8 z)

. The magnetic field

\vec{B} (x, z, t)

is given by (

c

is the velocity of light.)

MEDIUM

Physics>Modern Physics>Electromagnetic Waves>Nature of Electromagnetic Waves

A red $L E D$ emits light at $0.1 watt$ uniformly around it. The amplitude of the electric field of the light at a distance of $1 m$ from the diode is:

Important Questions on Electromagnetic Waves

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