PH 1120
Term B, 1997
STUDY GUIDE 1
1. What are study guides?
They are handouts that provide you with information indicating what
is expected of you to pass the course and serve as an aid in using the
textbook.
2. What is in them?
The guides contain statements of the objectives around which the course
is designed. They point to particularly important sections of the text.
They single out especially valuable examples worked out in the text. They
list problems that you should attempt in order to see if you satisfy the
objectives of the course.
3. What are the objectives?
They are statements indicating what we think you should be able to
do to demonstrate that you have learned the material.
4. Are the study guides useful?
If you use them, yes. They will help you pass the course and learn
some physics. If you don't use them, they are of no use!
Objective 1
State Coulomb's law. (This means write it out in symbolic form and
make sure you can define each symbol used in the expression.)
Given a set of point charges (two or more) at rest at specified locations,
calculate the resultant force (vector quantity) on one of the charges caused
by the other charge(s).
ALL VECTOR QUANTITIES MUST BE EXPRESSED EITHER IN COMPONENT FORM
( i,j,k NOTATION) OR IN TERMS OF A MAGNITUDE AND AN ORIENTATION
RELATIVE TO WELL DESIGNATED COORDINATE AXES.
Suggested Study Procedures
Read Secs. 22-1 through 22-4. Study carefully Sec. 22-5. KNOW WHAT
THE PRINCIPLE OF SUPERPOSITION MEANS AND HOW TO APPLY IT TO SOLVE PROBLEMS.
Examples 22-1 through 22-4 are particularly important. Make sure you can
solve problems similar to Example 22-4.
Suggested Exercises and Problems Related to Objective 1:
Do this one first. Determine the unit vector directed
a) from (0,0) to (0,3); b)
from (0,0) to (4,0);
c) from (0,0) to (4,4);
d) from (1,2) to (2,3); e)
from (3,1) to (-3,-1).
Exercises: 22-1, 22-9, 22-13 Problems: 22-15, 22-62
Objective 2
a) Define the electric field.
b) Calculate the electric field due to a set of point charges at rest
at specified locations.
c) Determine the motion of a charge passing through an electric field.
Suggested Study Procedures
Study Secs. 22-6 and 22-7 paying particular attention to examples
22-5 through 22-9. You should examine Examples 22-10, 22-11, and 22-12
as we will refer to them later in the course.
Suggested Exercises and Problems Related to Objective 2
Exercises: 22-23, 22-25, 22-28, 22-29, 22-30, 22-35, 22-36 Problem:
22-73
Objective 3
Sketch qualitatively the electric field lines associated with: (see
the rules below).
a) a single point charge of given polarity;
b) two or more stationary point charges of given relative magnitude
and polarities;
c) a point charge or point charges in the vicinity of a conducting
surface.
Suggested Study Procedures
Study Sec. 22-8.
One difficulty faced by students of electricity is that the electric
field seems so abstract or ethereal; there's nothing solid to help get
an idea of what is going on. Electric field lines form a useful way to
picture how the electric field behaves in space.
Rules for drawing electric field lines:
1. Field lines begin and end only on charges.
2. The number of lines beginning at a positive charge or ending at
a negative charge is proportional to the charge.
3. At each point along a field line the direction of the field line
is parallel to the direction of the force experienced by a small positive
test charge placed at that point.
4. The density of field lines (the number of lines passing through
an area of one square meter whose surface is perpendicular to the lines)
is proportional to the magnitude of the field.
5. No two field lines can cross.
6. Under electrostatic conditions, field lines always meet the surface
of a conductor perpendicularly; under electrostatic conditions no field
lines penetrate a conductor.
Suggested Problem Related to Objective 3
Sketch electric field line diagrams for each of the following configurations:
a) · +q
b) · -q
· -2q
· 3q
-q
c) d)
Homework assignments
The homework assignments are an important part of the course and overall
will count as 10% of your grade. While there will be no attempt to keep
students from working with each other, blatant copying of the work of another
will only lead to a sense of false security on examination work.
There will be an attempt to make the homework problems as realistic
as possible, so you are encouraged to view them as something more than
exercises to answer.
PLEASE NOTE THAT HOMEWORK SOLUTIONS WILL ONLY BE ACCEPTED IN LECTURE!
ON THE DUE DATE.
HOMEWORK ASSIGNMENTS FOR STUDY GUIDE 1
Homework Assignment #1 - due in lecture Friday, Oct. 31
A small charge of 5 x 10 -6 C is located at the point x
= 2 m, y = 2 m in the x-y plane. A second small charge of - 3 x 10 -6
C is at the point x = 5 m, y = -2 m.
a) Draw a diagram showing the two point charges in the x-y plane.
b) Calculate the force that the first charge exerts on the second. Remember:
FORCE IS A VECTOR so you must give a magnitude and direction or express
your answer in vector notation (specifying the i and j directions).
c) Calculate the force that the second charge exerts on the first charge.
Suppose the second charge was moved from (x = 5m, y = -2m) to the point
(x = 5m, y = 2m). Without detailed calculation, answer the following:
d) Would the magnitude of the force on the second charge be larger than,
smaller than, or the same as before it was moved?
e) Would the direction of the force be the same or different?
Homework Assignment #2 - due in lecture Monday, Nov. 3
For the problem in Homework #1:
c) Suppose the –2 x 10 –6 C charge at the origin is replaced
by a +2 x 10 –6 C charge. Is the magnitude of the force on the
+2 x 10 –6 C charge larger than, smaller than, or the same as
it was on the –2 x 10 –6 C charge?
Homework Assignment #3 - due in lecture Wednesday, Nov. 5
Problem 22-75 in the text, but with v o =6.50 x 10
6 m/s and directed 40º
above the horizontal.
22-75 d) Suppose a particle of mass equal to twice the electron’s mass
but the same charge is projected into the field. Will the answer to part
b) be greater than, smaller than, or the same as before.
Homework Assignment #4 - due in lecture Friday, Nov. 7
a)Problem 22-32 in the text
b)Problem 22-32 but q2 = - 3.00 nC. Is there a point where
E = 0 ? If so, where is it?