If the electric field in a plane electromagnetic wave is given by Emsin[(3 × 106 m–1x)...
If the electric field in a plane electromagnetic wave is given by Emsin[(3 × 106 m–1x) – ωt], the value of ω is:
Please explain VERY clearly. Thank you!
9 × 1016 rad/s
9 × 1014 rad/s
10 rad/s
100 rad/s
0.01 rad/s
Homework Answers
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If the electric field in a plane electromagnetic wave is given
by Emsin[(3 × 106
m–1x)...
The magnetic field of an electromagnetic wave is described by By = B0cos(kx - ωt), where...
The magnetic field of an electromagnetic wave is described by By = B0cos(kx - ωt), where B0 = 3.5 × 10-6 T and ω = 2.5 × 107 rad/s. What is the amplitude of the corresponding electric field oscillations, E0, in terms of B0? What is the frequency of the electromagnetic wave, f, in terms of ω? What is the wavelength of the electromagnetic wave, λ, in terms of ω and the speed of light c?
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Question 2: For an electromagnetic plane wave, the electric field is given by: Ē = E,...
Question 2: For an electromagnetic plane wave, the electric field is given by:$$ \vec{E}=E_{0} \cos (k z+\omega t) \hat{x}+0 \hat{y}+0 \hat{z} $$a) Determine the direction of propagation of the electromagnetic wave.b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave \(\vec{B}\).c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense?d) If the amplitude of the magnetic field was measured to be \(2.5 * 10^{-7} \mathrm{~T}\),...
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An electromagnetic wave has an electric field given by...
Find the wavelength.
An electromagnetic wave has an electric field given by E(y,t) = [2.90 x 10^5 V/m cos(ky - ( 1.370 x 10^13rad/s )t)]k-hat. What is the wavelength of the wave?
Please help with part (c). Thank you! The electric field of a sinusoidal electromagnetic wave obeys...
Please help with part (c). Thank you!
The electric field of a sinusoidal electromagnetic wave obeys the equation E = -(420 V/m) sin [(5.22 times 10^15 rad/s)t + (1.74 times 10^7 rad/m)x], What are the amplitudes of the electric and magnetic fields of this wave? What are the frequency, wavelength, and period of the wave? Is this light visible to humans? What is the speed of the wave?
Question 2: For an electromagnetic plane wave, the electric field is given by: Ē= E, cos(kz...
Question 2: For an electromagnetic plane wave, the electric field is given by: Ē= E, cos(kz +wt) ĉ +0 ġ+02 a) Determine the direction of propagation of the electromagnetic wave. b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave B. c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense? d) If the amplitude of the magnetic field was measured to be 2.5 *...
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Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and fthe frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (i.e., to 1/3 of the amplitude at z-0 when it arrives at z- 100...
blem 6. Electromagnetic plane waves in a lossy medium tric field of an electromagnetic plane wave...
blem 6. Electromagnetic plane waves in a lossy medium tric field of an electromagnetic plane wave traveling in a lossy medium can be written as The where z is the distance, t is time, and fthe frequency. Forf- 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (ie, to 1/3 of the amplitude at: 0 when it arrives at : -100 m)....
The magnetic field of an electromagnetic wave in a vacuum is Bz =(3.4μT)sin((9.50×106)x−ωt), where x is...
The magnetic field of an electromagnetic wave in a vacuum is Bz =(3.4μT)sin((9.50×106)x−ωt), where x is in m and t is in s. What are the wavelength, frequency, and amplitude?
The magnetic field of a plane electromagnetic wave is given by B2 = 21.7 sin(kx –...
The magnetic field of a plane electromagnetic wave is given by B2 = 21.7 sin(kx – 6.53 x 10®t) nt. (a) What is the amplitude of the electric field of this wave? 6.51e9V/m (b) What is the frequency f? Hz (c) What is the wavelength 2?
Question 2: For an electromagnetic plane wave, the electric field is given by:$$ \vec{E}=E_{0} \cos (k z+\omega t) \hat{x}+0 \hat{y}+0 \hat{z} $$a) Determine the direction of propagation of the electromagnetic wave.b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave \(\vec{B}\).c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense?d) If the amplitude of the magnetic field was measured to be \(2.5 * 10^{-7} \mathrm{~T}\),...
An electromagnetic wave has an electric field given by...
Find the wavelength.
An electromagnetic wave has an electric field given by E(y,t) = [2.90 x 10^5 V/m cos(ky - ( 1.370 x 10^13rad/s )t)]k-hat. What is the wavelength of the wave?
Please help with part (c). Thank you!
The electric field of a sinusoidal electromagnetic wave obeys the equation E = -(420 V/m) sin [(5.22 times 10^15 rad/s)t + (1.74 times 10^7 rad/m)x], What are the amplitudes of the electric and magnetic fields of this wave? What are the frequency, wavelength, and period of the wave? Is this light visible to humans? What is the speed of the wave?
Question 2: For an electromagnetic plane wave, the electric field is given by: Ē= E, cos(kz +wt) ĉ +0 ġ+02 a) Determine the direction of propagation of the electromagnetic wave. b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave B. c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense? d) If the amplitude of the magnetic field was measured to be 2.5 *...
Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and fthe frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (i.e., to 1/3 of the amplitude at z-0 when it arrives at z- 100...
blem 6. Electromagnetic plane waves in a lossy medium tric field of an electromagnetic plane wave traveling in a lossy medium can be written as The where z is the distance, t is time, and fthe frequency. Forf- 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (ie, to 1/3 of the amplitude at: 0 when it arrives at : -100 m)....
The magnetic field of a plane electromagnetic wave is given by B2 = 21.7 sin(kx – 6.53 x 10®t) nt. (a) What is the amplitude of the electric field of this wave? 6.51e9V/m (b) What is the frequency f? Hz (c) What is the wavelength 2?
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