14 Faradays law and induced emf
Michael Faraday discovered (in 1831, less than 200 years ago) that a changing
current in a wire loop induces current ows in nearby wires today we
describe this phenomenon as electromagnetic induction: current change
in the
Fields and waves in nature
and engineering the big
picture:
Fundamental building blocks of matter electrons and protons at atomic
scales interact with one another gravitationally and via electromagnetic
forces. These interactions are most conveniently des
ECE 329
Homework 2
Due: Tue, June 23, 2015, 5PM
H
R
1. Gausss law for electric eld E states that S E dS = 1 V dV over any closed surface S enclosing
o
a volume V in which electric charge density is specied by (x, y, z) C/m3 .
H
a) What is the electric ux
ECE 329
Homework 5
Due: Thu, July 2, 2015 5PM
This is a very short HW due on Thursday at 5 PM. Both questions are about magnetic elds which we
start discussing on Thursday in lecture. You can already start with this HW prior to Thursday since the
question
ECE 329
Homework 4
Due: Tue, June 30, 2014, 5PM
1. The gap between a pair of parallel innite copper plates extends from z = 0 to z = W > 0 and is
originally occupied by vacuum (o , o ). The plates carry equal and oppositely signed surface charge
densities
ECE 329
Homework 6
Due: Tue, July 7, 2015, 5PM
1. In this problem we will compare the magnitudes of electrical force qE and magnetic force qv B on
a moving test charge q due to elds E and B produced by another charge Q at some distance r.
Q
. Also let B t
ECE 329
Homework 3
1. Given that V (x, y, z) = 4x2 y + yz 2 and E =
Due: Fri, June 26, 2015, 5PM
rV , what is r E?
2. Is E = 2 + 4z 2 x a possible electrostatic eld? Discuss.
x
y
3. An important vector identity which is true for any vector eld A(x, y, z)
ECE 329
Homework 2+
Due: Tue, June 23, 2015, 5PM
1. Optional problem: This optional problem guides you through the full solution of the electrodynamics problem P6 from HW1 where we only focused on the DC part of the dynamics. Here is the
full problem stat
ECE 329
Homework 1
Due: Fri, June 19, 2015, 5PM
1. Review of vectors: Consider the 3D vectors
A = x
y + z,
B = (1, 2, 3),
C = 3
x
y + 2,
z
where x (1, 0, 0), y (0, 1, 0), and z (0, 0, 1) constitute an orthogonal set of unit vectors
directed along the pr