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Physics 350 Midterm Examination
Spring Semester 2013
Instructions:
• This is a closed-book/note examination which should be completed
during the 2-hour time period normally scheduled for lab.
• There are a total of seven problems on this exam:
– You do
Lab 3: Spherical Coordinates and Coordinate Transforms
Sample Solution (Spring 2014)
As per usual, we will start by clearing Maple's memory:
> restart;
In this week's lab we are going to be making spherical plots, so I am going to load the "plots" package
Sample Solutions for Lab 2: Taylor Series and Complex
Arithmetic (Spring 2014)
> restart;
Again reset the variables in memory.
Part I) Taylor Series:
1. Start with the problem of finding the Taylor's series for the exponential turncated at the 15th order
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Physics 350 Midterm Topic Summary (Spring Semester 2014)
Below is a listing of topics that you may expect to see on the midterm. This is
only meant as a guide. The presence of a topic on this list does not guarantee
that it will be on the midterm.
1. Ta
Solutions to Problem Set 1, Phys 350, Spring 2014
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Problem 1
We are to ﬁnd the Taylor series expansion of the function f (x) = x1/3 about
the point x0 = 8. Recall that the Taylor series expansion is given by
∞
f (x) =
n=0
f (n) (x0 )
(x − x0 )n .
n!
(1)
Sample solutions for Physics 350 Lab #1 (Spring 2014)
> restart;
the above line just resets all the variables and clears the memory, useful if I rerun the entire script.
1. I am asked to determine the value of the given indefinite integral. So I perform t
Solutions to Problem Set 4, Physics 370, Spring 2014
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TOTAL POINTS POSSIBLE: 55 points.
1. In English, explain what is the point behind Griﬃth’s visualization of
the relationships between various electrostatic quantities in his Figure
2.35, reproduced be
Solutions to Problem Set 5, Physics 370, Spring 2014
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TOTAL POINTS POSSIBLE: 70 points.
1. Griﬃths Problem 2.43: Find the capacitance per unit length of two
coaxial metal cylindrical tubes, of radii a and b (see Figure 2.53).
HINT: Start by simply consid
Solutions to Problem Set 3, Physics 370, Spring 2014
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TOTAL POINTS POSSIBLE: 70 points.
1. In English, what is an electric ﬁeld E?
(5 points possible) In a nutshell, if we go by the deﬁnition of an electric ﬁeld E in Griﬃths, it is simply the electric fo
Solutions to Problem Set 2, Physics 370, Spring 2014
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TOTAL POINTS POSSIBLE: 65 points.
1. Conceptual Question: The fundamental theorem of Calculus states
“the integral of a derivative over an interval is given by the value of the
function at the end poi
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Physics 370 Midterm Exam #1 Solution Key
Spring Semester 2014
Performance Notes: This exam had a total of 100 points possible (not
including extra credit). The average score was 64.8 out of 100 with a standard deviation of 14.9 points. That is a bit low
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Physics 370 Midterm Exam #1 Solution
Hints
(Study Guide Version)
Spring Semester 2012
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1. Answer the following conceptual questions:
(a) (6 points) What is the electric ﬁeld along the axis of an inﬁnitely
long, uniformly charged, cylinder? Explain you
Solutions to Problem Set 0, Physics 370, Spring 2014
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TOTAL POINTS POSSIBLE: 20 points.
1. Tell Me About Yourself: What is your name, where are you from,
and why are a physics major?
(5 points possible) Pretty much manage to answer these questions
and yo
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Solutions to Problem Set 1, Physics 370, Spring 2014
TOTAL POINTS POSSIBLE: 75 points. Points were assigned based on
both the clarity of your explanation (about 50% credit) and the correctness
of your answer (about 50% credit). I treat an explanation as
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Physics 370 (Electromagnetic Theory) Problem Set 8
Due Tuesday, March 25 4:30pm
WARNING: This problem set is due the Tuesday immediately
after Spring Break. You might want to start on it before Spring
Break, especially if you plan to veg out for Spring
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Physics 370 (Electromagnetic Theory) Problem Set 7
Due Tuesday, March 11 at 4:30 pm
1. Griﬃths Problem 3.30 (Tweaked): In Example 3.9 we derived the
exact potential for a spherical shell of radius R, which carries a surface
charge σ (θ) = k cos θ.
(a) E
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Physics 370 (Electromagnetic Theory) Problem Set 5
Due Tuesday, February 18 4:30PM
MIDTERM EXAM NOTE: Remember, the ﬁrst midterm exam is on
Monday, February 24. A study guide for that exam will be posted by Monday, February 17. Problem Set 6 will be due
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Physics 370 (Electromagnetic Theory) Problem Set 4
Due Tuesday, February 11 at 4:30PM
1. In English, explain what is the point behind Griﬃth’s visualization of
the relationships between various electrostatic quantities in his Figure
2.35, reproduced bel
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Physics 370 (Electromagnetic Theory) Problem Set 3
Due Tuesday, February 4 at 4PM
1. In English, what is an electric eld E ?
2. Recall Gauss Law is stated in two forms by Griths: The integral
form of Gauss law as stated in equation (2.13)
S
E da =
Qenc
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Physics 370 (Electromagnetic Theory) Problem Set 2
Due Tuesday, January 28 at 4PM
1. Conceptual Question: The fundamental theorem of Calculus states
the integral of a derivative over an interval is given by the value of the
function at the end points (b
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Physics 370 (Electromagnetic Theory) Problem Set 1
Due Tuesday, January 21 at 4:30 PM
HOW I GRADE: I give only about 50% credit for the correct answer. The
rest of the credit goes to how well you explain in clear written English and
diagrams your proces
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Physics 370 (Electromagnetic Theory) Problem Set 00
Due Tuesday, January 14 at 4:30 PM
HOW I GRADE: Normally, I give only about 50% credit for the correct
answer. The rest of the credit goes to how well you explain in clear written
English and diagrams
Solutions to Problem Set 3, Phys 350, Spring 2014
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1. Here is the Maple notebook I used to solve this problem, reproduced
inline:
Solutions to Problem Set 3, Phys 350, Spring 2014
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2. Here is the Maple notebook I used to solve this problem, reproduced
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Solutions to Problem Set 2, Physics 350, Spring 2014
1. The Taylor series for cosine about x0 = 0 is
cos x ≈ 1 −
x2 x4
x6
+
−
+··· .
2
24 720
(1)
Since the series contains only even powers of x we must use the second
form given in the assignemnt of the