Engineering 6813 Tutorial 6
(Plane Waves I: Lossless and lossy media)
y
1. A magnetic eld intensity in free space is given as H = 10 cos(108 t x) A/m.
Find (a) ; (b) ; (c) ; (d) E ; (e)P ; (f)Pavg .
2. The phasor magnetic eld intensity for a 400 MHz unifo
Engineering 6813 Tutorial 7
(Plane Waves II: Conductors and Reection)
1. A wave described by Es = (7500 30 )ez x V/m is travelling in a dielectric for
which = 20 pF/m, = 5 mH/m, and = 10 0/m at a radian frequency of
= 108 rad/s. Determine (a) E and evalu
Engineering 6813 Tutorial 4
(Force, Torque, and Magnetic Boundary Conditions)
1. An innitely long lamentary conductor located on the z-axis carries a current
I in the z direction. An identical lament passing through the point (0, d, 0)
and parallel to the
Engineering 6813 Tutorial 3
(A review of Amperes Law and Magnetic Force)
1. A long straight wire of radius a lies along the z axis and carries a current I in
the. direction. Determine the magnetic ux density inside and outside the
z
wire. Sketch the eld a
Engineering 6813 Formulae and Data
x
y
z
2
2
2
2
+ 2+ 2
2
x
y
z
A=
A=
sin
cos
0
cos
sin
0
A
z
0
0
1
A dS =
;
z
A
A
Az
( A) = 0;
A=
;
z
A=
1
A dv ;
A =
V
1 V + z V
+
z
y
; = cos1
= tan1
x
V =
A=
;
( A)
C
A dS
S
1 2
1
1 A
(r Ar ) +
(A sin ) +
r
Engineering 6813 Tutorial 2
Fall 2007
(A review of Amp`res Law, Biot-Savart Law and Stokes Theorem)
e
1. An innitely long, thin conducting sheet dened over the space 0 x a and
y is carrying a current with a uniform surface current density of K = y 5 A/m.
Engineering 6813 Tutorial 8 (Transmission Lines)
Fall, 2007
1. At a frequency of 80 MHz, a lossless transmission line has a characteristic impedance of 300
and a wavelength of 2.5 m. (a) Find L. (b) Find C. (c) If the line is terminated in a parallel
com
Unit 2
Time-Varying Fields and
Maxwells Equations
While the Gauss law forms for the static electric and steady magnetic eld equations
remain essentially unchanged for the case of time-varying elds, the remaining two
equations (see summary on page 20 of Un
Unit 4
Applications
4.1
Transverse Electromagnetic (TEM) Transmission Lines
In this unit, we shall consider structures used to guide electromagnetic signals. Such
a structure is referred to as a transmission line (TL). Examples include telephone
wires, co
Unit 3
The Uniform Plane Wave and
Related Topics
3.1
The Helmoltz Equation and its Solution
In this unit, we shall seek the physical signicance of the Maxwell equations, summarized at the end of Unit 2, in a more general manner. That is, we ask the questi
Unit 1
Relevant Electrostatics and
Magnetostatics (Old and New)
The whole of classical electrodynamics is encompassed by a set of coupled partial
dierential equations (at least in one form) bearing the name Maxwells Equations.
On the basis of material alr
Engineering 6813
Tutorial 1 (Review of Electrostatics)
1. The potential at a certain point in free space is given by
(502 cos )
=
V
(z + 1)
At the point P (4, , 2) determine (a) the electric ux density; (b) the charge
6
density; (c) the value of the Lapla