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6. A plane wave in free space travels parallel to the x-y plane in a direction that makes an angle θ with the x-axis (ie, the k vector makes an angle θ with the x-axis), what are the expressions...
Q3) An incident wave travels in free-space along the z-direction and impinges upon a cube of...
Q3) An incident wave travels in free-space along the z-direction and impinges upon a cube of dielectric material with a constant permittivity of ε. The faces of the dielectric cube are parallel to the x-y. y-z, x-z planes. The length of each side of the cube is d. The polarization of the incident electric field is along the x-axis. Use the Born approximation to calculate the scattered electric and magnetic fields in the far-field zone along the ks-R, =+x and...
An optical plane wave in free space has a wavevector of magnitude k = 1.288 x...
An optical plane wave in free space has a wavevector of magnitude k = 1.288 x 107m-1 and travels in the direction k= ta (ĉ + 2Ÿ – î) with its electric field in the xy-plane. a) Calculate the direction ê of the electric field. (Take ex to be positive). b) Calculate the direction Ô of the magnetic field. c) How many wavecrests (peak-to-peak) lie between the origin of coordinates and the point (x, y, z) = (0,0.5,0.1) mm? (Recall...
A plane wave is propagating in free space in the +z direction. The magnitude of the electric...
A plane wave is propagating in free space in the +z direction. The magnitude of the electric field intensity is 120 V/m. Both electric and magnetic fields are in phase. Determine the average power density in Watt per square meter.
1) An electromagnetic plane wave travels in through a vacuum in the -y direction and has...
1) An electromagnetic plane wave travels in through a vacuum in the -y direction and has an angular frequency of w=2.15 x 1014 rad/s. Its electric field is along the x axis. a) What is the wavelength in um? b) What portion of the electromagnetic spectrum is this radiation? c) Write a general expression for the electric field as a function of space and time. Include the variables Emax, k and w d) What is the direction of the magnetic...
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...
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 wavelength 2.4 m, travels in vacuum in the positive direction ...
A plane electromagnetic wave, with wavelength 2.4 m, travels in
vacuum in the positive direction of an x axis. The electric field,
of amplitude 390 V/m, oscillates parallel to the y axis. What are
the (a) frequency, (b) angular frequency, and (c) angular wave
number of the wave? (d) What is the amplitude of the magnetic field
component? (e) Parallel to which axis does the magnetic field
oscillate? (f) What is the time-averaged rate of energy flow
associated with this...
A plane electromagnetic wave, with wavelength 2.8 m, travels in vacuum in the positive direction of...
A plane electromagnetic wave, with wavelength 2.8 m, travels in vacuum in the positive direction of an x axis. The electric field, of amplitude 300 V/m, oscillates parallel to the y axis. What are the (a) frequency, (b) angular frequency, and (c) angular wave number of the wave? (d) What is the amplitude of the magnetic field component? (e) Parallel to which axis does the magnetic field oscillate? (f) What is the time-averaged rate of energy flow associated with this...
A monochromatic, plane electromagnetic wave, incident fromn vacuum at an angle θ to the normal, is reflected from the s...
A monochromatic, plane electromagnetic wave, incident fromn vacuum at an angle θ to the normal, is reflected from the surface of a semi-infinite slab of perfect electric conductor that occupies the space z 2 0. Take the plane of incidence to be the x - z plane and the boundary to be the z plane. If the incident wave is polarised with its electric field parallel to the plane of incidence, write down expressions for: (a) The surface charge density...
A monochromatic, plane electromagnetic wave, incident from vacuum at an angle θ to the normal is reflected from the sur...
A monochromatic, plane electromagnetic wave, incident from vacuum at an angle θ to the normal is reflected from the surface of a semi-infinite slab of perfect electric conductor that occupies the space z 2 0. Take the plane of incidence to be the x - z plane and the boundary to be the z- 0 plane. If the incident wave is polarised with its electric field parallel to the plane of incidence, write down expressions for: The surface charge density...
Q3) An incident wave travels in free-space along the z-direction and impinges upon a cube of dielectric material with a constant permittivity of ε. The faces of the dielectric cube are parallel to the x-y. y-z, x-z planes. The length of each side of the cube is d. The polarization of the incident electric field is along the x-axis. Use the Born approximation to calculate the scattered electric and magnetic fields in the far-field zone along the ks-R, =+x and...
An optical plane wave in free space has a wavevector of magnitude k = 1.288 x 107m-1 and travels in the direction k= ta (ĉ + 2Ÿ – î) with its electric field in the xy-plane. a) Calculate the direction ê of the electric field. (Take ex to be positive). b) Calculate the direction Ô of the magnetic field. c) How many wavecrests (peak-to-peak) lie between the origin of coordinates and the point (x, y, z) = (0,0.5,0.1) mm? (Recall...
1) An electromagnetic plane wave travels in through a vacuum in the -y direction and has an angular frequency of w=2.15 x 1014 rad/s. Its electric field is along the x axis. a) What is the wavelength in um? b) What portion of the electromagnetic spectrum is this radiation? c) Write a general expression for the electric field as a function of space and time. Include the variables Emax, k and w d) What is the direction of the magnetic...
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...
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 wavelength 2.4 m, travels in
vacuum in the positive direction of an x axis. The electric field,
of amplitude 390 V/m, oscillates parallel to the y axis. What are
the (a) frequency, (b) angular frequency, and (c) angular wave
number of the wave? (d) What is the amplitude of the magnetic field
component? (e) Parallel to which axis does the magnetic field
oscillate? (f) What is the time-averaged rate of energy flow
associated with this...
A monochromatic, plane electromagnetic wave, incident fromn vacuum at an angle θ to the normal, is reflected from the surface of a semi-infinite slab of perfect electric conductor that occupies the space z 2 0. Take the plane of incidence to be the x - z plane and the boundary to be the z plane. If the incident wave is polarised with its electric field parallel to the plane of incidence, write down expressions for: (a) The surface charge density...
A monochromatic, plane electromagnetic wave, incident from vacuum at an angle θ to the normal is reflected from the surface of a semi-infinite slab of perfect electric conductor that occupies the space z 2 0. Take the plane of incidence to be the x - z plane and the boundary to be the z- 0 plane. If the incident wave is polarised with its electric field parallel to the plane of incidence, write down expressions for: The surface charge density...
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