Question

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 a conductor.

(c) Find the attenuation distance at which the incident amplitude reduces to e −1 of its initial value.

(d) Find the electric and magnetic fields inside the conductor.

(e) Find the power loss per area of the incident electromagnetic wave at the surface of conductor

Answer #1

Write the equation of 60* linearly polarized
electromagnetic plane wave with respect to y axis, the electric
field amplitude of 3V/m, wavelength of 600 nm in free space and
propagating along z direction.

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 plane wave of wavelength 100 nm is polarized along z direction
and travelling along -x direction with the electric field amplitude
of 300 V/m (in vacuum). The maximum value of wave is at t=0 and
x=0. Write the wave equation of magnetic field Calculate the
intensity and Poynting vector of electromagnetic wave.

A linearly-polarized sinusoidal electromagnetic wave propagates
in the –x direction. At a particular moment in time, the magnetic
field at point (–4, 0, 0) points in the –z direction. At that same
moment at (–4, 0, 0), what is the direction of the electric field?
Drawing a diagram should help. Group of answer choices –z direction
+z direction +y direction –y direction

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...

A sinusoidal electromagnetic plane wave is traveling in the +y
direction under water, with an index of refraction n = 1.33. The
wave is polarized along the z-axis and has a vacuum wavelength of
A_0 = 500nm.
A. What is the phase velocity of the wavefront in water?
B. What is the wavenumber of the electromagnetic wave in
water?
C. What is the linear frequency of the electromagnetic wave in
water?
D. If the electric field amplitude is 31.0 V/m,...

Consider a sinusoidal electromagnetic wave propagating in the +x
direction, whose electric field is parallel to the y axis. The wave
has wavelength 475 nm, and the electric field has amplitude 3.20 x
10^-3 V m-1. What is the frequency of the wave? What is the
amplitude of the magnetic field? What are the vector equations for
E(x,t) and B(x,t)?

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...

Al electromagnetic wave of 4.0 GHz has an electric field, E(z/t)
and a magnitude of E0 + = 120π.If the wave propagastes throguh a
material with conductivity σ = 7.5 x 10−3 S/m, relative
permeability µr = 1.0, and relative permittivity εr = 14.0:
a. Determine the constant of propagation, γ = α + jβ.
b. Determine the intrinsic impedance, η.
c. Determine the velocity oft he phase of the wave.
d. Determine the ”skin depth”.
e. Determine the value...

If the electric field in a plane electromagnetic wave is along
the y axis and its component is given
by Em sin(kx + ωt), in SI units, then the magnetic field is along
the z axis and its component
is given by:
A. (Em/c) cos(kx + ωt)
B. −(Em/c) cos(kx + ωt)
C. −(Em/c) sin(kx + ωt)
D. Em cos(kx + ωt)
E. (Em/c) sin(kx + ωt)
how and why b is wrong

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