Physics 21
Fall 2007
Solution to HW6
Electric Fields and Equipotential Surfaces
The dashed lines in the diagram represent equi
potential lines drawn in 1 volt increments. (A)
What is the work done by the electric force to
move a 1 C charge from
A
to
B
? (B) What is the
work done by
E
to move a 1 C charge from
A
to
D
? (C) The magnitude of
E
at point
C
is ...
(A) zero;
A
and
B
are on same equipotential surface. (B) 1 volt x
1 C = 1 Joule (C) (first option), "greater than the magnitude of
E
at
point
B,
" because the equipotential lines are closer together at
C
.
23.47
In a certain region, the electric potential is
V
(
x,y,z
) =
Axy

Bx^
2
+Cy
, where
A, B
, and
C
are positive constants. Find
E_x, E_y
,
and
E_z
. Where is the potential zero (multiple choice)?
24.2
The plates of a parallel plate capacitor in a vacuum have a
separation of
d
, and each has an area of
A
. Each plate carries a
charge
Q
. What is (A) the capacitance, (B) the potential difference,
and (C) the magnitude of the field between the plates?
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 Spring '08
 Hickman
 Charge, Electric Fields, Force, Work, Potential difference, Electric charge, Parallel Plate Capacitor

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