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
EE 311 Homework 04
(Due Thursday, Feb. 9, Class Time)
Electric Potential, Electric Energy, Electric Field Lines,
Currents (7 questions)
1. (15 pts)
There are 1 nC charges in the XY-plane at (3, 4, 0), (3, 4, 0), (3, 4,
0), and (3, 4, 0). What is the poten
EE 311 Homework 03
(Due Thursday, Feb. 2, Class Time)
Gausss law, Work done by moving a point charge, Faradays
Law (7 questions)
1. (15 pts)
Find the charge distribution in free space that generates electric field
E=
( x + 5)ax + 2 ya y V/m.
2. (15pts)
=