At the moment shown above, in what direction (a) does the magnetic field point, IN OR OUT?? Indicate this direction by drawing a symbol near the z axis. (b) Compute the numerical value of amplitude B of the magnetic field component pointing in the direction you found in part (a). (c) Write the wave function for the magnetic field component you referenced in part (a) and (b) in terms of B k, o, t, x and other symbols. m m

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Chapter16: Electromagnetic Waves
Section: Chapter Questions
Problem 46P: A plane electromagnetic wave of frequency 20 GHz moves in the positive y-axis direction such that...
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From a local TV station transmitter, a sinusoidal, plane electromagnetic
wave is normally incident on an open window that has area 0.501 m².
The wave travels to the right in the positive x direction at speed of light
c and the window is thus perpendicular to x-axis. See schematic below.
C
wave moves right
open window
Suppose the three electric field components have wave functions:
Ex = 0
=
Ey Esin(kx - oot)
Ez = 0
See the axes below. At the moment shown the electric field - indicated
by the vertically upward arrow - points in the positive y direction.
Assume the field magnitude EM
= 0.01000 V/m.
Assume the field magnitude E = 0.01000 V/m.
m
z (out)
(a)
At the moment shown above, in what direction
does the magnetic field point, IN OR OUT?? Indicate this
direction by drawing a symbol near the z axis.
(b)
Compute the numerical value of amplitude BM
of the magnetic field component pointing in the direction you
found in part (a).
(c)
Write the wave function for the magnetic field
component you referenced in part (a) and (b) in terms of Bm,
k, o, t, x and other symbols.
(d)
How much energy does this wave carry through
the window during 30.0 second TV commercial ?
Transcribed Image Text:From a local TV station transmitter, a sinusoidal, plane electromagnetic wave is normally incident on an open window that has area 0.501 m². The wave travels to the right in the positive x direction at speed of light c and the window is thus perpendicular to x-axis. See schematic below. C wave moves right open window Suppose the three electric field components have wave functions: Ex = 0 = Ey Esin(kx - oot) Ez = 0 See the axes below. At the moment shown the electric field - indicated by the vertically upward arrow - points in the positive y direction. Assume the field magnitude EM = 0.01000 V/m. Assume the field magnitude E = 0.01000 V/m. m z (out) (a) At the moment shown above, in what direction does the magnetic field point, IN OR OUT?? Indicate this direction by drawing a symbol near the z axis. (b) Compute the numerical value of amplitude BM of the magnetic field component pointing in the direction you found in part (a). (c) Write the wave function for the magnetic field component you referenced in part (a) and (b) in terms of Bm, k, o, t, x and other symbols. (d) How much energy does this wave carry through the window during 30.0 second TV commercial ?
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