Gauss’s Law: Spherical Clouds of Charge—Electric Field
Shown below are two clouds of charge, each of the same radius, R. The charge is uniformly distributed throughout each of the clouds.
One cloud has a total charge Q, and the other has a total charge 2Q.
Rank the labeled points from greatest to least in terms of the electric field magnitude at that location.
•
A
r=0
•
B
r=R
•
D
r=0
•
C
r = 2R
Q
•
E
r=R
•
F
r = 2R
2Q
Greatest 1 _______ 2 _______ 3 _______ 4 _______ 5 _______ 6 _______ Least
Or, the electric field is the same at all points. __________
Please carefully explain your reasoning.
How sure are you of your ranking?
Basically Guessed
1
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4
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8
9
Very Sure
10
© 2007 The College Board. All rights reserved. Advanced Placement Program, AP, and the acorn logo are registered
trademarks of the College Board. connect to college success is a trademark owned by the College Board. Visit the College
Board on the Web: www.collegeboard.com.
Gauss’s Law: Spherical Clouds of Charge—Electric Potential
Shown below are two clouds of charge, each of the same radius, R. The charge is uniformly distributed throughout each of the clouds.
One cloud has a total charge Q, and the other has a total charge 2Q.
Rank the labeled points from greatest to least in terms of the electric potential at that location.
•
A
r=0
•
B
r=R
•
D
r=0
•
C
r = 2R
Q
•
E
r=R
•
F
r = 2R
2Q
Greatest 1 _______ 2 _______ 3 _______ 4 _______ 5 _______ 6 _______ Least
Or, the electric potential is the same at all points. __________
Please carefully explain your reasoning.
How sure are you of your ranking?
Basically Guessed
1
2
3
4
5
6
7
8
9
Very Sure
10
© 2007 The College Board. All rights reserved. Advanced Placement Program, AP, and the acorn logo are registered
trademarks of the College Board. connect to college success is a trademark owned by the College Board. Visit the College
Board on the Web: www.collegeboard.com.
Gauss’s Law: Infinite Lines of Charge—Electric Field
Shown below are two infinite lines of charge, one of density +λ and the other of density +2λ.
Rank the labeled points from greatest to least on the basis of the magnitude of the electric field at each of the points.
+2λ
+λ
•
A
R=a
•
B
R = 2a
•
D
R=a
•
C
R = 4a
•
F
R = 4a
•
E
R = 2a
Greatest 1 _______ 2 _______ 3 _______ 4 _______ 5 _______ 6 _______ Least
Or, all the points have the same magnitude electric field. ___________
Please carefully explain your reasoning.
How sure are you of your ranking?
Basically Guessed
1
2
3
4
5
6
7
8
9
Very Sure
10
© 2007 The College Board. All rights reserved. Advanced Placement Program, AP, and the acorn logo are registered
trademarks of the College Board. connect to college success is a trademark owned by the College Board. Visit the College
Board on the Web: www.collegeboard.com.