Derive expressions for the surface current density and
surface charge density, for the TE10 and TE11 modes of a
rectangular waveguide.
The old answers on Chegg are either wrong or
incomplete, please dont copy them.
1. find (a)electric field and (b)magnetic field of TE
waves in a rectangular waveguide.
2. find (a)electric field and (b)magnetic field of
coaxial transmission line.
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 rectangular box with no top is to have a surface area of
64 m2. Find the dimensions (in m) that
maximize its volume.
I got width as X= 8sqrt3/3, length y=8sqrt3/3, and height as
z=4sqr3/3 but it is wrong and I don't know why
The ?? plane carries the surface free current density ?⃗⃗⃗
=?0?̂. The free current is centered within an infinite slab of
linear material of permeability ?. The slab has a thickness 2 ? and
is surrounded by free space. Find ?⃗⃗ , ?⃗⃗⃗ , ?⃗⃗⃗ , and the bound
current densities everywhere. [Hint: For planar currents try always
to draw a cross sectional view of the situation such that the
current is out of the page]
Consider a spherical shell with radius R and surface charge
density σ. By integrating the electric field, find the potential
outside and inside the shell. You should find that the potential is
constant inside the shell. Why?