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Physics 33 Final Exam
Name
________________________
Monday, December 3, 2001
This test is closed book, closed notes.
No calculators, please.
You may use a 3” by 5”, handwritten note card.
For numerical calculations,
you must use only those values provided on this test paper
.
Some of these numbers have been
approximated for ease of calculation.
charge of electron e
=
– 1.6 x 10
–19
C
mass of electron m
e
=
9 x 10
–31
kg
permittivity constant
ε
0
=
9 x 10
–12
C
2
/Nm
2
mass of proton m
p
=
1.7 x 10
–27
kg
Coulomb constant k
=
9 x 10
9
Nm
2
/C
2
magnetic permeability
μ
0
=
4
π
x 10
–7
Tm/A
index of refraction of air n
air
=
1.00
•
If
any
numerical values are given in a problem, a numerical answer is expected. You do not need to convert fractions to
decimals, and you can leave any
π
’s in answers as
π
.
You do not need to convert fractions to decimals or reduce square
roots of nonperfect squares.
I would appreciate it, however, if you would reduce fractions.
•
For full credit, you must explain or show how your answers are obtained.
Do not state the result of a homework, in
class, or textbook problem without proof!
•
What to do if you run out of room on a page:
FLIP your test and write on the back.
(Which means you shouldn’t write
on the back of the page on which you just ran out of room!)
This test has 7 numbered questions on 7 pages.
Check that you have all pages!
1)
(6 points)
I)
Two point charges +Q and –Q are separated by a distance D.
At a point a distance z above the
point halfway between the charges: a) Draw and carefully label vectors showing the contribution to
the total electric field due to each charge. b) Draw and carefully label the total electric field vector at
this point.
c)
Find an expression for the total electric field in terms of Q, D, and z.
II) Two long straight wires separated by a distance D each carry a current I; the current in the left
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 Spring '09
 Kesten
 Physics

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