Physics NYB: Electricity & Magnetism
Acceleration and Deflection of Electrons
A cathode ray tube consists of a heating element which heats a metal sufficiently that electrons can be
released (thermionic emission), an electron gun which accelerates those e
The diagram below shows a particle of charge +1 C near a
fixed positive charged particle (q). This 1 C particle has 4 J
of potential energy. If a particle of charge 2 C were placed
at the same spot, what potential energy would it have?
(1) 1 J
1C
q
(2) 2
Two charged particles (+2e and -6e) are held close to
each other. Which diagram shows the forces they
experience? (The length of the vectors represents the
amount of force.)
1)
+
- -
2)
+
- -
3)
+
- -
4)
+
- -
5)
+
- -
Two charged particles (+2e and -6e)
Shown below are 5 particles with the same amount of
charge in a uniform electric field between parallel charged
plates. Which particle has the most potential energy?
_
+
(1)
_
(4)
+
(2)
(5)
_
(3)
+
+
Shown below are 5 particles with the same amount of
cha
An electron is placed
at the position marked
by the dot. The force
on the electron is
1. to the left.
2. to the right.
3. zero.
4. Theres not enough information to tell.
An electron is placed
at the position marked
by the dot. The force
on the electron is
The diagram below shows a particle of charge +1 Coulomb near
another charged particle (q). This 1 C particle experiences a
force of 9 N. If instead a particle of charge 3 C were placed at
the same spot, what force would it experience?
1C
1) 1 N
2) 3 N
q
3
Two charged particles are situated as shown; each
experiences a force due to the presence of the other.
What is the direction of the force on the blue particle?
1)
3)
2)
4)
+
+
+
+
Two charged particles are situated as shown; each
experiences a force due
Linear Algebra I (201-NYC-05)
Instructor: J. Lucier
Worksheet
Linear Systems
1. Find the general solution of the linear system.
4
x 3y 2z =
2x + 4y +
z = 2
(a)
3x y 2z =
4
x + 2y z = 2
3x + 6y + z = 2
(b)
2x + 4y z = 3
2. In each part find
linear system
Worksheet
Transformations
1. Let T1 : R2 R2 denote the linear transformation that rotates points by /4 radians (counterclockwise)
and let T2 : R2 R2 denote the linear transformation that reflects points across the line y = x.
(a) Give the standard matrice
Worksheet
Determinants
1. Find the determinant of the given matrix
2 0 1 4
1 2
0 3
(a)
3 0
1 2
2 0
3 1
a
c
b
d
a
c
b
d
a
c
b
d
a
c
b
d
2. (a) Given det
(b) Given det
(c) Given det
(d) Given det
a 1
(e) Given det 0 b
0 0
(b)
2
0
1
0
0
2 2
0
0
3 3
0
0
201-NYA-05 Test #3
Important Topics
What follows is a list of important topics for the second test. When combined with a good understanding of the homework exercises and in-class examples, this should provide a good basis for
your understanding the materi
201-NYA-05 Test #2
Important Topics
What follows is a list of important topics for the second test. When combined with a good understanding of the homework exercises and in-class examples, this should provide a good basis for
your understanding the materi
Review for Test #2:
All homework (as well as questions similar to homework questions), and anything that was
discussed in class from sections 2.7, 2.8, 3.1, 3.2, 3.3 or 3.4 is fair game for the test. It may also
help you to look at some of the following e
Common Errors Seen in First Year University Math Classes
Do not walk into a rst year university mathematics classroom without being aware of the
following common errors. At this point in your Pre-Calculus course, you may not have
encountered all of the co
Calculus II Science
Practice Test #2 - Page 1 of 1
1. Sketch the region enclosed by x = 2y 2 and x = 4 + y 2 , and find
its area.
16/03/14
ANSWERS:
1.
2. Find the value a such that the line x = a divides the region
bounded by y = ex , the x-axis, the line
Bonus Assignment
Calculus II NYB
Fall 2016
Due Date: 13/12/16
Name (Print):
Student Number:
Series summary instructions:
Similarly to the assignment on integration techniques, produce a study guide to series testing.
Reading your guide should allow a pers
Calculus NYB
Winter 2016
Test 2 - Page 1 of 1
18/03/16
Name:
Please answer the following in the exam booklet provided, in whatever order you like, but labeling each
question and final answer clearly.
1. Evaluate each of the following indefinite integrals.
Linear Algebra for Science
Tuesday, February 14th, 2017
Caroline Lefebvre
Name:_
TEST #1B
There are 38 points available to be earned on this test, but the final mark will be out of 35.
1) [5 points] Recall that the graph of a quadratic function
is a parab
Calculus NYB
Winter 2015
Test 4
11/05/15
Time Limit: 90 Minutes
Name (Print):
Student Number:
This exam contains 6 pages (including this cover page) and 7 problems. Check to see if any pages are missing.
Enter all requested information on the top of this
D
M
epartment of
athematics
Final Examination
21 December 2015
09:00-12:00
CALCULUS II
201-NYB-05
Instructors: W. Boshuck, F. Lo Vasco, R. Masters, S. Mikhail, L. Takei
Student name:
Student number:
Instructor:
Instructions
1. Write all of your solutions
201-NYB Final Exam December 2008 Calculus II
(4)
1. Find the slope of y when x = 5/4.
5
4
y=
16 2 + 6 arctan 5 x
5+ 5 x
(24)
2. Evaluate the integrals. Exact answers only. No decimals.
Z
Z
2
ln (ln x)
(a)
(xex + ) dx
(b)
dx
x
Z
Z 1
2x2 3x + 4
(e)
dx
(d)
CEGEP
JOHN ABBOTT
COLLEGE
Examinations
from previous terms
Winter 2006
C ALCULUS II
(M ATHEMATICS 201NYA-05)
1. Let y = arcsin(1/x) + arcsec x, for x > 1. Find dy/dx and simplify your
answer.
2. Evaluate each of the following integrals.
Z
Z
x + 21
(a)
dx