33-107
Exam 3 Solution
Summer (1) 2013
June 18, 2013
Name (print) _SOLUTION_Section _
Signature _
PROBLEM
MAX POINTS
1. A piece of wire
30
2. A ring of current
35
3. The Hall effect
20
4. A toroid
POINTS
15
Total
100
Draw boxes around your final results.

Physics 33-107
Assignment 5 Solutions
Problem (1)
(a) From symmetry, the electric eld E = E (r) is radir
ally directed away from axis. Since regions (i) r < Rin
, (iii) a < r < b , (v) c < r < Rout are inside the conductors, then E (r) = 0 in these region

Physics 33-107
R out
Q
Assignment 6 Solutions
+Q
Problem (1)
A solid metal spherical ball of radius Rin has charge +Q on it.
The ball is surrounded by two spherical shells, both of which are
concentric with the ball. The rst shell is a dielectric (with no

33-107
Exam 1
Summer (1) 2014
May 29, 2014
Name (print) _SOLUTION_
Signature _
PROBLEM
MAX POINTS
1. A rectangular sheet
40
2. A rod inside a tube
40
3. A proton inside an electric field
POINTS
20
Total
100
Draw boxes around your final results. Try to fit

33-107
F=
Anchor Points/Formula Sheet
Final Exam
Q1 Q2
1 Q
r
F =q E
r
E point charge
=
2
4 0 r
4 0 r 2
or sphere of charge
1 2p
E dipole
, at a distance x from the dipole midpoint, along the axis of the dipole
4 0 x 3
p
1
, at a distance y from the dipol

PARTICLE PHYSICS AND COSMOLOGY
44
44.1.
(a) IDENTIFY and SET UP: Use Eq.(37.36) to calculate the kinetic energy K. 1 EXECUTE: K = mc 2 - 1 = 0.1547 mc 2 2 2 1- v / c
m = 9.109 10 -31 kg, so K = 1.27 10-14 J (b) IDENTIFY and SET UP: The total energy of th

NUCLEAR PHYSICS
43
43.1.
(a) (b) (c)
28 14 85 37
Si has 14 protons and 14 neutrons. Rb has 37 protons and 48 neutrons. Tl has 81 protons and 124 neutrons.
205 81
43.2.
(a) Using R = (1.2 fm)A1 3 , the radii are roughly 3.6 fm, 5.3 fm, and 7.1 fm. (b) Usin

ATOMIC STRUCTURE
41
L = l (l + 1) . Lz = ml . l = 0, 1, 2,., n - 1. ml = 0, 1, 2,., l . cos = Lz / L .
41.1.
IDENTIFY and SET UP:
EXECUTE: (a) l = 0 : L = 0 , Lz = 0 . l = 1: L = 2 , Lz = ,0, - . l = 2 : L = 6 , Lz = 2 , ,0, - , -2 . (b) In each case cos

QUANTUM MECHANICS
40
n2h 2 . 8mL2
40.1.
IDENTIFY and SET UP: The energy levels for a particle in a box are given by En = EXECUTE: (a) The lowest level is for n = 1, and E1 =
(1)(6.626 10-34 J s) 2 = 1.2 10-67 J. 8(0.20 kg)(1.5 m) 2
1 2E 2(1.2 10-67 J) (b)

THE WAVE NATURE OF PARTICLES
39
hc
39.1.
IDENTIFY and SET UP: EXECUTE: (a) =
=
h h = . For an electron, m = 9.11 10 -31 kg . For a proton, m = 1.67 10 -27 kg . p mv
6.63 10-34 J s = 1.55 10-10 m = 0.155 nm (9.11 10-31 kg)(4.70 106 m/s)
m 9.11 10 -31 kg 1

PHOTONS, ELECTRONS, AND ATOMS
38
h f - . The e e
38.1.
IDENTIFY and SET UP: The stopping potential V0 is related to the frequency of the light by V0 = slope of V0 versus f is h/e. The value fth of f when V0 = 0 is related to by = hf th .
EXECUTE: (a) From

RELATIVITY
37
Figure 37.1
37.1.
IDENTIFY and SET UP: Consider the distance A to O and B to O as observed by an observer on the ground (Figure 37.1).
(b) d = vt = (0.900) (3.00 108 m s) (5.05 10-6 s) = 1.36 103 m = 1.36 km. 37.3.
1 IDENTIFY and SET UP: The

DIFFRACTION
36
36.1.
IDENTIFY: Use y = x tan to calculate the angular position of the first minimum. The minima are located by m , m = 1, 2,. First minimum means m = 1 and sin 1 = / a and = a sin 1. Use this Eq.(36.2): sin = a equation to calculate . SET

INTERFERENCE
35
35.1.
35.2.
IDENTIFY: Compare the path difference to the wavelength. SET UP: The separation between sources is 5.00 m, so for points between the sources the largest possible path difference is 5.00 m. EXECUTE: (a) For constructive interfer

GEOMETRIC OPTICS
34
y = 4.85 cm
Figure 34.1
34.1.
IDENTIFY and SET UP: Plane mirror: s = - s (Eq.34.1) and m = y / y = - s / s = +1 (Eq.34.2). We are given s and y and are asked to find s and y. EXECUTE: The object and image are shown in Figure 34.1. s =

33-107
Exam 3
Summer (1) 2014
June 17, 2014
Name (print) _SOLUTION_
Signature _
PROBLEM
MAX POINTS
1. Rectangular loop
35
2. Rectangular loop revisited
30
3. A rod inside a tube
35
Total
POINTS
100
There are 11 pages to this exam.
Draw boxes around your f

33-107
Exam 3
Summer (1) 2014
June 17, 2014
Name (print) _
Signature _
PROBLEM
MAX POINTS
1. Rectangular loop
35
2. Rectangular loop revisited
30
3. A rod inside a tube
35
Total
POINTS
100
There are 11 pages to this exam.
Draw boxes around your final resu

33-107
F=
Anchor Points/Formula Sheet
Exam 2
Q1 Q2
1 Q
r
F =q E
r
E point charge
=
2
4 0 r
4 0 r 2
or sphere of charge
1 2p
E dipole
, at a distance x from the dipole midpoint, along the axis of the dipole
4 0 x 3
p
1
, at a distance y from the dipole mi

33-107
Exam 2
Summer (1) 2013
June 9, 2013
Name (print) _
Signature _
PROBLEM
MAX POINTS
1. Rutherford Experiment
25
2. Three slabs
35
3. Circuit
35
4. Copper wire
20
Total
POINTS
115
Draw boxes around your final results. Try to fit your work into the all

33-107
Exam 1
Summer (1) 2013
May 30, 2012
Name (print) _SOLUTION_
Signature _
PROBLEM
MAX POINTS
1. Many point charges
25
2. A charged disk
30
3. A charged disk - revisited
25
4. An electron between parallel plates
POINTS
20
Total
100
Draw boxes around y

33-107
Final Exam
Summer (1) 2013
June 28, 2013
Name (print) _ Section _
Signature _
Did you do the online course assessment? _
PROBLEM
MAX
POINTS
POINTS
1. Brief questions
60
2. Electromagnetic wave
40
3. A rod and a water molecule
40
4. Three bulbs
50
5

33-107
Exam 1
Summer (1) 2013
May 30, 2012
Name (print) _
Signature _
PROBLEM
MAX POINTS
1. Many point charges
25
2. A charged disk
30
3. A charged disk - revisited
25
4. An electron between parallel plates
POINTS
20
Total
100
Draw boxes around your final

33-107
Exam 3
Summer (1) 2013
June 18, 2013
Name (print) _ Section _
Signature _
PROBLEM
MAX POINTS
1. A piece of wire
30
2. A ring of current
35
3. The Hall effect
20
4. A toroid
POINTS
15
Total
100
Draw boxes around your final results. Try to fit your w

33-107
Exam 2
Summer (1) 2013
June 9, 2013
Name (print) _SOLUTION_
Signature _
PROBLEM
MAX POINTS
1. Rutherford Experiment
25
2. Three slabs
35
3. Circuit
35
4. Copper wire
20
Total
POINTS
115
Draw boxes around your final results. Try to fit your work int

33-107
Exam 4
Summer (1) 2013
June 26, 2013
Name (print) _SOLUTION_ Section _
Signature _
PROBLEM
MAX POINTS
1. The wire and the loop
40
2. Hanging weight
40
3. Electromagnetic wave
POINTS
40
Total
120
Draw boxes around your final results. Try to fit your

33-107
Exam 4
Summer (1) 2013
June 26, 2013
Name (print) _ Section _
Signature _
PROBLEM
MAX POINTS
1. The wire and the loop
40
2. Hanging weight
40
3. Electromagnetic wave
POINTS
40
Total
120
Draw boxes around your final results. Try to fit your work int

33-107
Final Exam
Summer (1) 2013
June 28, 2013
Name (print) _SOLUTION_ Section _
Signature _
Did you do the online course assessment? _
PROBLEM
MAX
POINTS
POINTS
1. Brief questions
60
2. Electromagnetic wave
40
3. A rod and a water molecule
40
4. Three b

(1)(25) A Filter Circuit
You are given the lter circuit shown on the right and
told that the characteristic frequency is fRC = 1 kHz.
You are also told that the complex gain of this lter can
be expressed in terms of RC = 1/RC as
vin
R
C
R
vout
/