Physics 3030 E&M Homework
Separation of Variables Spherical Coordinates
(Griffiths Chapter 3)
Question 1. Parallel plate capacitor and Legendre polynomials
A parallel-plate capacitor produces the uniform field described by the A1 term in
Bl
the Legendre-p
Physics 3030 Electricity & Magnetism
Take Home Exam 1
This take-home exam is due Monday February 10 at 6:00pm. The
exam consists of the problems and essays listed below. You may use
any reference you can find but you may not help each other or seek
assist
Physics 3030 E&M Homework
Method of Image
(Griffiths Chapter 3)
Question 1. Equipotentials at corners of metal sheet
Locate two charges q each and two charges q each on the corners of a square,
with like charges diagonally opposite on another. Show that t
Physics 3030 E&M Homework
Conductors (Griffiths Chapter 2)
Question 1. Charge distribution on ball near metal cylinder
A small aluminum ball hanging from a thread is placed at the center of a tall
metal cylinder and a positively charged plastic rod is bro
Physics 3030 E&M Homework
Capacitors (Griffiths Chapter 2)
Question 1. Coax capacitors
In Problem 2.16 you found the E field everywhere in and around a coaxial cable.
We can slightly modify that problem, making it more realistic by letting the inner
cylin
Physics 3030 Electricity & Magnetism
Take Home Exam 2
This take-home exam is due Monday March 3 at 6:00pm. The exam consists of
the problems and essays listed below. You may use any reference you can find
but you may not help each other or seek assistance
Physics 3030 Electricity & Magnetism
Take Home Exam 3
This take-home exam is due Monday April 14 by 6:00pm. The exam consists of
the problems and essays listed below. You may use any reference you can find
but you may not help each other or seek assistanc
Physics 3030 E&M Homework
Work and Energy
(Griffiths Chapter 2)
Work & Energy
Question 1. Energy of point charge distribution
Imagine a small square (side "a") with four point charges +q, one on each corner.
Calculate the total stored energy of this syste
Physics 3030 E&M homework
Laplaces Equation
(Griffiths Chapter 3)
Question 1. Taylor series and Laplace
Let ( x, y, z ) be any function that can be expanded in a power series around a
point ( x0 , y0 , z0 ) . Write a Taylor series expansion for the value
Physics 3030 E&M Homework
Separation of Variables Cartesian
(Griffiths Chapter 3)
Question 1. Separation of variablesV=0 on this surface
y
Cartesian 2D
V
A square rectangular pipe (sides of length a)
V=V0 (constant)
=0
runs parallel to the z-axis (from -