September 28, 2015
1. A slab of thickness 2d in the z-direction (!d z +d ) and
infinite in x and y contains a charge density (z) = 0 1
= 0 everywhere outside the slab (i.e., for ! z > d ).
1. Discussion 1: Divergence Theorem
(1) Griffiths 1.33
We will do the easier part first (i.e. integrate the divergence of v = xy
x + 2yz y
the volume). We first need to compute v which is in Cartesian coordinates is just:
xy 2yz 3zx
September 21, 2015
1. This is similar to the lecture example.
An infinitely long rectangular pipe runs parallel to the z-axis (from - to +). Three sides
are grounded (V = 0). The one at x = b is maintained at a specified
September 14, 2015
1. Find the general solution to Laplaces equation in cylindrical coordinates, assuming that
1 V 1 2V
there is no z-dependence. That is, solve this equation: 2V ( s, ) =
s s s s2 2
September 7, 2015
1. Poissons equation is very important in many areas of physics. Schrdingers equation in
quantum mechanics is a version of this equation. So, it is very important to understand the
various forms its solu
August 31, 2015
1. Consider an extension of the example on p. 14 of my lecture notes. Now, each of the objects
is described by its velocity, v , as well as its mass, charge and position. Write the possible
forms that the
August 24, 2015
1. The dot (inner) product.
a. Calculate the dot product of these two vectors: v1 = (1,3,5) , v2 = ( 2,4,6 ) . .
The dot product is: v1.v2 = v1xv2x + v1yv2y + v1zv2z = 12 + 34 + 56 = 44.
b. Calculate t
Phys 325 Midterm #1 Fall 2014
Fall 2014 Physics 325 Midterm Exam #1
Thursday Oct 2, 11:00 am 12:30 pm
This is a closed book exam. No use of calculators or any other electronic devices is allowed. Work the
problems only in your answer booklets only. The ex
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Due September 21, 2015
1. A point charge, q, is placed inside a hollow, grounded spherical shell of radius
R, a distance a away from the center, as shown. There is no other charge
besides q and what is needed on the sph
2. An air-filled torus is wound with N turns of wire. It has inner
radius a and outer radius b and a circular cross section of
a. Calculate its self-inductance.
Amperes law tells us that t
Due May 2, 2016
1. The current in a long solenoid (end view is shown) increases linearly with time, so the flux is
proportional to t: = t . Two ideal voltmeters (infinite resistance no current flows
through them) are conne
Due January 25, 2016
This is some math review.
Each problem is worth five points.
In this course, all HW problems will have the same value unless stated otherwise.
1. Calculate the line integral of the function v = 3zx + xzy + z 2
1. A grounded conducting sphere of radius R1 is wrapped in a
spherical shell of dielectric (r) of outer radius R2. It is placed
in an otherwise uniform external electric field, E0. Calculate
Due October 19
Due February 8, 2016
NOTE: Problem 4 is worth 10 points.
1. Use Gausss law to find the electric field inside and outside an infinitely long wire of radius
S. The (volume) charge density in the wire is a function only of the
Due February 29, 2016
1. Remember Physics 214: The electrons in a metal are confined to a finite depth square well.
This means that they penetrate a short distance into the forbidden region outside the metal.
The positive c