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# F16 PH333 7.3.4-7.3.6

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## Richard Datwyler

on 11 December 2017

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#### Transcript of F16 PH333 7.3.4-7.3.6

Maxwell's Equations
7.3.4 Magnetic Charge
7.3.5 Maxwell's Equations in matter
7.3.6 Boundary Conditions
Magnetic charge
It would be a cute symmetry, but not worth our time.
maybe some day we will find this, but I am a doubter.
Maxwell's Equations in matter
Boundary conditions
nothing new, just collection of all
review chapter 1
review Chapter 2
Review Chapter 3
Review Chapter 4
Maxwell's equations show us what happens anywhere, but it can be more convenient to include what happens to magnetized and polarized material.

recall
P
+
+
+
-
-
-
This movement of bound charge can make a current
Now we have 3 'current's
and only 2 charge densities
Gauss's law
(repeat)
Ampere's law has another current
Collected
Gauss's Law

Ampere/Maxwell

closed loop
closed loop
pill box
pill box
if linear
then
if no free charge or current all equal = 0
vectors
Dirac Delta
coordinate systems
Green's and Stokes's
Integrations (3 types)
product rule
transformation matrix
r, r`,
triple products
used often
know this
meh
meh
meh
used often
used often
used often
used often
meh
From this chapter polish up on your 'r' vectors.

review your coordinate systems and be able to take derivatives and integrations
Energy
Potentials
Gauss' Law
Charge distributional
Coulombs Law
Laplace Equation
Dipole
Multipole expansion
Spherical - Lagrangian
Cartesian
Separation of Variables
Method of Images
kind of part of chapter 4
review this
practice both
know this
meh
starting point
you will get a separation of variables problem Most likely with material from chapter 4, review these. The others would be a short problem.
Capacitors
Linear Dielectrics
Electric Displacement
Bound charges
Dipole Moment
Polarization
Dielectrics
Review this
main overview
these are nice too
nice Gauss law problems
know how to find these
main overview
Review Chapter 5
Multipole Expansion
Vector Potential
Amperes Law
Biot Savart Law
Current Densities
Lorentz Force
meh
More conceptual
meh
Review this
PH220 stuff
Review this
Review Chapter 6
Magnetization
Linear medium
H field
Bound currents
Dipole moment
Over view / conceptual
Nice stuff
Good Amperes loops
Know these
Review Chapter 7
Maxwell's equations
Displacement current
Ohm's Law
Energy
mutual
self
Inductance
E fields
currents
Induction
Emf
concept
Boundary conditions
know these for all
everything...!?!
conceptual
nice short problem
Good problem here
Know these
concept
Expect a few conceptual questions, a few short problems and a long problem form this chapter
starting place
review this
used in 3 and 4
review this
meh
"I've never been able to get boundary conditions down; can we go over how to apply them?"
"Can you go over quiz question 4 briefly? A reminder about Stokes' and Green's theorem might be nice."
"how can magnetic charge have a density"
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