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Physics 4321
Homework Set 5
October 5, 2008
Due: October 13, 2008
1. In class, we considered finding the potential
V
everywhere outside a grounded conducting
sphere when a point charge was located a distance
a
from the center of the sphere.
Suppose the
sphere were held at constant potential
V
o
instead of being grounded.
(a) Where would you place
a second image charge and how large should it be to solve for the potential everywhere outside
the sphere?
(b) Write an expression for the potential everywhere outside the sphere.
2. An infinitely long straight wire carrying a linear charge density
λ
is placed a distance
d
above
a grounded conducting plane.
Assume the conducting plane lies in the xy plane and that the line
charge is along the x axis.
(a) Find the potential in the regions above the plane.
(b) Find the
charge density induced on the conducting plane.
3. Two semiinfinite grounded, conducting planes meet at right angles.
A
point charge
q
is located a distance
a
from the x = 0 plane and a distance
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This note was uploaded on 02/20/2012 for the course PHYS 1101 taught by Professor Lowellwood during the Fall '10 term at University of Houston.
 Fall '10
 LOWELLWOOD
 Charge, Work

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