A point source emits monochromatic electromagnetic waves into air uniformly in all directions. At a distance of 5 m away from the source you detect the wave with an electric field amplitude of 20 V/m. Determine the amplitude of the electric field (in V/m) at a distance 40 m. Moving to another question will save this response.
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- Use phasor-form Maxwell’s equations to solve the following problems:If the satellite antenna now transmits a 35kW signal, what is the maximum value of the electric field in 10 − 3 V/C?How does the intensity of an electromagnetic wave depend on its electric field? O It is proportional to the time average of the electric field strength squared O It is proportional to the time average of the electric field strength O It does not depend on the electric field It is proportional to the instantaneous electric field strength
- 2. (a) Write general complex exponential expressions for two electric field waves (1 and 2) shown below. Both are plane waves with the same wavelength 2, frequency w, and polarization. (b) Derive an expression for the irradiance (I) of the combination of these two fields. Assume 0 <<1 rad.From a local TV station transmitter, a sinusoidal, plane electromagnetic wave is normally incident on an open window that has an area of 0.510m2. The wave travels to the right in the positive x-direction at the speed of light c and the window is thus perpendicular to the x-axis. See the schematic. Suppose the three electric field components have wave functions: EX = 0 EY = Emsin(kx-ωt) 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. The Erms (root mean square) of the electric field would thus be Erms = 0.00707 V/m. (a) At the moment shown above, in what direction does the magnetic field point? 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.A 4.25 m diameter university communications satellite dish receives TV signals that have a maximum electric field strength (for one channel) of 7.5 μV/m . (a) What is the intensity of this wave in W/m2? (b) What is the power received by the antenna in W? (c) If the orbiting satellite broadcasts uniformly over an area of 1.50 × 1013 m2 (a large fraction of North America), how much power does it radiate in W?An electromagnetic wave comes from the air obliquely to the surface of a dielectric material with a dielectric constant of 12.162 .What is the Brewster angle at which there will be no reflection for parallel polarization? A)48 B)74 C)36 D)78 E)60( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).From a local TV station transmitter, a sinusoidal, plane electromagnetic wave is normally incident on an open window that has an area of 0.510 m2. The wave travels to the right in the positive x-direction at the speed of light c and the window is thus perpendicular to the x-axis. See the schematic. Suppose the three electric field components have wave functions: EX = 0 EY = Emsin(kx-ωt) 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. The Erms (root mean square) of the electric field would thus be Erms = 0.00707 V/m. (a) At the moment shown above, in what direction does the magnetic field point? Indicate this direction by drawing a symbol near the z-axis. Compute the numerical value of amplitude Bm of the magnetic field component pointing in the direction you found. (b) Write the wave function for the magnetic field component you referenced in…