An electromagnetic wave has an electric field given by...
Find the wavelength.
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An electromagnetic wave has an electric field given by...
Find the wavelength.
An electromagnetic wave has...
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 \(2.5 * 10^{-7} \mathrm{~T}\),...
The magnetic field of an electromagnetic wave is given by where B is measured in Tesla,...
The magnetic field of an electromagnetic wave is given by
where B is measured in Tesla, x in meters, and t in seconds.
a) What is the wavelength of the wave? Enter your answer in
nm.
b) What is the frequency (not the angular
frequency) of the wave? Enter your answer in THz (terra-hertz),
where 1 THz = 1012 Hz.
c) What is the amplitude of the wave's electric field? Enter
your answer in V/m.
d) What is the average...
Need help with this question. The electric field associated with an electromagnetic wave is expressed as,...
Need help with this question.
The electric field associated with an electromagnetic wave is expressed as, E(r, t) = [2i - 3j + 2k] (10^4 V/m) cos [{5X10^7 pi (x + 2y + 2z)/3) - 15 pi X 10^15 t], where x, y, z are in meter and t is in second. Find (a) the direction of propagation, (b) velocity, (c) wavelength, (d) B(r, t), and (e) intensity and (f polarization state of the wave.
Electromagnetic Waves 1 2 3 468 The magnetic field in a plane monochromatic electromagnetic wave with...
Electromagnetic Waves 1 2 3 468 The magnetic field in a plane monochromatic electromagnetic wave with wavelength 1 = 674 nm, propagating in a vacuum in the z-direction is described by B= (Bộ sin(kz - t) (+3) where B, = 4.8 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is k, the wavenumber of this wave? m1 Submit 2) What is Zmax, the distance along the positive Z-axis...
The electric field of an electromagnetic wave points in the negative y-direction. At the same time,...
The electric field of an electromagnetic wave points in the negative y-direction. At the same time, the magnetic field of this wave points in the negative x-direction. In what direction is the wave traveling? +x-direction -x-direction +y-direction -y-direction +z-direction -z-direction Find the frequency of blue light with a wavelength of 454 nm. Hz What is the rms value of the electric field in a sinusoidal electromagnetic wave that has a maximum electric field of 94 V/m? V/m
An electromagnetic wave has a frequency of 110 MHZ and is travelling in a vacuum. The...
An electromagnetic wave has a frequency of 110 MHZ and is travelling in a vacuum. The magnetic field is given by B^rightarrow (z, t) = (5.00 times 10^- 8 T) cos (Kz - omega t)i^. (Assume the electromagnetic wave is travelling in the k^direction. Find the wavelength of this wave. 2.72 m Find the electric field vector E^rightarrow (z, t). (Use the following as necessary: z, and t.) E^rightarrow (z, t) = V/m Determine the Poynting vector. (Use the following...
Number 6 only tic Waves The magnetic field in a plane monochromatic electromagnetic wave with wavelength...
Number
6 only
tic Waves The magnetic field in a plane monochromatic electromagnetic wave with wavelength A - 431 nm vacuum in the z-direction is described by B- (Bi sin(ks-t)(i +3) where B, -7.8x 1o* T, and i-hat and j-hat are the unit vectors in the .x and y directions, respectivety. 1) What is k, the wavenumber of this wave? 1.458e7 m Submit 2) What is Zmax the distance along the positive z-axis to the position where the magnitude of...
Electromagnetic Waves 2 1 2 3 4 A plane monochromatic electromagnetic wave with wavelength 1 =...
Electromagnetic Waves 2 1 2 3 4 A plane monochromatic electromagnetic wave with wavelength 1 = 2.6 cm, propagates through a vacuum. Its magnetic field is described by B = (B,i+Byj) cos(kx + wt) where B, = 2.7 x 10-6 T, B, - 5.9 X 106T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is f, the frequency of this wave? 0 GHz Submit 2) What is I, the intensity of...
The magnetic field in a plane monochromatic electromagnetic wave with wavelength vacuum in the z-direction is described...
The magnetic field in a plane monochromatic electromagnetic wave with wavelength vacuum in the z-direction is described by - 561 nm, propagating in a B = (B1 sin(kz - @))i + where B1 - 6.8 x 10-6 T, and i-hat and j-hat are the unit vectors in the +x and y directions, respectively. 6) What is tmax, the first time after t - 0, when the magnitude of the electric field at the origin (x-y-z-0) has its maxiumum value? s...
1. An electromagnetic plane wave is propagating through space. Its electric field vector is given by...
1. An electromagnetic plane wave is propagating through space. Its electric field vector is given by E i Eo cos(kz- ot). Its magnetic field vector is: a) B=jBo cos(kz-t) b) B- kBo cos(ky-at) c) B-iB, cos(ky-) d) B- kBo cos(kz-o) 1 2. The velocity of an electromagnetic plane wave is: a) In the electric field direction b) In the magnetic field direction c) In a direction parallel to the electric and magnetic fields d) In a direction perpendicular to the...
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 \(2.5 * 10^{-7} \mathrm{~T}\),...
The magnetic field of an electromagnetic wave is given by
where B is measured in Tesla, x in meters, and t in seconds.
a) What is the wavelength of the wave? Enter your answer in
nm.
b) What is the frequency (not the angular
frequency) of the wave? Enter your answer in THz (terra-hertz),
where 1 THz = 1012 Hz.
c) What is the amplitude of the wave's electric field? Enter
your answer in V/m.
d) What is the average...
Need help with this question.
The electric field associated with an electromagnetic wave is expressed as, E(r, t) = [2i - 3j + 2k] (10^4 V/m) cos [{5X10^7 pi (x + 2y + 2z)/3) - 15 pi X 10^15 t], where x, y, z are in meter and t is in second. Find (a) the direction of propagation, (b) velocity, (c) wavelength, (d) B(r, t), and (e) intensity and (f polarization state of the wave.
Electromagnetic Waves 1 2 3 468 The magnetic field in a plane monochromatic electromagnetic wave with wavelength 1 = 674 nm, propagating in a vacuum in the z-direction is described by B= (Bộ sin(kz - t) (+3) where B, = 4.8 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is k, the wavenumber of this wave? m1 Submit 2) What is Zmax, the distance along the positive Z-axis...
The electric field of an electromagnetic wave points in the negative y-direction. At the same time, the magnetic field of this wave points in the negative x-direction. In what direction is the wave traveling? +x-direction -x-direction +y-direction -y-direction +z-direction -z-direction Find the frequency of blue light with a wavelength of 454 nm. Hz What is the rms value of the electric field in a sinusoidal electromagnetic wave that has a maximum electric field of 94 V/m? V/m
An electromagnetic wave has a frequency of 110 MHZ and is travelling in a vacuum. The magnetic field is given by B^rightarrow (z, t) = (5.00 times 10^- 8 T) cos (Kz - omega t)i^. (Assume the electromagnetic wave is travelling in the k^direction. Find the wavelength of this wave. 2.72 m Find the electric field vector E^rightarrow (z, t). (Use the following as necessary: z, and t.) E^rightarrow (z, t) = V/m Determine the Poynting vector. (Use the following...
Number
6 only
tic Waves The magnetic field in a plane monochromatic electromagnetic wave with wavelength A - 431 nm vacuum in the z-direction is described by B- (Bi sin(ks-t)(i +3) where B, -7.8x 1o* T, and i-hat and j-hat are the unit vectors in the .x and y directions, respectivety. 1) What is k, the wavenumber of this wave? 1.458e7 m Submit 2) What is Zmax the distance along the positive z-axis to the position where the magnitude of...
Electromagnetic Waves 2 1 2 3 4 A plane monochromatic electromagnetic wave with wavelength 1 = 2.6 cm, propagates through a vacuum. Its magnetic field is described by B = (B,i+Byj) cos(kx + wt) where B, = 2.7 x 10-6 T, B, - 5.9 X 106T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is f, the frequency of this wave? 0 GHz Submit 2) What is I, the intensity of...
The magnetic field in a plane monochromatic electromagnetic wave with wavelength vacuum in the z-direction is described by - 561 nm, propagating in a B = (B1 sin(kz - @))i + where B1 - 6.8 x 10-6 T, and i-hat and j-hat are the unit vectors in the +x and y directions, respectively. 6) What is tmax, the first time after t - 0, when the magnitude of the electric field at the origin (x-y-z-0) has its maxiumum value? s...
1. An electromagnetic plane wave is propagating through space. Its electric field vector is given by E i Eo cos(kz- ot). Its magnetic field vector is: a) B=jBo cos(kz-t) b) B- kBo cos(ky-at) c) B-iB, cos(ky-) d) B- kBo cos(kz-o) 1 2. The velocity of an electromagnetic plane wave is: a) In the electric field direction b) In the magnetic field direction c) In a direction parallel to the electric and magnetic fields d) In a direction perpendicular to the...
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