Physics 217 - Homework 11 Solutions
Ruxandra Bondarescu May 8, 2005
Problem 1. Purcell 11.4
B=
2m = 0.62 gauss R3
(1)
The radius of the Earth is about R = 6 108 cm. So, from the equation above we get m = 6.7 1025 erg/gauss = 6.7 1022 J/T. If
Physics 217: Problem Set 6 Solutions
by Jolyon Bloomeld and Yao Liu
Due Friday, March 13th, 2009
1
Problem 6.03 Purcell
The magnetic eld along the axis of the ring is given by
B = 0 I
a2
z
2(a2 + z 2 )3/2
in SI notation where a is the radius of the ring.
Physics 217 - Homework 7 Solutions
Ruxandra Bondarescu April 4, 2005
Problem 1. Purcell 6.14 We set a coordinate system so the point P under consideration is in the z -x plane with coordinates (xo , 0, zo ). Consider a current loop at an angle from
Physics 217 - Homework 1 Solutions
Ruxandra Bondarescu February 1, 2005
Problem 1. Purcell 1.5 We divide the semicircle in small segments dl where each segment has a charge dq. The electric
Figure 1: We discretize the given continuos line charge de
Physics 2217: Problem Set 2 Solutions
1. Purcell 1.5
dE = k
dq
r and dq = Rd
r2
So:
dq
cos x
r2
R
=k2
d cos x = 0
R0
dEx = k
Ex
Which was expected from the symmetry of the problem and:
dq
sin y
r2
2Q
R
d sin y = K
y
=k2
R0
R2
dEy = k
Ey
2. Purcell 1.9
q=
Electricity and Magnetism
Physics 2217 and AEP 2170 Spring 2012 Homework 1 Assigned: Monday January 23th Due: Friday January 27rd (only required to hand in Problems 1-4). 1. Problem 1.1 Purcell 2. Problem 1.2 Purcell 3. Problem 1.3 Purcell 4. Finish the "
Physics 217/AEP 217 - Electricity and Magnetism Spring 2005 Problem Set #1
Due by 4 p.m. in the Physics Dept. Office, Friday February 4, 2005
Reading: Purcell, Electricity and Magnetism, Chapter 1: Problem 1: Purcell 1.5 Problem 2: Purcell 1.6 Prob
Physics 217: Problem Set 3 Solutions
by Yao Liu
Due Friday, Feb 12th, 2010
1
Purcell 2.1
Ey = 3x2 3y 2
Ex = 6xy
Ez = 0
First integrate along the straight path from (0, 0, 0) to (x1 , 0, 0)
x1
E ds =
x1
Ex (x, 0, 0)dx =
6x(0)dx = 0
0
0
since y = 0 along th
Physics 217/AEP 217 - Electricity and Magnetism Spring 2005 Problem Set #2
Due by 4 p.m. in the Physics Dept. Office, Friday February 11, 2005
Reading: Purcell, Electricity and Magnetism, Chapter 2 Problem 1: Purcell 1.30 Problem 2: Purcell 1.34 Pr
Electricity and Magnetism
Physics 2217 and AEP 2170 Spring 2012
Course Logistics
Welcome to "217", the introductory course in E&M targeted for majors in Physics and Engineering Physics. It is strongly recommended that you have taken PHYS 1116 previously.
Electricity and Magnetism
Physics 2217 and AEP 2170 Spring 2012 Homework 3
Assigned: Friday February 3rd Due: Friday February 10th 1. Problem 2.1 Purcell 2. Problem 2.8 Purcell 3. Problem 2.13, 2.14, 2.15 Purcell. Note 2.13-2.15 are very short math proble
PHYS2217 - Problem Set 6
Bryan Zheng
Section 202
March 18, 2016
1
Problem 1 (Purcell 4.20)
Using a bit of dimensional analysis with our given variables, we deduce that we
must divide the charge ([C]) by the given volume ([m3 ]) and multiply by the
velocit
Electricity and Magnetism
Phys 2217 / AEP 2170 Lecture 2 Lecture Notes
Cornell University !
"I would found an institution where any person can find instruction in any study." - Ezra Cornell, 1868
Craig J. Fennie
fennie@cornell.edu
School of Applied and En
Electricity and Magnetism
Phys 2217 / AEP 2170 Lecture 1 Lecture Notes
Cornell University !
"I would found an institution where any person can find instruction in any study." - Ezra Cornell, 1868
Craig J. Fennie
fennie@cornell.edu
School of Applied and En
Electricity and Magnetism
Physics 2217 and AEP 2170 Spring 2012 Homework 2
Assigned: Friday January 27th Due: Friday Feburary 3rd 1. 2. 3. 4. Problem 1.5 Purcell Problem 1.9 Purcell Problem 1.19 Purcell Problem 1.30 Purcell
5. (a) Three charges are situat
Electricity and Magnetism
Physics 2217 and AEP 2170
Spring 2011
Homework 1
Assigned: Monday January 24th
Due: Friday January 28rd
1. Problem 1.1 Purcell
2. Problem 1.2 Purcell
3. Problem 1.3 Purcell
The next few problems are meant to give you an idea of t
Physics 217: Problem Set 8 Solutions
by Yao Liu
Due Monday, April 13th, 2009
1
Purcell 8.7
To nd the inductance of a toroid with N turn, see Problem 4 in Hw 6,
B (2r) =
4N I
c
=
b
=N
Bhdr =
a
Denition of L is
E = L
B=
2N I
cr
2N 2 Ih b
ln
c
a
1 d
dI
=
dt
Physics 217: Problem Set 7 Solutions
by Jolyon Bloomeld and Yao Liu
Due Monday, March 30th, 2009
1
Problem 1: Purcell 7.11
Looking at the gure, the current I2 produces a B eld upward, so increasing I2 will make B2 increase. By
Lenzs law, the induced emf i
Physics 2217, Fall 2016
Problem Set 2
1. Potential Energy of Cylinder
due Fri, Sep 9, 2016
5. Electric Field of Coaxial Cable
a) Review Purcell and Morin 1.24, and explain in your own
A long coaxial cable carries a uniform volume charge density
throughou
Physics 2217, Fall 2016
Problem Set 1
1. An equilateral triangle
due Fri, Sep 2, 2016
5. Semi-infinite wire
Purcell and Morin 1.52
A semi-infinite wire lies on the negative z axis, that is from
z = 0 to z = . It has a constant linear charge density .
~ at
PHYS2217 - Problem Set 4
Bryan Zheng (bz78)
Section 202
March 4, 2016
1
Problem 1 (Purcell 3.31)
For figure (a), negative charge will accumulate on the surface nearest to the
positive charge, and thus the innermost surface. Positive charges accumulate on
PHYS2217 - Problem Set 5
Bryan Zheng (bz78)
Section 202
March 11, 2016
1
Problem 1
The ratio of charge distributed to the small shell to the total charge is constant.
This is because the capacitances are constant and the system is at the same
1
is
potenti
PHYS2217 - Problem Set 3
Bryan Zheng (bz78)
Section 202
Feburary 26, 2016
1
Problem 1 (Purcell 2.51)
If we divide the cylinder into rings of radius a and height dx,
=
Q
2ab
dq =
=
dq
2adx
Qdx
b
R 2b +xo
Qdx
= b
b a2 +x2
2 +xo
b
1 Q
2 +xo
= 4
[ln a2 + x2
Homework #7
PHYS/AEP 2217
Due at Clark 245 (AEP2217 homework box) at 5 pm on April 4, 2016
Read Purcell and Morin 5.1 and 5.2, Chapter 6 (skip sections 6.7 and 6.8). We will skip
the relativity sections for now, and cover them at the end of the semester.
Homework #6
PHYS/AEP 2217
Due at Clark 245 (AEP2217 homework box) at 5 pm on Fri. 03/18/2016
Read Chapters 4 of Purcell and Morin. We will (more or less) skip sections 4.4 to 4.6.
Read Purcell and Morin 5.1 and 5.2. We will skip the relativity sections fo
PHYS2217 - Problem Set 6
Bryan Zheng
Section 202
March 18, 2016
1
Problem 1 (Purcell 4.20)
Using a bit of dimensional analysis with our given variables, we deduce that we
must divide the charge ([C]) by the given volume ([m3 ]) and multiply by the
velocit
Homework #4
PHYS/AEP 2217
Due at Clark 245 (AEP2217 homework box) at 5 pm on Fri. 03/04/2016
Read Chapters 3 of Purcell and Morin
1. Purcell and Morin 3.31
2. Purcell and Morin 3.34
3. Purcell and Morin 3.38
4. Purcell and Morin 3.47
5. A charged, non-con
Name:
AEP2170 Short Quiz (02/10/2016)
Close book, ~25 minutes
Formula sheet
!
1 q1q2
F=
r
Coloumbs Law:
2
4 0 r12 12
! ! Q
E da = enclosed =
Gauss Law:
0
S
d
V
0
In spherical coordinates:
!
ds = drr + rd + r sin d
d = r 2 sin drd d
,
Empty Space
Name:
1
PHYS 2217
Spring 2016
Problem Set 0
Name: My name here
1
Section: My section number
Problem 1
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slashes (\) to have the characte
Multivariate Calculus review
January 27, 2016
This is a set of problems to help you get a feel for the multivariate calculus
concepts that will be presented in this course. Most or all of these techniques
should be covered in the standard multivariate cal