University of California at Berkeley
Department of Physics
Course Information
Physics 8A Lecture Section 2
Fall 2017
Lecture Information
Mike DeWeese
Tu Th 11:10pm - 12:30pm, 1 Pimentel Hall
229 Birge Hall
[email protected]
Office hours:
After lecture
Physics 110A
Practice Problem Set Midterm 1
Spring 2017
(1) A cubical box (sides of length a) consists of five metal plates, which are welded together and
grounded. The top is made of a separate sheet of metal, insulated from the others, and held
at a con
Physics 110A
Discussion Section Week 10
Spring 2017
(1) (Griffiths 6.12) An infinitely long cylinder, of radius R, carries a frozen in magnetization
parallel to the axis,
M = ks
z
where k is a constant and s is the distance from the axis; there is no free
Discussion Section Week 8
Physics 110A
Spring 2017
(1) (Griffiths 4.22) A very long cylinder of linear dielectric material is placed in an otherwise
uniform electric field E 0 . Find the resulting field within the cylinder. (The radius is a, the
susceptib
Physics 110A Spring 2017
Week 5
GSI: Pratik Sachdeva
Problems
(1) A point charge q is situated a distance a from the center of a grounded conducting sphere of
radius R. Find the potential outside the sphere, by deriving the placement and charge of the
ima
Physics 110A
Practice Problem Set Midterm 1 Solutions
Spring 2017
(1) A cubical box (sides of length a) consists of five metal plates, which are welded together and
grounded. The top is made of a separate sheet of metal, insulated from the others, and hel
Physics 110A Spring 2017
Week 1
GSI: Pratik Sachdeva
Problems
(1) A hollow spherical shell carries charge density = k/r2 in the region a r b. Find the
electric field in the three regions: (i) r < a, (ii) a < r < b, (iii) r > b. Plot the magnitude of
the e
Physics 110A Spring 2017
Midterm II Practice Problems
Midterm II Practice Problems
(1) A thick spherical shell (inner radius a, outer radius b) is made of dielectric material with a
frozen-in polarization P(r) = (k/r)
r, where k is a constant and r is the
Physics 110A Spring 2017
Week 9
GSI: Pratik Sachdeva
Problems
(1) A steady current I flows down a long cylindrical wire of radius a. Find the magnetic field,
both inside and outside the wire, if
(a) The current is uniformly distributed over the outside su
Physics 110A Spring 2017
Week 1
GSI: Pratik Sachdeva
Problems
(1) Vectors Grab Bag.
(a) Consider two vectors u = (1, 2, 1), v = (2, 4, 5), and w = (4, 9, 2). Evaluate u + v, u v,
u v, and u (v w).
(b) Consider two general vectors v and w. Evaluate
(v w)2
Physics 110A Spring 2017
Week 13
Problems
(1) A long straight wire and a small rectangular wire loop lie in the same plane. Determine the
mutual inductance in terms of `1 , `2 , and w. Assume the wire is very long compared to `1 ,
`2 , and w, and that the
Physics 110A
Discussion Section Set 4
Spring 2017
(1) (Griffiths 2.35) Here is a fourth way of computing the energy of a uniformly charged solid
sphere: Assemble it like a snowball, layer by layer, each time bringing in an infinitesimal
charge dq from far
Physics 110A
Discussion Section Set 2
Spring 2017
(1) (Griffiths 1.64) This is problem to convince yourselves that 2 (1/r) = 4 3 (r). Consider
the function,
1
1
D(r, ) = 2
4
r2 + 2
(a) Show that D(r, ) = (32 /4)(r2 + 2 )5/2
(b) Check that D(0, ) , as 0.
Physics 110A Spring 2017
Final Study Guide
You are responsible for all material in Chapters 1-7 and Sections 9.1, 9.2, and 12.3.
This study guide certainly does not encompass all of that material, so please do not
assume that any material I did not put on
Physics 110A Spring 2017
Week 7
GSI: Pratik Sachdeva
Problems
(1) A dielectric cube of side a, centered at the origin, carries a frozen-in polarization P = kr,
where k is a constant. Find all the bound charges, and check that they add up to zero.
Source:
Problem Set 8 Solutions
Physics 110A
Spring 2017
(1) (a) The vector potential A must produce a valid magnetic field B. The magnetic field B,
under magnetostatics, must have a vanishing divergence i.e. B = 0. Thus,
B=A
= (2y xy, 2x, yz + 2) .
(1)
(2)
And f
Problem Set 10 Solutions
Physics 110A
Spring 2017
(1) Let us assume that a voltage V is applied between the inner and the outer surface and this
I
causes a current I to flow through the wire. This means that j(r) = 4r
. Thus by Ohms
2r
law we have
1
j(r)
Physics 110A, Electromagnetism and Optics
Midterm #2
Please read the questions carefully and show all work. You are allowed to use your own notes. If you
find a root or fraction that you cannot evaluate, either estimate it or leave it unsimplified. There
Physics 110A
Problem Set 8 Solutions
Spring 2017
(1) The integral form of Amperes Law, including the displacement term, is given by
Z
Z
Z
E
B d` = 0 J da + 0 0
da.
S t
S
C
(1)
In this case, C is a path that well choose to lie along the circle given by th
Physics 110A
Problem Set 9 Solutions
Spring 2017
(1) An iron ring of radius 10 cm and of cross-sectional area 12 cm2 is evenly wound with 1200
turns of insulated wire. There is an air gap in the ring of length 1 mm. The permeability of
the iron is 700 and
University of California, Berkeley, Department of Physics
Physics 77, Summer 2017
Introduction to Computational Techniques in Physics
Course Syllabus
Instructor Information
Lecture Information
Office Hours:
Amin Jazaeri
256 LeConte Hall
[email protected]
Physics 110A, Electromagnetism and Optics
Final Exam
Please read the questions carefully and show all work. You are allowed to use your own notes. If you
find a root or fraction that you cannot evaluate, either estimate it or leave it unsimplified. If a
c
Homework #9
1. Frequency dependence of the electrical conductivity.
Use the equation
m( dv / dt + v / ) = eE for the electrical drift velocity v to show that the
conductivity at frequency is
1 + i
( ) = (0)
,
2
1 + ( )
where (0) = ne 2 / m .
Solutio
University of California, Berkeley
Physics 141A
Midterm
Answer all the questions. You must show the reasoning which leads to your answer to
get full credit. Indicate the answers clearly and cross out work you feel is wrong.
1. Knowing the facts that Fe ha
E'4;o&+efm cfw_4" A
u g. ~_s
(a) :M/c: _Q.#AL)- 3
=2a3(4x5)-5=2a3
it 17?de a: :- 2W 2a.?- A I; E 2? 7;
V1. 2&' 3 CL
_ V "
bb- 3 W4 a 2569? if "
V; 1a! 3 a j
a, 27" 2M , 2: a r. n w A
' E I. .: '-u
Vt; 205 X) 21 ' a 5
u (u g, : mF.
Physics 7A (Physics for Scientists and Engineers)
Summer 2017
Dr. William Golightly
Course Description:
Prerequisites: High school physics; Math 1A; Math 1B (which may be taken concurrently).
Topics: Kinematics, mechanics, waves, and fluids.
Lectures: MTu
MID TERM 1 REVIEW QUESTIONS Physics 7A (10th July, 2017)
1. A particle is projected horizontally with a speed v0 from the top of a
plane inclined at an angle with the horizontal. How far from the point
of projection will the particle strike the plane