At a particular point in time and space, an electromagnetic plane wave has an energy flux...
At a particular point in time and space, an electromagnetic
plane wave has an energy flux S = <0, 0, a> (a > 0) and an
electric field in the +x direction. Find the magnitude and
direction of its magnetic field.
The answer should be in terms of a, the magnitude of the Poynting
vector, c, the speed of light, and k, Coulomb's constant.
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At a particular point in time and space, an electromagnetic
plane wave has an energy flux...
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 \(2.5 * 10^{-7} \mathrm{~T}\),...
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 *...
a) The peak magnitude of the magnetic field in a particular electromagnetic wave in a vacuum...
a) The peak magnitude of the magnetic field in a particular electromagnetic wave in a vacuum is 1.0E-12 T. What is the peak electric field magnitude for the same wave? b) If at a given time t0 the Magnetic field vector for the wave pointed in the +z direction, what direction would the electric field point at that time? c) At time t0, which direction is the EM wave traveling? d) What is the speed of the wave? e) What...
Electromagnetic waves transport energy. This problem shows you which parts of the energy are stored in...
Electromagnetic waves transport energy. This problem shows you which parts of the energy are stored in the electric and magnetic fields, respectively, and also makes a useful connection between the energy density of a plane electromagnetic wave and the Poynting vector. In this problem, we explore the properties of a plane electromagnetic wave traveling at the speed of light c along the x axis through vacuum. Its electric and magnetic field vectors are as follows: E = E, sin (kx...
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...
2.In air, an electromagnetic uniform plane wave of frequency f 300MHz has the wave vector に"E[x+y]...
2.In air, an electromagnetic uniform plane wave of frequency f 300MHz has the wave vector に"E[x+y] and a phasor electric field at the origin ofE> (1+))2. Find (give units): (a) phasor electric field in terms of rectangular coordinate variables (b) associated phasor magnetic field in terms of rectangular coordinate variables (c) time-averaged power density (or time-averaged Poynting vector) carried by the wave (d) time-averaged power carried by the wave through an area of a square that occupies the region Os...
Consider an electromagnetic wave traveling through empty space described by the electric and magnetic fields given....
Consider an electromagnetic wave traveling through empty space
described by the electric and magnetic fields given. In which
direction is this wave traveling? Find the magnitude (in terms of
alpha) and the direction of the constant vector G. What is the
wavelength and frequency of this wave?
Consider an electromagnetic wave travelling through empty space described by the electric and magnetic fields where ? and L are positive constants and G is a constant vector. (a) [1 pt] In which...
Given that a sinusoidal electromagnetic wave is propagating in a vacuum. At a particular time at...
Given that a sinusoidal electromagnetic wave is propagating in a vacuum. At a particular time at a point P the electric field is in one direction and the magnetic field is in another direction but perpendicular. Find the direction of the wave and if given the intensity at the point P find the electric field amplitude
An Electromagnetic Wave A sinusoidal electromagnetic wave of frequency 43.0 MHz travels in free space in...
An Electromagnetic Wave A sinusoidal electromagnetic wave of frequency 43.0 MHz travels in free space in the x-direction as in the figure. At some instant, a plane electromagnetic wave moving in the x direction has a maximum electric field of 725 N/C in the positive y direction. (a) Determine the wavelength and period of the wave. SOLUTION plane. Conceptualize Imagine the wave in the figure moving to the right along the x-axis, with the electric and magnetic fields oscillating in...
A plane electromagnetic wave with a time-averaged Poynting vector 〈S!〉 is incident on a long prism made from a conduc...
A plane electromagnetic wave with a time-averaged Poynting vector 〈S!〉 is incident on a long prism made from a conducting material which has a cross-section in the shape of an equilateral triangle, with side length a (see figure below). Assume that the prism is large compared to the wavelength of the electromagnetic wave and that scattering from the corners can be neglected. In other words, it can be assumed that the outgoing waves are produced by specular reflection from 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 \(2.5 * 10^{-7} \mathrm{~T}\),...
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 *...
Electromagnetic waves transport energy. This problem shows you which parts of the energy are stored in the electric and magnetic fields, respectively, and also makes a useful connection between the energy density of a plane electromagnetic wave and the Poynting vector. In this problem, we explore the properties of a plane electromagnetic wave traveling at the speed of light c along the x axis through vacuum. Its electric and magnetic field vectors are as follows: E = E, sin (kx...
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...
2.In air, an electromagnetic uniform plane wave of frequency f 300MHz has the wave vector に"E[x+y] and a phasor electric field at the origin ofE> (1+))2. Find (give units): (a) phasor electric field in terms of rectangular coordinate variables (b) associated phasor magnetic field in terms of rectangular coordinate variables (c) time-averaged power density (or time-averaged Poynting vector) carried by the wave (d) time-averaged power carried by the wave through an area of a square that occupies the region Os...
Consider an electromagnetic wave traveling through empty space
described by the electric and magnetic fields given. In which
direction is this wave traveling? Find the magnitude (in terms of
alpha) and the direction of the constant vector G. What is the
wavelength and frequency of this wave?
Consider an electromagnetic wave travelling through empty space described by the electric and magnetic fields where ? and L are positive constants and G is a constant vector. (a) [1 pt] In which...
An Electromagnetic Wave A sinusoidal electromagnetic wave of frequency 43.0 MHz travels in free space in the x-direction as in the figure. At some instant, a plane electromagnetic wave moving in the x direction has a maximum electric field of 725 N/C in the positive y direction. (a) Determine the wavelength and period of the wave. SOLUTION plane. Conceptualize Imagine the wave in the figure moving to the right along the x-axis, with the electric and magnetic fields oscillating in...
A plane electromagnetic wave with a time-averaged Poynting vector 〈S!〉 is incident on a long prism made from a conducting material which has a cross-section in the shape of an equilateral triangle, with side length a (see figure below). Assume that the prism is large compared to the wavelength of the electromagnetic wave and that scattering from the corners can be neglected. In other words, it can be assumed that the outgoing waves are produced by specular reflection from the...
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