In an isotropic medium with a refractive index of n=2, electric field of an electromagnetic wave propagating along +y direction is on the xz plane as shown below. If the field amplitude is E.-5 V/m and frequency of the wave is v=2x10¹4 Hz derive a vector expression for the electric field of this electromagnetic wave (the magnitude of the electric field at the origin at t=0 is E/2. You can take the speed of light in vacuum as c=3x10 m/s). 60⁰ j EⓇ Z

For a certain electromagnetic wave in free space, at one instant the electric field vector points in the +z direction while the magnetic field vector points in the +x direction, as shown in the figure. In what direction is this wave traveling? B E +y +z +x -X -y

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.

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…