For a homogeneous dielectric medium with the refractive index of n(w), if the polarization of the plane wave solution (at the frequency w) that propagates in the direction is orthogonal to the z-direction (i.e., E · 2 = 0) and E = E,, please determine (a) the electric field E and the magnetic field H for the plane wave, and (b) the energy flux (the energy transfer per unit area per unit time) across the z=0 plane for the considered plane wave.
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- A plane electromagnetic wave, with wavelength 5 m, travels in vacuum in the positive direction of an x-axis. The electric field, of amplitude 450 V/m, oscillates parallel to the y-axis. What are the (a) frequency, (b) angular frequency, and (c) angular wave number of the wave? (d) What is the amplitude of the magnetic field component? (e) Parallel to which axis does the magnetic field oscillate?The electric field of an electromagnetic plane wave traveling in a vaccum is described by E(x,y,z,t) = 200 (V/m)ex*ei(ky-ωt) with k = 1.0 * 107/m and ω = 3 * 1015 rad/s Find the vector expression that describes the corresponding magnetic field of this wave.field in α X [(4.0× 10¹5 S-¹) (1 - 1)] The magnetic electromagnetic wave is given by, B = (200 µT) sin(4.0× 10¹5 s-¹) (t plane Find the average energy density corresponding to the electric field.
- The magnitude of the electric field between the two circular parallel plates in the figure isE = (3.8 × 104)-(6.6 × 105t),with E in volts per meter and t in seconds. At t = 0, the field is upward. The plate area is 4.7 × 10-2 m2. For t > 0, what is the magnitude of the displacement current between the plates?Which of the following accurately describes Gauss's law for the electric field and magnetic field? The net electric flux through a closed surface is proportional to the charge enclosed by the surface whilethe net magnetic flux through a closed surface is always zero. The net electric flux through a closed surface is always zero whilethe net magnetic flux through a closed surface is proportional to the current enclosed by the surface. The net electric flux through a closed surface is proportional to the charge enclosed by the surface whilethe net magnetic flux through a closed surface is proportional to the current enclosed by the surface. Both the net electric flux and the net magnetic flux through a closed surface are always zero.Electromagnetic fields and waves
- A plane electromagnetic wave, with wavelength 2.9 m, travels in vacuum in the positive direction of an x axis. The electric field, of amplitude 420 V/m, oscillates parallel to the y axis. What are the (a) frequency, (b) angular frequency, and (c) angular wave number of the wave? (d) What is the amplitude of the magnetic field component? (e) Parallel to which axis does the magnetic field oscillate? (f) What is the time-averaged rate of energy flow associated with this wave? The wave uniformly illuminates a surface of area 2.8 m2. If the surface totally absorbs the wave, what are (g) the rate at which momentum is transferred to the surface and (h) the radiation pressure? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units (e)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.An electromagnetic wave is traveling out of the page (normal to page) towards you with itselectric field osscilating along the horizontal. If the peak electric field in an electromagnetic waveis 754 µV/m, what is the peak magnetic field for the same wave and the direction of the magneticfield?