Question

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 of the magnetic field, H(z,t) and the direction it points at.

Answer #1

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.

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,...

The electric field of a sinusoidal electromagnetic wave obeys
the equation
E=−(350V/m)sin[(5.89×1015rad/s)t+(1.96×107rad/m)x]E=−(350V/m)sin[(5.89×1015rad/s)t+(1.96×107rad/m)x].
a)what is the amplitude of the electric field of this wave?
b)what is the amplitude of the magnetic field of this wave?
c) what is the frequency of the wave?
d)what is the wavelength of the wave?
e) what is the period of the wave?
f) speed of the wave?

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