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Transcript
Physics 102:
Introduction to Physics
n
Same course procedures as Physics 101
n
Labs start next week
n
Lectures by Ed Groth
n
Electromagnetism-Waves-Optics-Quantum-Nuclear
n
Course web page is
http://physics.princeton.edu/~groth/phys102s02/
7 Feb 2002
Physics 102 Lecture 1
1
7 Feb 2002
Physics 102 Lecture 1
2
Electric Charges
n
Electric charge is a conserved property of matter
Charge can be moved from one body to another
u The smallest unit of charge appears to be
u
e = 1.6 ×10 −19 C
the proton charge. The electron charge is -e
n
n
Opposite charges attract each other, and like
charges repel each other.
kq1q2
Coulomb’s Law:
F
r
2
with k
8.99x109 Nm 2 / C2
note similarity to Newton’s law of Gravity.
7 Feb 2002
Physics 102 Lecture 1
3
A
B
C
D
E
7 Feb 2002
F
G none of the above
Physics 102 Lecture 1
4
Charging
Charges move freely through conductors (e.g., copper, gold, …) but
stay where they are placed on insulators (e.g., wood, rubber, …).
n
Charging by contact
u a charged rod is brought into
contact with a conductor, and
u charges are transferred to the
conductor
-- --- -- --- --Electroscope
n
Charging by induction
u a charged rod is brought near
a conductor
u the conductor is grounded
u the charged rod is removed.
7 Feb 2002
Physics 102 Lecture 1
5
Kelvin Generator
mildly conducting water
wire loops
water drops
How do
electroscopes
get charged ?
electroscopes
Hint: imagine that one drop starts
out with a small charge on it.
7 Feb 2002
Physics 102 Lecture 1
6
The Electrophorus
n
n
n
n
7 Feb 2002
First the rubber (insulator)
is negatively charged by
friction.
When the metal plate
(conductor) is brought
near, a charge separation
is induced, then
negative charge flows to
ground from top of plate.
When the plate is removed,
it has a net positive charge
Physics 102 Lecture 1
7
Conductors
If we place charge onto a conducting
surface, where does it reside?
Why?
7 Feb 2002
Physics 102 Lecture 1
8
The Electric Field
n
n
n
The electric field is the force per unit charge on a
test charge: E = F / q
It is a vector, pointing in the direction a positive
charge would be accelerated.
The field at a point is the (vector) sum of the fields
due to each charge.
•Field lines begin at positive charges and
end at negative charges.
•The electric field is tangent to the field
lines at all points.
•The density of field lines is proportional
to the strength of the field.
7 Feb 2002
Physics 102 Lecture 1
9
The electric field
induces charges on
the grains which in
turn produce torques
that align the grains
with the field.
7 Feb 2002
Physics 102 Lecture 1
10
A point charge
attracted to a
conducting copper
sphere. The charge
on each is the same.
The point charge is
initially moving
away from the
sphere but does not
have enough energy
to escape.
The green lines show the electric field
From http://web.mit.edu/jbelcher/www/
7 Feb 2002
Physics 102 Lecture 1
11
An electric field points to the right as shown.
3
2
4
5
1
If the charge is
negative, which of the
paths is possible?
A) 1, 2
B) 3
C) 4
6
D) 2
Initial velocity
7 Feb 2002
Physics 102 Lecture 1
E) 6
12
Gravitational and Electric Potential Energy
n
n
Recall that the work done
against gravity is the
change in gravitational
potential energy
WAB=mghA-mghB=GPEAGPEB
7 Feb 2002
We also do work moving a
charge in an electric field
(force is F = qE )
n WAB=EPEA-EPEB
(change in electric potential
energy)
n
Physics 102 Lecture 1
13
Voltage
n
The voltage of an object tells you its
Electrical potential energy per unit charge
∆V
n
n
∆EPE
q0
Units are J/C
Just as for gravitational potential energy, we can
sense only differences in electrical potential
energy --OR VOLTAGES.
Zero is arbitrary: far away (infinite separation) or in
lab, “ground”.
7 Feb 2002
Physics 102 Lecture 1
14
+
+
+
+
The Van de Graaff Generator
+ brush
+
+
+
7 Feb 2002
Physics 102 Lecture 1
15
The Human Electroscope
7 Feb 2002
Physics 102 Lecture 1
16