University of Windsor,
Electrical and Computer Department Summer 2015
0688432-EM Waves & Radiating Systems II R. Rashidzadeh
Homework # 1
Due on May 30, 2015 at 5:00pm
1-Given
zyx aaaA 425
find the expression for unit vector B if
(a) B is parallel to A
(b) B is perpendicular to A and B lies in xy-plane.
2- Given
zr aza
r
F 3
, find
S
SdF.
over the surface of closed cylinder about the z-axis specified by
2,3 rz
.
3- Given
zyx azycazxcazcyF 321 23
(a) Determine
0, 321 Fifcandcc
(b) Determine the potential function V whose negative gradient equals F.
4-Three infinite uniform sheets of charge, each with density
mC
s/10 9
are located at x=1,2,3 .
Determine E in all regions.
5-Consider two spherical conductors with radii
cmrandcmr21 21
that connected by a wire. A
total charge of Q is deposited on the spheres; assume the charges on the spherical conductors are
uniformly distributed.
(a) Find the charges on the two spheres
(b) Find the electric field intensity E at the spheres.
6-A cylindrical capacitor is defined by Length=L, Radius of the inner conductor=a, dielectric
permittivity=
and Radius of the outer conductor=b. Use
v
EdvEW 2
2
1
to:
(a) Find the energy stored in a cylinder capacitor
(b) Find an expression for the capacitance.
