November 187 2015
Hans P. Paar
4C Quiz #3
This Quizz is closed book.
Make sure to always indicate positive directions and make large and neat
ﬁgures. Specify the units of numerical answers.
PROBLEM 1 ( points).
Two wires of length 3 connect a battery with
This document is stored in Documents/4C/vectoralgebra.tex Compile it
with LaTex.
September 23, 2014
Hans P. Paar
VECTOR ALGEBRA
1
Introduction
Vector algebra is necessary in order to learn vector calculus. We are dealing with vectors in three-dimensional
October 28, 2015
Hans P. Paar
4C Quiz #2
This Quizz is closed book.
Make sure to always indicate positive directions and make large and neat
ﬁgures. Specify the units of numerical answers.
The electron’s mass m = 9.11 X 10—31 Kg and its charge [6| 2 1.6 x
H.P. Paar
PHYS 4C: Electrmagnetism
Fall 2015
Quiz # 4 solutions
Solutions by Yury Kiselev
1. (10 points)
~
The dielectric slab is neutral and the electric eld is uniform, so total force F =
Z
~
~
E dq = EQtot = 0.
2. (30 points)
(a) (6 points) Voltage acr
H.P. Paar
PHYS 4C: Electrmagnetism
Fall 2015
Quiz # 3 solutions
Solutions by Yury Kiselev
1. (10 points)
(a) (5 points) Resistance of the copper wire is
Rc =
l
A
=
4l
.
D 2
Because conductivity is the reciprocal to resistivity, resistance of the aluminum
H.P. Paar
PHYS 4C: Electrmagnetism
Fall 2015
Quizz # 1 solutions
Solutions by Yury Kiselev
1. (20 points) We will assume that the rst charge q1 is positive. The negative q1 would
result in the opposite sign for charge q2 .
The electric eld at point P is
q
December 2, 2015
Hans P. Paar
4C Quiz #4
This Quizz is closed book.
Make sure to always indicate positive directions and make large and neat
gures. Specify the units of numerical answers.
PROBLEM 1 (10 points).
An innite two dimensional slab of dielectric
H.P. Paar
PHYS 4C: Electrmagnetism
Fall 2015
Quiz # 2 solutions
Solutions by Yury Kiselev
1. (15 points)
(a) (8 points) Electric eld components are
Ex = V = 2x ln (z)
x
Ey = V = 2y ln (z)
y
Ez = V = (x
z
2 +y 2 )
z
> 0,
where < 0, so = |.
So, Ez depends o
This document is stored in Documents/4C/nablaoperator.tex. Compile it
with LaTex.
November 12, 2014
Hans P. Paar
VECTOR CALCULUS
1
Introduction
Vector calculus is a branch of mathematics that allows dierentiation and
integration of (scalar) functions and
October 12, 2015
Hans P. Paar
4C QUIZZ #1
This Quizz is closed book.
Make sure to always indicate positive directions and make large and neat
gures. Specify the units of numerical answers.
The electrons mass m = 9.11 1031 Kg and its charge |e| = 1.6 1019