Electrodynamics
Problem 1
Twelve wires, each of resistance r, are connected to form the edges of a cube.
Calculate
the effective resistance R of this network across a bodydiagonal of the cube.
Electrodynamics
Problem 2
Consider a capacitor connected to a battery of voltage V.
Let the capacitor have an area
A, and distance L between the plates.
Assume that the capacitor has a layer of dielectric
(of dielectric constant
κ
, so that
o
κε
ε
=
) of thickness L/2 on the lower plate, as shown in
the figure.
a)
Calculate the capacitance of the capacitor.
b)
Calculate the charge on the capacitor.
c)
Calculate the value of the electric displacement D in the capacitor.
d) Calculate the value of the electric field inside the dielectric layer, and in the air above
it.
e)
Calculate the electrostatic energy stored in the system.
How would it change if the
dielectric is removed?
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Electrodynamics
Problem 3
A loop of wire of resistance
R
and a coil of selfinductance
L
encloses an area
A
. A
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 Fall '1
 staff
 Resistance, Work, Magnetic Field, Electric charge, Fundamental physics concepts, Electrodynamics Problem

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