PROBLEM (1) (20 points)
An insulating solid sphere of radius a has a uniform volume charge density .
!
Express your answers in terms of some or all of the given quantities and
related constants as needed.
a
(a) (6 pts) Using Gauss's law, find the magnitud
PROBLEM (1) (25 points)
Two square plates of sides L are placed parallel to each other with separation d
such that L > d. The plates carry uniformly distributed static charges +Q0 and
Q0. A metal block has width L, length L, and thickness slightly less th
PROBLEM (1) (20 points)
y
An infinite flat slab of nonconducting material has thickness
Slab
2L and a uniform volume charge density +. Take the x axis
+!
to be along the direction of the slab's thickness with the
C
3L L O
origin at the center of the slab.
PROBLEM (1) (25 points)
y
A thin glass rod is bent into the shape of a semicircle of radius R. A
negative charge Q is uniformly distributed along the rod. It is placed
in the xy-plane with its center at the origin, as shown in the figure.
Q
Express your a
PROBLEM (1) (25 points)
A
Two cylindrical wires A and B are made of different
B
materials and each have length LA = LB = L. Wire A and B
have the diameters DA = 2D and DB = D and
resistivities
A = and B = 3, respectively. The wires are joined as
shown in
PROBLEM (1) (25 points)
Positive charge Q is distributed uniformly along a thin glass
y
rod of length L which lies along the x axis between x = L/2
and x = +L/2. An electron of mass m and charge e is placed
+
on the positive x axis at x = L/2 + r, a const
PROBLEM (1) (25 points)
A parallel plate capacitor of plate separation d is half filled
with a dielectric slab of dielectric constant K = 5, as shown
Air
d/2
d
in the figure. With the slab in place, it is charged to a
K
potential difference V and then dis