PHYS 112 – General Physics II
Spring 2010
1
Name:
_______
HOMEWORK #1 – Due Friday, Jan 22
Section:
_______
Consider a uniformly charged ring in the
xy
plane, centered at the origin as in the figure. The ring has radius
a
and a
positive
charge
q
distributed evenly along its circumference.
a)
[1]
Represent the electric field
dE
created by a charge
element
dq
of the ring in the point P(0,0,
z
) arbitrarily
located on the
z
axis. Represent the vector component of
the field along the
z
axis. Denote it
dE
z
.
b)
[3]
Notice that, by symmetry, only this
z
component will
contribute to the net field produced by all elementary
portions of the ring. Write out a symbolical expression
for the
z
component
dE
z
in terms of
k
,
dq
,
a
and
z
.
c)
[3]
To calculate the net field, integrate
dE
z
over all circular charge.
d)
[1]
Consider
q
= 16 μC,
a
= 0.10 m and
z
=
h
=
a
/100. Calculate numerically the
magnitude of electric field in points
P
,
O
and
Pʹ
, and represent the respective vector
electric field in each point on the adjacent figure.
z
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 Spring '10
 Mari
 Force, Electric charge, charge element dq, respective vector

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