Question

For electromagnetic wave propagation inside a good conductor,
show that the

electric and the magnetic fields are out of phase by 45
degrees.

Answer #1

Use the complex forms for the electric and magnetic fields of an
electromagnetic plane wave in a linear dielectric material with
permittivity ε and permeability μ to find the ratio of the energy
density stored in the oscillating magnetic field to the energy
density stored in the oscillating electric field.

(a) Write down expressions for the electric and magnetic fields
of a sinusoidal plane electromagnetic wave having a frequency of 3
GHz and traveling in the positive x direction. The amplitude of the
magnetic field is 1 μT. b) Verify that E(x, t) = Ae^(i(kx-wt)) or
B(x, t) = C sinkxsinwt is a solution of the one-dimensional wave
equation; A and C are constants.

At one instant, the electric and magnetic fields at one point of
an electromagnetic wave are E?
=(220i^+300j^?60k^)V/m and B?
=(7.8i^?7.3j^+ak^)B0.
1) What is the value of a?
2) What is the value of B0?
3) What is the Poynting vector at this time and position? Find
the x-component.
4)Find the y-component.
5) Find the z-component.

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...

The electric field for a sinusoidal electromagnetic wave is
E = E0
sin(ky+wt) i
with E0 =40 V/m and k = 1.40E+8
m-1.
Select the direction of propagation for this wave.
Find the wave number of the wave.
Find the wavelength of the wave.
Find the period of the wave.
Find the frequency of the wave.
Find the angular frequency of the wave.
Find the speed of the wave.
Find the amplitude of the magnetic field.
For sinusoidal electromagnetic waves,...

Q 2. A 2 kHz electromagnetic propagates in a non-magnetic
medium having a relative
permittivity of 20 and a conductivity of 3.85 S/m. Determine
if the material is a
good conductor or otherwise. Calculate the phase velocity of
the wave, the
propagation and attenuation constants, the skin depth and the
intrinsic impedance.

If the magnetic field of an electromagnetic wave is in the
+-direction and the electric field of the wave is in the
+-direction, the wave is traveling in the
-x-direction.
-y-direction.
+z-direction.
xy-plane.
-z-direction.

At one instant, the electric and magnetic fields at one point of
an electromagnetic wave are E⃗
=(210i^+340j^−60k^)V/mE→=(210i^+340j^−60k^)V/m and B⃗
=(7.1i^−8.0j^+ak^)B0B→=(7.1i^−8.0j^+ak^)B0.
Part B
What is the value of B0B0?
Express your answer using two significant figures.
B0 =
μT
Part C
What is the Poynting vector at this time and position? Find the
xx-component.
Express your answer to two significant figures and include the
appropriate units.
Sx =
Part D
Find the yy-component.
Express your answer to two significant figures...

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?

The magnetic field is given by By = Bo sin(kz - ωt). If the
electromagnetic wave with a wavelength of 650nm is traveling in the
z direction, and the maximum magnetic field is 8mT
a. What is the Electric Field? (show trigonometric form)
b. What is the maximum Electric Field
c. What is the wave number?
d. What is the frequency?
e. Write out the Poynting vector and calculate the magnitude

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