Question

Starting from wave equations for the phasors of electric and magnetic fields, discuss the propagation of electromagnetic wave in a lossy media with a short essay of less than 300 words.

Answer #1

For electromagnetic wave propagation inside a good conductor,
show that the
electric and the magnetic fields are out of phase by 45
degrees.

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.

1. Magnetic fields come from
electric current or any electric field.
electric current or changing magnetic fields.
changing electric fields only.
electric current only.
2.
A charged object is able to attract
only neutral particles
neutral objects but not neutral particles
only charged objects
neutral objects and neutral particles

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...

discuss briefly the function of both electric and magnetic
fields on different types of particle accelerators

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...

Consider electromagnetic radiation from a sodium lamp at the
sodium doublet wavelengths propagating as a plane wave in free
space with amplitude E0 = 2.5 N/C.
Using your knowledge of electromagnetic waves, propose equations
for the electric and magnetic fields of the wave of one of the
lines of the sodium light doublet. Explain any assumptions that you
make.

8 a) Which direction does an EM wave travelling from a denser
medium (higher refractive index) to a rarer medium (lower
refractive index) refract to with respect to the normal to the
media boundary?
8 b) What are the possible values of the phase angle of the
reflection coefficient (θr) when the and electromagnetic wave
travels from one lossless dielectric medium to another lossless
dielectric medium at normal angle of incidence?
8 c) A plane wave travels from medium 1...

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