Physics 33-107
Assignment 4 Solutions
(1) Special problem:
(a) Choose a cylinder of some cross-sectional area A with
axis parallel to the z -axis, with one end cap inside the
conducting slab and the other end cap at height z . The
ux through the rst end c
Physics 33-107
Name:
Assignment 8
Special problem:
(1) A particle having mass m = 2.0 g and charge q = 100 C
is red with speed vi = 50 km/s along the x-axis into a region
in which there is a uniform magnetic eld B = 4000 Gauss .
Answer the following, with
Physics 33-107
Name:
Assignment 7
Due Thursday, October 18, 2007
Section:
Special problem:
(1) Consider the circuit shown, consisting of
three ideal sources of emf and four resistors.
a
(a) Using the assigned currents shown in the
diagram, apply Kirchhos
Physics 33-107
Name:
Assignment 5
Due Thursday, October 4, 2007
Section:
Special problem:
(1) A long solid iron rod has radius R in and charge per unit
length . The rod runs along the axis of a long copper pipe
of inner radius a and outer radius b. This p
Physics 33-107
Name:
Assignment 4
Due Thursday, September 27, 2007
Section:
Special problem:
(1) Consider a metal slab of thickness a and innite expanse (its bottom surface lying in the xy -plane at z = 0)
and an insulator slab of thickness a (above the c
Physics 33-107
Name:
Assignment 3
Due Thursday, September 20, 2007
Section:
Special problem:
(1) A long solid non-conducting rod has radius R and
charge per unit length uniformly distributed throughout the rod. The rod runs along the axis of a metal pipe
Physics 33-107
Name:
Assignment 2
Due Week 3, Thursday, September 13, 2007
Section:
Special problem:
(1) A non-conducting line segment of charge lies on the
x-axis between a and a. It is not uniformly charged. The
charge per unit length at any position x
Physics 33-107
Assignment 1
Name:
Due Thursday, September 6, 2007
Section:
Special problem:
(1) Three equal charges Q are located at three corners of
a square as shown. The three corners labeled A, B, C in
the diagram are at (0, 0), (L, L), (0, L), respec
Physics 33-107
Name:
Assignment 6
Due Thursday, October 11, 2007
Section:
Special problem:
(1) A solid metal spherical ball of radius R in has charge +Q
on it. The ball is surrounded by two spherical shells, both of
which are concentric with the ball. The
Physics 33-107
Assignment 9
Name:
Due Thursday, November 1, 2007
Section:
Special problem:
(1) A loop of wire lies in the xy -plane and consists of a
semi-circular arc of radius a, another semi-circular arc of radius
2a, and two straight segments along th
Physics 33-107
Assignment 1 Solutions
(1) Special problem:
(a) The displacement vectors rjD from each of the three equal
charges to the test charge, and the associated unit vectors, are
given by
rAD = L ,
rBD = L ,
rCD = L L ,
rAD = L
rBD = L
2L
rCD =
rAD
Physics 33-107
Assignment 8 Solutions
Special problem:
y
(1) A particle having mass m = 2.0 g and charge q = 100 C
is red with speed vi = 50 km/s along the x-axis into a region
in which there is a uniform magnetic eld B = 4000 Gauss .
(a) The force initia
Physics 33-107
Assignment 6 Solutions
Q
Special problem:
(1) A solid metal spherical ball of radius R in 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 n
Physics 33-107
Assignment 4 Solutions
(1) Special problem:
(a) Choose a cylinder of some cross-sectional area A with
axis parallel to the z -axis, with one end cap inside the
conducting slab and the other end cap at height z . The
ux through the rst end c
Physics 33-107
Assignment 3 Solutions
(1) Special problem:
(a) Choose a cylinder coaxial with the pipe and having radius d
and length L, where a < d < b (red dashed cylinder in diagram)
as the Gaussian surface. Since E is radial, the ux through the
end ca
Physics 33-107
Assignment 2 Solutions
(1) Special problem:
(a) Innitesimal element of charge is given by
dQ = (x)dx =
y
x3
P
Q0
dx.
L4
(0,d)
Integrating this gives the total charge on the segment
Q0 1 4
Q0 x3
x
dx 4 = 4
dQ =
L
L4
a
a
Q=
a
a
a
x x+dx
= 0.
33-107 Physics II
EXAM II
Feb. 26, 2007
Name:
Circle your section:
ABCDEF
A
B
C
D
E
F
9:30am
10:30am
11:30am
12:30pm
1:30pm
2:30pm
DH
DH
DH
DH
DH
DH
1211
1211
1211
1211
1211
1211
Du Neill
Navodit Misra
Navodit Misra
Du Neill
Adam Azarchs
Adam Azarchs
Note
33-107 Physics II
EXAM I
Feb. 5, 2007
A
B
C
D
E
F
Name:
Circle your section:
ABCDEF
9:30am
10:30am
11:30am
12:30pm
1:30pm
2:30pm
DH
DH
DH
DH
DH
DH
1211
1211
1211
1211
1211
1211
Du Neill
Navodit Misra
Navodit Misra
Du Neill
Adam Azarchs
Adam Azarchs
Note:
Physics 33-107
Assignment 10 Solutions
Special problem:
(1) Consider the innitely-long, straight coaxial cable shown below. At the center is a solid
conductor of radius 2a and the outer tube is a conductor of inner radius 4a and outer radius 5a.
The space
Physics 33-107
Assignment 9 Solutions
Special problem:
(1) A loop of wire lies in the xy -plane and consists of a
semi-circular arc of radius a, another semi-circular arc of radius
2a, and two straight segments along the y -axis, as shown. A
current I ows
Physics 33-107
Assignment 8 Solutions
Special problem:
y
(1) A particle having mass m = 2.0 g and charge q = 100 C
is red with speed vi = 50 km/s along the x-axis into a region
in which there is a uniform magnetic eld B = 4000 Gauss .
(a) The force initia
Physics 33-107
Assignment 7 Solutions
Special problem:
I1
(1) Consider the circuit shown, consisting of
three ideal sources of emf and four resistors.
R1
a
(a) Kirchhos loop rule applied to the left loop
abef , clockwise from a, yields
1
3
I2
R3
I1 R1 E1
Physics 33-107
Assignment 6 Solutions
Q
Special 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
Physics 33-107
Assignment 5 Solutions
(1) Special problem:
(a) From symmetry, the electric eld E = E (r) is radially
r
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 thes
Physics 33-107
Assignment 3 Solutions
(1) Special problem:
(a) Choose a cylinder coaxial with the pipe and having radius d
and length L, where a < d < b (red dashed cylinder in diagram)
as the Gaussian surface. Since E is radial, the ux through the
end ca
Physics 33-107
Assignment 2 Solutions
(1) Special problem:
(a) Innitesimal element of charge is given by
dQ = (x)dx =
Q0
dx.
L4
Integrating this gives the total charge on the segment
Q0 x 3
Q0 1 4
dx 4 = 4
dQ =
x
L
L4
a
a
Q=
y
P
x3
(0,d)
a
a
a
x x+dx
= 0.
Physics 33-107
Assignment 11 Solutions
Special problem:
(1) As shown in the cut-away diagram, a toroidal coil
is made by wrapping 1000 turns of wire (only 5 are
shown) around a wooden torus of square cross section
of side length L. The circular central ho