1
Outline of solutions to Homework 1
Problem 1.3: For convenience we place the cube with one corner at the origin and the cube in the positive
quadrant. Then the vectors of the two body diagonals are
1
PHY481 - Lecture 8: Energy in a charge distribution, capacitance
Griths: Chapter 2
The potential energy of a charge distribution
The potential energy required to place a small charge q at position r
1
PHY481 - Lecture 9: Boundary conditions and forces at charged
surfaces
Griths: Chapter 2
Energy stored in a capacitor
Since we now know that the energy is stored in the electric eld we can nd the en
1
PHY481 - Midterm I (2009)
Time allowed 50 minutes. Do all questions - to get full credit you must show your working.
The general solutions to Laplaces equation with two co-ordinates allowed to vary
1
PHY481 - Midterm IB (2009)
Time allowed 50 minutes. Do all questions - to get full credit you must show your working.
The general solutions to Laplaces equation with two co-ordinates allowed to vary
1
PHY481 - Midterm II (2009)
Time allowed 50 minutes. Do all questions - to get full credit you must show your working.
Problem 1. a) Write down the integral and dierential forms of Maxwells equations
Magnetic Charge Transport
S. T. Bramwell
1
, S. R. Giblin2 , S. Calder1 , R. Aldus1 , D. Prabhakaran3 and T. Fennell4
arXiv:0907.0956v1 [cond-mat.other] 6 Jul 2009
1. London Centre for Nanotechnology
1
PHY481 - Review sheet for Midterm 1
Griths: Chapters 1-3
Electric Field
There are two types of charge and they interact through Coulombs law F =
1
4
0
qQ
r2 r
=
1
4
0
qQ
r3 r.
The interaction
betwee
1
PHY481 - Review sheet for Midterm 2
Griths: Chapters 5,7 and Sections 9.2.1, 9.2.2
Static magnetic elds: Static magnetic elds are generated by DC currents or by the intrinsic magnetic moment
of elem
b1f81430f69cff8baa42a6f53c877b8343a70cc0
AIR ASIA
AFFIN BANK
No Date
Close hpr
hpy
hpy-am (hpy-am)^2 affin
klci
Close
1 1-Jun-17
3.08
2.7
2 2-Jun-17
3.21 1.0422 0.0422 0.0408
0.0017 0.0005 (0.0003)
2.
1
PHY481 - Lecture 7: The electrostatic potential and potential energy
Griths: Chapter 2
B. Electric potential energy and electric potential
Physical denition
The electric potential energy (U) is the
1
PHY481 - Lecture 6: Gausss law
Griths: Chapter 2
Electric eld lines - Faradays ideas
An extremely useful concept in developing new ideas and results in EM is the concept of electric eld lines. An
el
1
PHY481 - Lecture 5: Electrostatics
Griths: Chapter 2
The basics: Coulombs law, the electric eld and superposition
Electrostatics is based on very simple principles, namely that (i) there are two typ
1
Outline of solutions to Homework 2
Problem 2.6: By symmetry, E = (0, 0, Ez ), and by superposition we have,
Ez =
k dQ()
cos() =
r2
2
R
k
0
0
sdds
cos()
r2
(1)
where r2 = s2 + z 2 and cos() = z/r. We
1
PHY481 - Outline of solutions to Homework 3
Problem 3.8: We consider a charge outside a conducting sphere that is neutral. In order that the sphere be neutral,
we have to introduce a new image charg
1
Outline of solutions to problem set 4
Problem 5.3: a) The electric and magnetic elds are perpendicular and they are constant. Take E = E0 z and
B = B0 x and the initial velocity to be v0 y . The ini
1
Outline of solutions to Homework 5
Problem 7.1: a) We set the voltage of the inner spherical shell to be V and the potential of the outer one to be
0, so the voltage dierence is V as required. By sy
1
Outline of solutions to Homework 6
Problem 4.22: Since the cylinder is a uniform dielectric, the electrostatic potential obeys Laplaces equation inside
and outside. From experience, we know the solu
1
PHY481 - Lecture 1 (Fall 2009)
Griths: Chapter 1 (up to roughly page 10)
A. A Brief History
Early observations of magnetic and electric properties include the lodestone which is a magnetic rock and
1
PHY481 - Lecture 2: Vector calculus
Griths: Chapter 1 (Pages 10-38)
The Gradient - A vector derivative operator
In Cartesian co-ordinates the change in a scalar function is,
df = dx
f
f
f
+ dy
+ dz
1
PHY481 - Lecture 3: Vector calculus
Griths: Chapter 1 (Pages 38-54), Also Appendix A of Griths
Vector calculus in three co-ordinate systems
We shall be using three orthogonal co-ordinate systems, ca
1
PHY481 - Lecture 4: Vector calculus in curvilinear co-ordinates
Griths: Chapter 1 (Pages 38-54), Also Appendix A of Griths
Scale factors h1 , h2 , h3
In general a set of curvilinear co-ordinates can