Question

The plane wave is reflected at normal incidence by a perfect conductor in the plane z=0. What are the boundary conditions on E and B at the surface of the perfect conductor?

Give the electromagnetic plane wave E and B reflected from the conductor. Write in standing-wave form the total electromagnetic wave in the region 0<Z.

Answer #1

A right-handed circularly polarized (RHCP) electromagnetic wave
is normally incident on a perfect electric conductor (PEC).
(a) Calculate the reflection coefficient.
(b) What’s the polarization of the reflected wave?

Suppose that an electromagnetic wave which is linearly polarized
along the x−axis is propagating in vacuum along the z−axis. The
wave is incident on a conductor which is placed at z > 0 region
of the space. The conductor has conductivity σ, magnetic
permeability µ and electric permittivity ε.
(a) Find the characteristic time for the free charge density
which dissipates at the conductor.
(b) Write the Maxwell equations and derive the wave equation for
a plane wave propagating in...

Suppose that when illuminated by a plane wave at normal
incidence, an aperture diffracts into an
intensity pattern I(x, z) on a screen a long distance z away. We’ll
ignore the y-direction for simplicity.
What is the effect on the intensity pattern if the incident wave
makes a small angle with respect to the
x-axis? The answer should be reasonably obvious but you should
prove your answer mathematically.
ordinary Fraunhofer di raction, but with an oblique plane wave
source.

Consider a uniform plane wave impinging obliquely on an
air-to-glass (εr = 4.0) boundary from the air side of the boundary.
The boundary is flat and the dielectrics may be considered to be
infinite in extent on both sides of the boundary. The incident wave
is polarized in the plane of incidence. Find the incident angle for
which total absorption takes place. Would this also apply for a
wave which is polarized normal to the plane of incidence? If yes,...

Considering you have monochromatic plane electromagnetic wave
traveling (in a vacuum) in the positive z direction. Use Maxwell's
equation, show that:
C) The electromagnetic wave is transverse
D) the B and E fields are perpendicular to each other

A plane wave is incident from air upon the planar surface of a
dielectric material with a relative permittivity of 9 occupying the
half space of Z > 0. If this incident wave has a magnetic field
given as Hinc = (0.01ˆx − 0.02ˆz)e −j(2x+z)
(a) Find the electric field component of the transmitted
wave.
b) Find the average power density carried to the dielectric
medium
(c) What happens at the Brewster angle? Does this angle exist
for this polarization...

A plane electromagnetic wave varies sinusoidally at 98.2 MHz as
it travels through vacuum along the positive x direction.
The peak value of the electric field is 2.10 mV/m, and it is
directed along the positive y direction.
(a) Find the wavelength.
m
(b) Find the period.
ns
(c) Find the maximum value of the magnetic field.
pT
(d) Write expressions in SI units for the space and time variations
of the electric field. (x is in meters, and t...

Q.6 A plane electromagnetic wave varies sinusoidally at 90.0 MHz
as it travels along the + x direction. The peak value of the
electric field is 200 V/m, and it is directed along the +/- y
direction.
(d) Find the average energy density in the radiation.
(e) What average radiation pressure would this wave exert upon a
perfectly reflecting surface at normal incidence?
(f) What maximum acceleration would be imparted to a 500 g sheet
with dimensions of 1.00 m...

An electromagnetic wave from a wire antenna travels (from the
reader) toward the plane of the paper. At time t = 0.0 s it strikes
the paper at normal incidence. At point O and t = 0.0 s, the
magnetic field vector has its maximum value, 3.78×10-8 T, pointing
in the negative y-direction. The frequency of this wave is 1.03×106
Hz.
What is the x-component of the associated electric field E at
time t = 0.0 s? (Use the right-hand...

The plane monochromatic electromagnetic wave has frequency ?,
polarized in the positive ?-axis
direction moving towards the positive ?-axis direction. The
amplitude of the electric field is ?0, and
the start of time is chosen so that at ? = 0, the electric field
has a value ?0/2 at the origin.
Give answers with only the variables above and speed of light is c
and permittivity ?0.
a. Write the electric field of the wave.
b. Find the associated magnetic...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 38 seconds ago

asked 3 minutes ago

asked 3 minutes ago

asked 11 minutes ago

asked 13 minutes ago

asked 25 minutes ago

asked 27 minutes ago

asked 34 minutes ago

asked 40 minutes ago

asked 52 minutes ago

asked 57 minutes ago

asked 57 minutes ago