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,...

In a traveling electromagnetic wave, the electric field is
represented mathematically as E = E0
sin[(1.3 × 1010 s-1)t - (4.7 ×
101 m-1)x] where
E0 is the maximum field strength.
(a) What is the frequency of the wave?
(b) This wave and the wave that results from its
reflection can form a standing wave, in a way similar to that in
which standing waves can arise on a string (see Section 17.5). What
is the separation between adjacent nodes...

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?

An electric field traveling through vacuum can be described as a
plane wave E(r,t) = Eoexp[-i(ωt + k•z)]. (a) What is the angular
frequency, wavelength, wave number, velocity, direction of
propagation, and electric and magnetic field amplitude of this
light wave? (b) Write equations describing the electric and
magnetic fields in sinusoidal form, with all known quantities
expressed numerically. (c) Write equivalent equations in complex
exponential form. (d) What would be the maximum electric and
magnetic forces exerted by this...

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