Assume a lossless rectangular waveguide, with
a = 2 cm and b = 1 cm. Assume a free space within the
waveguide.
1. Determine the cut off frequencies, in ascending orders of
first
10 TEz and TMz Modes.
2. Draw field patterns ( E and H fields ) for the first 3 Modes
over
the xy-plane of rectangular waveguide. ( Show your work. )
Consider electric field of electromagnetic waves that are
parallel to plane of incidence
find
a) fractional ratio of reflected and refracted
fields relative to incident field
b) critical angle at which reflected wave vanishes
Suppose
Magnetic field B = B (z-direction)
Electric field E = E (y-direction)
B and E just a constant
An electron of mass m and charge -e, in these field. Solve for
the energy eigenvalues.
1 a) What is the approximate electric field strength and
magnetic field strength of the electromagnetic waves radiated by a
60-W lightbulb, as measured 5.5 m from the bulb? You can assume
that the bulb is 100% efficient in converting electrical energy to
light energy.
b.) Incandescent light bulbs are very inefficient. Find the
electric field strength and magnetic field strength assuming 5%
efficiency.
Please show all work, thank you!
1. How is the direction of the magnetic field that
accompanies a changing electric field related to the direction of
the changing electric field?
2. What is the main difference between the effects of electric
fields on charged particles and the effects of magnetic fields on
charged particles?
3. What is the relationship between the magntidue of the
electric and magnetic fields for an electromagnetic wave pulse
traveling in vacuum? And how is the direction of B that accompanies
a changing...
In a rectangular waveguide for which a = 1.5 cm, b = 0.8 cm, ? =
0, ? = ?o and ? = 4?o Hx = 2 sin
(?x/a) cos (3?y/b) sin (? x 1011t – ?z) A/m. Assume
TE13, determine other field components for this
mode.
A) Given an electric field:
Ei = ˆx100e−γ z V/m
Find
the associated magnetic field. ( Note: Ei is vector, and ˆx = x
hat)
B) if this field is normally incident on a uniform lossy medium
with Er = 3.0, tan δ = 0.1, and μ = μ0
Initially propagating in air, find
both the reflection and transmission coefficients.