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Given a harmonic plane wave traveling in the x-direction η(x,t)-η, cos(kr-cot) with the dispersion relationship ω2-/2+Cjk2...
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (...
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
A traveling wave is described by the function y(x,t) = 2 cos(3pi*t − 4pi*x), where y...
A traveling wave is described by the function y(x,t) = 2 cos(3pi*t − 4pi*x), where y is in cm, x is in meters, and t is in seconds. a. In what direction is the wave traveling? b. What is the speed of the wave? c. What is the transverse acceleration of the wave at y = 0 and t = 1 second? d. Write an expression for the second harmonic of this wave (i.e., same speed, but twice the frequency).
The figure below shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the...
The figure below shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 48.0 m and the e field vibrates in the xy plane with an amplitude of 18.0 V/m. (a) Calculate the frequency of the wave. 6.25 MHz (b) Calculate the magnetic field B when the electric field has its maximum value in the negative y direction, magnitude. 0.13 What is the relationship between the amplitudes of the magnetic and electric fields in a...
The displacement of a wave traveling in the positive x-direction is y(x, t) = (3.5 cm)cos(2.7x...
The displacement of a wave traveling in the positive x-direction is y(x, t) = (3.5 cm)cos(2.7x - 122t), where x is in m and t is in s. (a) What is the frequency of this wave? Hz (b) What is the wavelength of this wave? m (c) What is the speed of this wave? m/s
13. I The displacement of a wave traveling in the positive x-direction is D(x, t) (3.5 cm) sin(2....
13. I The displacement of a wave traveling in the positive x-direction is D(x, t) (3.5 cm) sin(2.7x 1241), where x is in m and t is in s. What are the (a) frequency, (b) wavelength, and (c) speed of this wave?
13. I The displacement of a wave traveling in the positive x-direction is D(x, t) (3.5 cm) sin(2.7x 1241), where x is in m and t is in s. What are the (a) frequency, (b) wavelength, and (c)...
Chapter 33, Problem 011 A plane electromagnetic wave traveling in the positive direction of an x...
Chapter 33, Problem 011 A plane electromagnetic wave traveling in the positive direction of an x axis in vacuum has components Ex = Ey = 0 and Ez = (4.4 V/m) cos[(11 x 1015 s-1)(t - x/c)]:(a) What is the amplitude of the magnetic field component? (b) Parallel to which axis does the magnetic field oscillate? (C) When the electric field component is in the positive direction of the z axis at a certain point P, what is the direction...
An electromagnetic wave traveling in the -x direction in vacuum has a frequency 2x1014Hz. The electric...
An electromagnetic wave traveling in the -x direction in vacuum
has a frequency 2x1014Hz. The electric field in the wave has
maximum value of 2 V/m. If we define the time and position such
that the electric field has maximum value at position x=0 at
time=0, a possible equation describing the electric field is:
"⃗
a. ?=(2V/m)sin[(4.2x106 /m)x-(1.3x1015Hz)t]?̂
"⃗ ' b. ?=(2V/m)cos[(4.2x106 /m)x+(1.3x1015Hz)t]?
"⃗ ' c. ?=(1V/m)sin[(1.3x1015 /m)x-(4.2x106Hz)t]?
"⃗
d. ?=(4V/m)cos[(4.2x106 /m)x+(1.3x1015Hz)t]?̂
2. An electromagnetic wave traveling in the -x...
A plane electromagnetic wave traveling in the positive direction of an x axis in vacuum has...
A plane electromagnetic wave
traveling in the positive direction of an x axis in vacuum has
components Ex = Ey = 0 and Ez = (4.2 V/m) cos[(? × 1015 s-1)(t -
x/c)].(a) What is the amplitude of the magnetic field component?
(b) Parallel to which axis does the magnetic field oscillate? (c)
When the electric field component is in the positive direction of
the z axis at a certain point P, what is the direction of the
magnetic field...
A plane electromagnetic wave traveling in the positive direction of an x axis in vacuum has...
A plane electromagnetic wave traveling in the positive direction of an x axis in vacuum has components E_x = E_y = 0 and E_z = (4.3 V/m) cos[(pi times 10^15 s^-1)(t - x/c)].(a) What is the amplitude of the magnetic field component? (b) Parallel to which axis does the magnetic field oscillate? (c) When the electric field component is in the positive direction of the z axis at a certain point P, what is the direction of the magnetic field...
2. The electric field in a plane wave is described by the equation (k > 0):...
2. The electric field in a plane wave is described by the equation (k > 0): Ē(x,y,z,1)= E, sin(kz – mt)ị Answer the following questions about the wave. i. What direction is the wave traveling? Explain how you can tell from the equation for the electric field. ii. Write an expression for the magnitude of the magnetic field of the wave. iii. Calculate the average intensity of the wave if Eo = 3000 V/m. The MKS units of intensity are...
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
The figure below shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 48.0 m and the e field vibrates in the xy plane with an amplitude of 18.0 V/m. (a) Calculate the frequency of the wave. 6.25 MHz (b) Calculate the magnetic field B when the electric field has its maximum value in the negative y direction, magnitude. 0.13 What is the relationship between the amplitudes of the magnetic and electric fields in a...
13. I The displacement of a wave traveling in the positive x-direction is D(x, t) (3.5 cm) sin(2.7x 1241), where x is in m and t is in s. What are the (a) frequency, (b) wavelength, and (c) speed of this wave?
13. I The displacement of a wave traveling in the positive x-direction is D(x, t) (3.5 cm) sin(2.7x 1241), where x is in m and t is in s. What are the (a) frequency, (b) wavelength, and (c)...
Chapter 33, Problem 011 A plane electromagnetic wave traveling in the positive direction of an x axis in vacuum has components Ex = Ey = 0 and Ez = (4.4 V/m) cos[(11 x 1015 s-1)(t - x/c)]:(a) What is the amplitude of the magnetic field component? (b) Parallel to which axis does the magnetic field oscillate? (C) When the electric field component is in the positive direction of the z axis at a certain point P, what is the direction...
An electromagnetic wave traveling in the -x direction in vacuum
has a frequency 2x1014Hz. The electric field in the wave has
maximum value of 2 V/m. If we define the time and position such
that the electric field has maximum value at position x=0 at
time=0, a possible equation describing the electric field is:
"⃗
a. ?=(2V/m)sin[(4.2x106 /m)x-(1.3x1015Hz)t]?̂
"⃗ ' b. ?=(2V/m)cos[(4.2x106 /m)x+(1.3x1015Hz)t]?
"⃗ ' c. ?=(1V/m)sin[(1.3x1015 /m)x-(4.2x106Hz)t]?
"⃗
d. ?=(4V/m)cos[(4.2x106 /m)x+(1.3x1015Hz)t]?̂
2. An electromagnetic wave traveling in the -x...
A plane electromagnetic wave
traveling in the positive direction of an x axis in vacuum has
components Ex = Ey = 0 and Ez = (4.2 V/m) cos[(? × 1015 s-1)(t -
x/c)].(a) What is the amplitude of the magnetic field component?
(b) Parallel to which axis does the magnetic field oscillate? (c)
When the electric field component is in the positive direction of
the z axis at a certain point P, what is the direction of the
magnetic field...
A plane electromagnetic wave traveling in the positive direction of an x axis in vacuum has components E_x = E_y = 0 and E_z = (4.3 V/m) cos[(pi times 10^15 s^-1)(t - x/c)].(a) What is the amplitude of the magnetic field component? (b) Parallel to which axis does the magnetic field oscillate? (c) When the electric field component is in the positive direction of the z axis at a certain point P, what is the direction of the magnetic field...
2. The electric field in a plane wave is described by the equation (k > 0): Ē(x,y,z,1)= E, sin(kz – mt)ị Answer the following questions about the wave. i. What direction is the wave traveling? Explain how you can tell from the equation for the electric field. ii. Write an expression for the magnitude of the magnetic field of the wave. iii. Calculate the average intensity of the wave if Eo = 3000 V/m. The MKS units of intensity are...
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