Unformatted text preview: Welcome to Physics 212 http://online.physics.uiuc.edu/courses/phys212 This lecture is VERY full. Please sit next to
someone nice. (There won’t be empty seats!).
Festival seating up front !!
01 Physics 212 Lecture 1, Slide 1 Physics 212
Lecture 1
Today's Concepts:
a) Coulomb’s Law
b) Superposition 03 Physics 212 Lecture 1, Slide 2 Physics 212 - Intro
Physics
http://online.physics.uiuc.edu/courses/phys212 Everything can be found online – GO THERE
Everything
• You have web based pre-lectures and pre-flights due before every
before lecture.
lecture. • You have web based homework due every week.
• Be sure to complete prelecture 2 and preflight 2 before 8 am on
Thursday.
• Bring pen & notebook to lecture – you will be working on problems
• Register your clicker ASAP so you can see your participation grade. Labs & Discussions
•
• 05 Discussion Sections meet this week
Labs start August 30th, must have prelab done before! Physics 212 Lecture 1, Slide 3 How your grade will be calculated Prelectures + Preflights + Lectures 100 14 Homework + 10 Quizzes 250 Labs 150 Hour exams (3 x 100 each) 300 Final Exam Prelectures:
50
50
Preflights:
25
25
Lecture participation: 25
Lecture participation 200 Your top 22 HW/Quiz scores
determine your grade out of
250.
250. Bonus Points: You can earn up to 1 extra bonus point iin every
n
You
extra
lecture (for a maximum of 25 bonus points for the semester) by
getting the right answers to all of the clicker questions.
getting
At the end of the semester your lecture bonus points are
At
added to your HW/Quiz score (250 max).
You can make up for several bad quizzes by
answering correctly in class. 06
06 Physics 212 Lecture 1, Slide 4 Q: What are the benefits of participating ?
A: You learn more
30 Viewer
Non-Viewer 25 Data from last year’s first exam
20 15 10 5 0
43 48 52 57 61 65 70 74 78 83 87 91 96 100 Exam Score Students who… Exam 1 average Viewed pre-lectures
Blew through pre-lectures
07 80%
73%
Physics 212 Lecture 1, Slide 5 Big Brother is Watching
• How Do We Distinguish “Viewers” from “Non-Viewers”?
– We log all keystrokes !! Results for today’s lecture Physics 212 Lecture 1, Slide 6 Clickers
• Research shows you learn more when you talk!
• 1 point for each lecture
• Maximum of 25 points!
– (No EX’s but there are 28 lectures) • Maximum 1 bonus point/lecture
IMPORTANT:
The class next door (at 2pm) also is using i>clickers
We need to run at a different frequency
1. Power On
2. Hold ON/OFF until POWER light flashes
09 3. Press BB Physics 212 Lecture 1, Slide 7 Music BB Who is the Artist?
A)
B)
C)
D)
E) Eric Clapton
Bill Frisell
Bill Frisell
Jimmy Page
Jeff Beck
Buddy Guy Why?
My vote for most memorable performance at
My
New Orleans Jazzfest by a big name!
Jazzfest
Somewhere over the Rainbow
People Get Ready
Amazing….
Physics 212 Lecture 1, Slide 8 One Other New Thing: Homework points Immediate feedback questions 11 performance Physics 212 Lecture 1, Slide 9 Homework: Delayed Feedback
Purpose:
Purpose:
Promote
REFLECTION
REFLECTION These questions serve as a
These
test of your understanding of
the questions posed as
immediate feedback. After first deadline
After
Delayed feedback questions
Delayed
turn into immediate feedback
questions. 80% credit can be
obtained by answering these
questions correctly before the
second deadline. 11 Physics 212 Lecture 1, Slide 10
10 Coulomb’s Law:
The force on a charge due to another charge is proportional
The
to the product of the charges and inversely proportional to
the separation squared. q2 q1 r q1q2
F∝ 2
r The force is always parallel to a line connecting the charges,
The
but the direction depends on the signs of the charges:
but
q2
q2 q1 q2
11 q1 q1 Opposite signs attract
Like signs repel
Physics 212 Lecture 1, Slide 11
11 BB Balloons
Take two balloons and rub them
Take
both with a piece of cloth. After
you rub them they will:
you
A) Attract each-other B) Repel each-other
C) Either – it depends on the material of the cloth
Either 13 Physics 212 Lecture 1, Slide 12
12 Balloons
If the same thing is done to both balloons
If
same thing
they will acquire the same sign charge.
same sign
They will repel !
They +
++
+ 14 +
++
+ Physics 212 Lecture 1, Slide 13
13 Coulomb’s Law
Our notation
Our kq1q2
ˆ
F1,2 = 2 r1,2
r1,2 F1,2 is the force by 1 on 2 (think “by-on ”)
by on (think
on
ˆ
r12 is the unit vector that points from 1 to 2.
from to 2. Examples
Examples
If the charges have the same sign, the force by charge 1
on charge 2 would be in the direction of r12 (to the right)
q1 r1,2 q2 F1,2 If the charges have opposite sign, the force by charge 1
on charge 2 would be opposite the direction of r12 (left)
q1 F1,2
17
17 q2 r1,2 Physics 212 Lecture 1, Slide 14
14 Example: Coulomb Force
• Two paperclips are separated by 10 meters. Then you remove 1 electron
from each atom on the first paperclip and place it on the second one.
BB q1 q2
F = k 2 r12
ˆ
r12 k= 9 x
k= 109 N m2 / C2 electron charge = 1.6 x 10-19 Coulombs
NA = 6.02 x 1023 What will the direction of the force be?
What
A) Attractive 17 B) Repulsive
B) Physics 212 Lecture 1, Slide 15
15 Example: Coulomb Force
• Two paperclips are separated by 10 meters. Then you remove 1 electron
from each atom on the first paperclip and place it on the second one. q1 q2
F = k 2 r12
ˆ
r12 BB k= 9 x 109 N m2 / C2
k=
electron charge = 1.6 x 10-19 Coulombs
NA = 6.02 x 1023 Which weight is closest to the approximate force between those
paperclips (recall that weight = mg, g = 9.8 m/s2)?
A) Paperclip (1g x g)
B) Text book (1kg x g)
Text
C) Truck (104 kg x g)
kg
D) Aircraft carrier (108 kg x g)
(10
Aircraft
E) Mt. Everest (1014 kg x g)
kg 22 Physics 212 Lecture 1, Slide 16
16 Preflight 1 “The bigger charge will push the smaller charge harder than
The
the smaller will push the larger. “ 70
60
50
40 “According to Newton's Third Law, the charges exert equal
According
and opposite forces on each other. “ 30
20
10
0 A
24 B C “The forces of two objects are always equal and opposite.
The
both equasions involve the charge of both particles in the
same manner, therefore they are the same. .”
Physics 212 Lecture 1, Slide 17
17 Superposition:
If there are more than two charges present, the total force
If
on any given charge is just the vector sum of the forces due
vector
of
to each of the other charges:
to q2
F2,1 F4,1
F1 q1
F3,1 F1
F3,1 F2,1 F4,1 q4 q3 F1 = F2,1 + F3,1 + F4,1 + ...
28
28 Physics 212 Lecture 1, Slide 18
Physics BB Superposition ACT
What happens to Force on q1 if its sign is changed
A) |F1| increases
B) |F1| remains the same
C) |F1| decreases q2 D) Need more information to determine q1
q4
q3
30 Physics 212 Lecture 1, Slide 19
Physics The direction of all forces changes by 180o – the magnitudes stay the same:
The direction
the magnitudes
q2 q2
F4,1 F4,1
F1 q1 F2,1
F1 F3,1 q3 F2,1 F2,1 F3,1 q4
q3 F1 q1 q4
F2,1 F3,1 F3,1
F4,1 F1 = F2,1 + F3,1 + F4,1 + ...
33
33 F1 F4,1 − F1 = − F2,1 − F3,1 − F4,1 − ...
Physics 212 Lecture 1, Slide 20
Physics Try using our Coulomb Force simulation
(“simulations” link on the homepage)
Physics 212 Lecture 1, Slide 21
Physics BB Preflight
+Q Compare the magnitude of the net force
on q in the two cases.
A) |F1 | > |F2| B) |F1 |< |F2| D) Depends on sign of q q q |F1 | = |F2| C) +Q F2 = 0 F1
-Q +Q Case 1 Case 2 70
60
50
40
30
20
10
0 A B C D In case one, both of the forces are working in the same direction
(the downward direction) resulting in a greater net force as
opposed to case two where the repelling forces are working in
opposite directions in turn canceling each other out Both cases have a charged placed equidistant from charges of the same
magnitudes so no matter charge q has the forces at this instant are the same. 33 There is no way to tell if the forces on the center
charge are repulsive or attractive without
Physics 212 Lecture 1, Slide 22
Physics
knowing the sign of the center charge. Preflight
Four charged particles are placed on a
circular ring with radius 3 m as shown
below. A particle with charge Q is
placed in the center of the ring y What is the direction of
What
horizontal force on Q?
horizontal
A) Fx > 0 B) Fx = 0 3q x C) Fx < 0
Q 100
80
60
40 q q 20
0 q Great Job ! 41 Physics 212 Lecture 1, Slide 23
Physics BB Preflight
3q Four charged particles are placed on a
circular ring with radius 3 m as shown
below. A particle with charge Q is
placed in the center of the ring y Q What is vertical force on Q?
A) Fy > 0 B) Fy = 0 C) Fy < 0 x
q q
q 60
50
40
30
20
10
0 A B C Fy would equal 0 if all 3 of the bottom charges were on top of each other, but because they are
pulling at an angle, they will not equal the force of the 3q charge that is pulling only in the +Y
direction.
The y-direction components also cancel each other out since there is a charge or force of 3Q pointing
both upward and downward.
The two q charges on the side also have an x component so their Fy is not as great
thus the sum of the force from the bottom charges in smaller than the top charge. The
forces are repulsive so the charge will have a negative Fy.
Physics 212 Lecture 1, Slide 24
Physics
47 See you Thursday!
• Discussion Sections meet this week!
• Be sure to complete prelecture 2 and preflight 2
• Labs begin August 30th Physics 212 Lecture 1, Slide 25
Physics ...
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Full Document
- Spring '11
- MESTRE
- Physics, Force, Electric charge, coulomb force
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