Kevin Barrett and Charlie Pafalas
Avon Lake High School
January 6, 2016
Potential Energy can be defined as the energy that is stored in an object where the max
potential energy is the most energy the system can ever have. Gravitational potential energy ca
Jacob Anthony Gottshall and Kevin Francis Barrett Present
Standing Waves Within a Tube
Avon Lake High School
16 March 2016
Sound is defined as the physical sensation that stimulates our ears and is created by a
vibration that travels across a medium. A wa
Jake Gottshall and Kevin Barrett
Ideal Gas Law
Avon Lake High School
16 March 2016
A gas is a state of matter whose particles takes up no real volume and takes the shape of
the area it is in. An ideal gas is made up of particles assumed to have a negligib
y (m)
d (m)
m
0.00815 0.0006
0.0074833 0.0006
0.0089167 0.0006
0.0093333 0.0006
0.00995 0.0006
y measure m
0.0489
0.0449
0.0535
0.056
0.0597
L (m)
1
7.361
1
6.828
1
8.027
1
8.58
1
9.206
Actual m
6
6
6
6
6
y (m)
d (m)
m
0.0085833 0.0006
0.0044429 0.0012
0.
Physics 192 Equation Sheet for Exams
Good Stuff from 191:
r
v
Kinematics: ~v = d~
a = d~
a = const : x = x0 +v0 t+ 21 at2 ; v = v0 +at; v 2 = v02 +2ax)
dt ; ~
dt ; (~
Dynamics:
F~ = m~a
P
P
Conservation of Energy:
Wnc = K + U ; K = 21 mv 2 ; Ugrav = mgy;
Sources of Magnetic Field: Summary
Single Moving Charge (Biot-Savart for a charge):
Steady Current in a Wire (Biot-Savart for current):
Infinite Straight Wire:
Direction is from
the Right Hand Rule
The Magnetic Field of a Current Loop
Your author uses the
Relative Velocities
A few classes ago, we had the Galilean Velocity Transformations (GVT):
S measures
components:
S measures
components:
The transformations relate the
velocity components as observed
in one frame to what is observed
in another frame.
Gali
Electromagnetic Induction
I really dont like the order in which your author presents the material in this
chapter, so Im going put in a slightly different order.
Introduction:
Recall what the Biot-Savart Law and, more generally, Amperes Law say:
Electric
The Basics of Special Relativity (SR)
Before we begin, we should make sure that were all clear on one point: Whats
Special about Special Relativity?
Does this mean that this theory was a particular favorite of its inventor,
Albert Einstein?
No, as we will
1) Kristin buys a corporate bond with a face value of 1000 for $900 the bond matures in 10 years
and pays a coupon interest of 6% interest is paid every quarter
a. Determine the effective rate of return if Kristin holds the bond maturity
b. What annual ef
Combinations of Resistors
Sometimes in a circuit, combinations of resistors can be combined into a
single equivalent resistor.
Resistors in Series (series means the same current), e.g. for three resistors:
As shown in your text, these three resistors can
Review of Faraday & Lenzs Laws
For a conducting loop in a magnetic field:
which way?
Faradays Law gives the Induced EMF
and Current:
Resistance R
Lenzs Law gives the direction of the induced current:
Now that we have some experience with Faradays and Lenz
The Transformation of Fields
So far in our journey through electromagnetism, weve seen how charges create
both electric and magnetic fields; however, if youve been paying very close
attention, you have perhaps noticed a very serious problem.
The Problem:
Get to Know Your New Group Members
First activity (~5 minutes):
Introduce yourselves within your group
Suggested topics:
Name
Year of school
Major
Hometown
Goal for this semester
Why you are taking physics, and how much you love it?
What do you h
Electric Potential
Consider a charge in an arbitrary external electric field created by some source charges:
Define:
Electric Potential* at
The location of q
Or:
Note: like the electric field, the potential is a property of the source charges
and exists w
The General Resistor Circuit Problem
Were now ready to attack the general resistor circuit problem that may have many
sources of EMF, many resistors, and many loops.
Remember, the basic laws that well need are the Kirchoff Laws:
Kirchoff Junction Law:
Kir
Magnetic Forces
Now that we know how to calculate the magnetic fields produced by charges,
were ready to study how externally created fields exert forces on charges.
The Magnetic Force on a Charge:
Force on q:
Note:
1
A Quick Whiteboard Problem: 29-13
Det
Sources of Potential (EMF)
A source of potential difference is sometimes called a source of EMF, a widely used
term, which stands for ElectroMotive Force. Your author points out that this is
an outdated term since Force may or may not be involved when the
Electric Current
In chapter 24, we saw that for a conductor in equilibrium, any free charges move
to the outside surfaces and the electric field inside the conductor is zero.
We now want to lift this equilibrium condition and examine what happens to
the f
Dynamics in SR: A Summary
Last time, we developed the basic equations of relativistic dynamics.
Heres a summary:
Relativistic
Momentum
Kinetic Energy
Total Relativistic
Energy
Relation between
Energy and momentum
Where:
Newtonian (u < c)
Whiteboard Proble
Resistor Capacitor (RC) Circuits
So far, we know how to handle resistors in a circuit:
What happens when
the switch is closed?
A steady current
flows in the circuit
What happens if we also put a capacitor in the circuit?
Now, close the switch; what happen
Special Relativity
Last time we reviewed classical Galilean relativity and looked at
some of the issues presented when you try to include Maxwells
Electromagnetism heres a quick review.
Cass 2 (use VLC)
We also reviewed the Galilean Transformations , the
Electric Potential Energy
Back in PHY191, we learned how to solve problems using
The Conservation of Mechanical Energy:
Where:
System
System
initial
final
Whiteboard Problem: 25-1; 191 Flashback
A ball of mass m is released from rest at a height h above t
Connecting the Electric Field and the Potential
Remember what the electric field and
potential are:
They both describe how source charges
communicate their electric effect over
all space.
They describe the same thing, but in
a slightly different language.
Resistance
If we take a sample of conducting material; and connect its ends to a battery:
Cross section, A
Resistance
Cross section, A
Ohms
Law
Or:
So:
Current is directly proportional to the potential
Where:
Units of resistance:
is the Resistance of the
After Break Chapters 25 & 26 Review
Electric Potential Energy:
Charge in a Uniform Electric Field:
Two Point Charges:
For more than two charges, add
up pairwise sum
After Break Chapters 25 & 26 Review
Electric Potential (PE per unit charge):
Uniform Field