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# F16 PH 333 2.5.1-2.5.4

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## Richard Datwyler

on 9 October 2018

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#### Transcript of F16 PH 333 2.5.1-2.5.4

Conductors
2.5.1 Conductors
2.5.2 Induced Charges
2.5.3 Surface charges and forces
2.5.4 Capacitors

Properties of conductors
Free electrons (not bound to atoms)
E = 0 inside a conductor (electrostatics)
The E field is perpendicular to the surface (just above it)
The conductor is an equal potential
All net charge is on the surface(s)
Charge density is also zero inside (net charge)
Instantaneous movement of Electrons
Induction of charge
Charges relocate due to force on them, until the E field is 0 inside conductor.
+q
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outside
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Electrostatic pressure
E is discontinuous at the surface.
Force on surface charges
but which E field
Average E field
find E field above and below a infinite sheet of uniform charge density sigma.
In conductor
force per area
pressure
Capacitor
This is a measure of how much charge can a conductor hold for a given potential.
It is purely geometric
It also can hold energy (or takes energy to charge it up)
Practice
Find the capacitance per unit length of two coaxial metal cylindrical tubes of radii a and b, Let the inner tube have a charge of Q and the outer have a charge of -Q for a given length L.
+q
"How does the charge on the outer surface of a conductor take into account the charge of the conductor and any trapped point charges in internal cavities? Does it have to do with the E field from the trapped charge and the repulsive/attractive force that it would have on the charges in the conductor?"
"Can you please talk a bit more on capacitance? Thank you!"
"Can we go over the math in section 2.5.3 "Surface Charge and the Force on a Conductor" conceptually?"
"Can you explain how a grounded Faraday cage works both with and without using math."
"I am pretty confused with questions 1 and 5 on the quiz, can we go over those in class?"
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