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Physics 202
Assignment 3
Due at 11:00pm on Wednesday, February 13, 2008
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Electric Fields and Equipotential Surfaces
Description:
Find the work done to move a unit charge from and to given points on a diagram showing equipotential surfaces,
and compare the magnitude of the electric field at these points.
The dashed lines in the diagram represent cross sections of equipotential surfaces drawn in 1
increments.
Part A
What is the work
done by the electric force to move a 1
charge from A to B?
Part A.1
Find the potential difference between A and B
What is the potential difference
between point A and point B?
Hint A.1.a
Equipotential surfaces
Recall that an equipotential surface is a surface on which the electric potential is the same at every point.
Express your answer in volts.
ANSWER:
=
Hint A.2
Potential difference and work
Recall that the potential difference (in volts) between a point
and a point
equals the work (in joules) done by the electric
force to move a 1
charge from
to
.
Express your answer in joules.
ANSWER:
=
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Part B
What is the work
done by the electric force to move a 1
charge from A to D?
Part B.1
Find the potential difference between A and D
What is the potential difference
between point A and point D?
Express your answer in volts.
ANSWER:
=
Hint B.2
Potential difference and work
Recall that the potential difference (in volts) between a point
and a point
equals the work (in joules) done by the electric
force to move a 1
charge from
to
.
Express your answer in joules.
ANSWER:
=
Part C
The magnitude of the electric field at point C is
Hint C.1
Electric field and equipotential surfaces
Since the diagram shows equal potential differences between adjacent surfaces, equal amounts of work are done to move a
particular charge from one surface to the next adjacent one. It follows then that if the equipotentials are closer together, the
electric force does the same amount of work in a smaller displacement than if the equipotentials were farther apart.
Therefore, the electric force, as well as the corresponding electric field, has a larger magnitude.
ANSWER:
greater than the magnitude of the electric field at point B.
less than the magnitude of the electric field at point B.
equal to the magnitude of the electric field at point B.
unknown because the value of the electric potential at point C is unknown.
Exercise 23.14
Description:
Identical point charges q = 15.00mu C are placed at opposite corners of a square. The length of each side of the
square is 0.200 m. A point charge q_0 =  2.00mu C is placed at one of the empty corners. (a) How much work is done on q_0
by the...
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 Spring '09
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 Potential difference, Electric charge, Equipotential surfaces

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