An electromagnetic plane wave in air is propagating in the +z direction. Its peak E-field vector is at 45 degrees to the x, y axes, and given by E0 = (2000, 2000, 0) V m-1. What is the corresponding vector for the H field, in Amps m-1?
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- RF Electromagnetics: . If an x-component of the E-field varies as a sine function, and y-field component varies as a cosine function; assuming that the Ex=0.7Ey, what is the polarization of the resultant wave whichpropagates in the positive z-direction. For frequency f, write the full expression for the electricfield of a plane wave propagating in vacuum.What is the maximum value (in units of N/C) of the electric field Emax in an electromagnetic wave propagating in vacuum whose average intensity is I = 4 %3D W/m2?Suppose you have an electric field as a result of superposition of two waves given by Ē(z, t) = Eo cos(kz - wt) + Eo cos(kz + wt)â. a. Simplify Ē(z, t) as one term and find its associated magnetic field b. Find the instantaneous and time-averaged energy density.
- There is a vector defined by John Henry Poynting in 1884 whose direction gives the direction that an electromagnetic wave transmits its field energy and whose magnitude is the rate at which energy is being transmitted per square meter of the wavefront. For mutually perpendicular E- and B-fields in the wave, the magnitude of the Poynting vector is S =EB/mu0 and the direction is given by a right-hand rule, curling fingers from E vector and B vector. a) Carefully analyze the units of the Poynting vector and show that they are indeed watts per square meter. b) Find the intensity of the light in a beam of light whose electric field strength is 360 N/C and whose magnetic field is 1.2 muT.Problem 8: In electromagnetic scattering by an infinite cylinder of radius a, under certain conditions, the time-harmonic electric field is given by E = u(p, ø) î, where u satisfies the Helmholtz wave equation 1 ди 1 02u + k?u = 0, 0 < 0< 27 0From 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…