ECE 311
Spring 2015
HW Sets 25-27
Set 25: Due Thursday, April 23
25.1. A short, linear dipole antenna in air lies along the z-axis, is 3 cm long, and is driven by a
current of amplitude 5 A at a frequency of f = 100 MHz. The antenna consists of a copper w
ECE 311
Spring 2016
HW Sets 9-10
Set 9: Due Wednesday, February 3 (Materials)
9.1. In the figure, we show a charge Q in
the cavity inside the conductor (a and b),
or outside the conductor (c). The
conductor is shown as the shaded area,
and is electrically
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ECE 311
Spring 2016
HW Sets 11-13
Set 11: Due Monday, February 8 (Electrostatic Energy, Forces)
11.1. Consider a spherical charge of density v, radius b, and permittivity = 20. The region
outside the sphere is charge free and of permittivity = 40. Determi
ECE 311
Spring 2016
HW Sets 5-7 8
Set 5: Due Monday, January 25 (Coulombs Law)
5.1. Determine the electric field E at the point r = (1, -1, 2) nm due to a charge q = +e located at
r
= (1, 0, 1) nm , where e 1.602 1019 C is the fundamental unit of charge.
ECE 311
Spring 2016
HW Sets 1-4
A a x a y 2az
Set 1: Due Wednesday, January 13
B 5a x + 2a y 2a z
1.1. Using the vectors B and C listed in Table 1, determine
the magnitude of B 2C.
1.2. (a) Determine the angle between the vectors A and B.
C 2a x 4a y 3a z
ECE 311 Homework #2
Due Friday September 12
(2 pts) Problem 1: A sphere of radius 2 m has a surface charge density of
S =2 C2 . What is the total charge on the surface of the
m
sphere?
(4 pts) Problem 2: There are 1 nC charges at ( 2, 2, 0) , (1, 0, 0) ,
ECE 311 Homework #1
Due Wednesday September 3
Problem 1: If A = 2ax + 4 a y 3az , and B = 1ax + 2a y +1az
(a) find A + 2B
(b) find B A
(c) find A
(d) determine A B
(e) determine A B
(f) find a unit vector in the direction of A B
Problem 2: Find a unit vec
ECE 311 Homework #4
Due Monday October 6
(2 pts) Problem 1: A beam of Ar + ions is moving with velocity
m
. If the density of the
u= 5 ax
ions is 3x1014 m 3 , what is the current density?
s
Ar +
(4 pts) Problem 2: An object is 10 cm long with a square cr
ECE 311 Homework #7
Due Wednesday November 5
(6 pts) Prob 1: A piece of copper has a current flowing of 27 A as shown.
Everywhere is a uniform magnetic flux density of B=1 T a z .
A Hall voltage of V(0) V(10 2 m) = 2x10 6 V is measured.
A) With what avera
CHAPTER 1
1.1. Given the vectors M = 10ax + 4ay 8az and N = 8ax + 7ay 2az , nd:
a) a unit vector in the direction of M + 2N.
M + 2N = 10ax 4ay + 8az + 16ax + 14ay 4az = (26, 10, 4)
Thus
a=
(26, 10, 4)
= (0.92, 0.36, 0.14)
|(26, 10, 4)|
b) the magnitude of
CHAPTER 1 1.1. Given the vectors M = -10ax + 4ay - 8az and N = 8ax + 7ay - 2az , find: a) a unit vector in the direction of -M + 2N. -M + 2N = 10ax - 4ay + 8az + 16ax + 14ay - 4az = (26, 10, 4) Thus a= b) the magnitude of 5ax + N - 3M: (5, 0, 0) + (8, 7,
ECE 311
Spring 2016
HW Sets 14-16
Set 14: Due Monday, February 15 (Method of Images)
14.1. Consider a charge Q located close to
conducting planes, as shown in the figure.
In each case, the conductors extend to
infinity. Identify the charge and location of