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Homework 12 Due April 10 20067
1) Consider an insulating sphere of radius
R
, uniform charge density
ρ>0
and center at
the origin.
a) Use Gauss’s law to obtain an expression for the electric field vector at points inside the
sphere. Draw a diagram of the Gaussian surface that you use in the derivation.
b) Suppose I drill a narrow hole (which does not change the electric field) through the
diameter of the sphere. If I drop a particle with charge
–Q
and mass
m
into the hole, show
that the motion of this particle will be simple harmonic motion. What is the period of this
motion?
2) Two identical insulating spheres with total charge
+Q
uniformly distributed
throughout the volume and radius
R
are touching. If we take the xaxis to be the line
connecting the centers of the spheres as shown, What are the electric field
vectors
at each
of the points A(R,0), B(0,R), C(R/2,0) and D(0,R/2)?
B
●
D
●
x
y
C
●
A
●
R
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View Full Document Homework 12 Due April 10 20067
Solutions
2)a)Because of the spherical symmetry, the electric field points outwards from the center.
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This homework help was uploaded on 03/26/2008 for the course PHYS 221 taught by Professor Herrerasiklody during the Spring '08 term at Iowa State.
 Spring '08
 HerreraSiklody
 Charge, Work

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