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Suppose that the electric field part of an electromagnetic wave in vacuum is $E = (3.1 N / C) cos [(1.8 r a d / m) y + (5.4 \times 1 0^{6} r a d / s) t] \hat{i}$ (a) What is the direction of propagation?
(b) What is the wavelength $λ$ ?
(c) What is the frequency v?
(d) What is the amplitude of the magnetic field part of the wave?
(e) Write an expression for the magnetic field part of the wave.

Name: Video solution 1: [Solved] Suppose that the electric field part of an electromagnetic wave in vacuum is E=(3.1N/C)cos[(1.8rad/m)y+(5.4×106rad/s)t]i^(a) What is the direction of propagation?(b) What is the wavelength λ ?(c) What is the frequency v?(d) What is the amplitude of the magnetic field part of the wave?(e) Write an expression for the magnetic field part of the wave. - Physics Part-I
Uploaded: 2023-02-05T13:43:16.000Z
Duration: 2 min
Description: Video solution 1: [Solved] Suppose that the electric field part of an electromagnetic wave in vacuum is E=(3.1N/C)cos[(1.8rad/m)y+(5.4×106rad/s)t]i^(a) What is the direction of propagation?(b) What is the wavelength λ ?(c) What is the frequency v?(d) What is the amplitude of the magnetic field part of the wave?(e) Write an expression for the magnetic field part of the wave. - Physics Part-I

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Suppose that the electric field part of an electromagnetic wave in vacuum is

E = (3.1 N / C) cos [(1.8 r a d / m) y + (5.4 \times 1 0^{6} r a d / s) t] \hat{i}

(a) What is the direction of propagation?
(b) What is the wavelength

λ

?
(c) What is the frequency v?
(d) What is the amplitude of the magnetic field part of the wave?
(e) Write an expression for the magnetic field part of the wave.

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Text solutionVerified

(a)

Electric field is directed along negative x-direction.

hence the direction of motion is along the negative y-direction.

(b)

From the given equation, $k = 1.8 r a d / m$

$λ = 2 π / k = 3.49$

(c)

Frequency of wave is $ν = ω /2 π = 8.6 \times 1 0^{7} = 86 M h z$

(d)

For the given equation, $E_{o} = 3.1 N / C$

$B_{o} = E_{o} / c = 1.03 \times 1 0^{- 7} = 103 n T$

(e)

Magnetic wave is directed along negative z-direction.

Thus, $B = B_{o} cos (k y + ω t) \hat{k}$

$\Rightarrow B = 1.03 \times 1 0^{- 7} cos (1.8 y + 5.4 \times 1 0^{6} t) \hat{k}$

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Suppose that the electric field part of an electromagnetic wave in vacuum is

E = (3.1 N / C) cos [(1.8 r a d / m) y + (5.4 \times 1 0^{6} r a d / s) t] \hat{i}

(a) What is the direction of propagation?
(b) What is the wavelength

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(d) What is the amplitude of the magnetic field part of the wave?
(e) Write an expression for the magnetic field part of the wave.

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Question Text	Suppose that the electric field part of an electromagnetic wave in vacuum is $E = (3.1 N / C) cos [(1.8 r a d / m) y + (5.4 \times 1 0^{6} r a d / s) t] \hat{i}$ (a) What is the direction of propagation? (b) What is the wavelength $λ$ ? (c) What is the frequency v? (d) What is the amplitude of the magnetic field part of the wave? (e) Write an expression for the magnetic field part of the wave.
Updated On	Feb 5, 2023
Topic	Electromagnetic Waves
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 1
Upvotes	142
Avg. Video Duration	2 min

Text solutionVerified

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