RIGHT HAND RULE- COORDINATE SYSTEM
(Section 2.7)
1
POSITION VECTOR COORDINATE SYSTEM
A position vector is defined as a fixed vector that locates a
point relative to another point.
Before 3-D, lets look at a 2-D
case.
Write vector OA, and then a unit vecto

Why?
Are we spending so much time on these abstract things
called electric fields?
Because E-fields are real. They cause charges to move,
currents to flow, and your toaster and brain cells to work.
And because the basic rules for electromagnetism are r

Administrative Stuff
Quiz 3 Is Friday, October 21, 4:30-5:45, CW101-102103.
Magnetic force and torque. Faradays law and
inductance. AC circuits.
Review will be Wednesday evening, October 19, 7:30
PM, CW 102.
SAS review will likely be Thursday, October

Quiz 2
Is Friday, Sept. 30, 4:30-5:45, CW101,102,103.
Covers material through next Wednesday: electric field,
voltage, and capacitance calculations using
superposition methods and Guasss Law.
A review will be given Wednesday evening, Sept. 28, at
7:30P

Announcements
Dr. D. will lecture next week. I will be out of town, by
available by e-mail.
You have one week to bring up any grading issues on
Quiz 1 with your primary studio instructor.
Building Up E-Fields by Superposition
The electric field produced

The End Game
Next week: Thanksgiving Holiday.
Following week: Quiz 5
Week after that: last two lectures.
Friday after that: Final Exam.
Remaining topics: for Quiz 5, geometric optics,
interference effects; for the last week, sources of light.
Scattering o

A sheet of current
The plane of wires extents to in each direction.
Define n as the number of wires/length. Each wire
carries current I.
By symmetry and the right hand circulation rule for
direction, B points right above the plane and left below.
It is

Your Fall 2016 Motor Madness Winners
Aaron Florian, Braden Mishler, Cole Nyffeler, Jesus
Quintanilla-Cruz.
Who win:
The right to make three questions for Quiz 3.
Fabulous prizes!
And most important, the esteem and adulation of their peers.
Faradays L

Quiz 2
Is Friday, Sept. 30, 4:30-5:45, CW101,102,103.
Covers material through next Wednesday: electric field,
voltage, and capacitance calculations using
superposition methods and Gausss Law.
A review will be given Wednesday evening, Sept. 28, at
7:30P

Administrative Stuff
Quiz 4 Is Friday, November 4, 4:30-5:45, CW101-102103.
The laws: Biot-Savart, Ampere, Faraday, Lenz; plus
displacement current and Maxwells equations.
Review will be Wednesday evening, November 2, 7:30
PM, ACKERT 120 (NOTE CHANGE).

Maxwells Equations:
The da Vinci Code of Electromagnetism
Solution to ME in Free Space:
Under certain conditions, these functions for E and B
solve Maxwells Equation for the case q=I=0 (i.e., in
empty space):
E=E0sin(kz-wt)i.
B=(E0/c)sin(kz-wt)j.
Thes

One slide rules review
Everything same as last semester. Check K-State
Online for details.
Best four quizzes (400 points). Best 25 of everything
else (400 points). Final exam (200 points).
D,C,B,A = >600, >700, >800, >900, respectively.
No make-ups.

Quiz 2
Will be returned in studio.
Many of you got clobbered.
We teach EP2 to the international standards for
engineering and science.
We will not change this.
Fishing for equations does not work. Many of you must
up your game.
EP2 requires a seriou

Electrostatic Potential Energy
Reminder:
Work(r1r2) = Fdr, evaluated from a starting value
r1 to an ending value r2.
For conservative forces, DPE(r1r2) = -W(r1r2).
Whats new:
The electric force is conservative.
So the electric potential energy of a

Quiz 2-redemption
Well provide a one-time second shot at Quiz 2, this
FRIDAY, OCTOBER 7, 4:30-5:30 in CW101, 102, 103
lecture halls.
Note the time: 60 minutes, not 75 minutes.
The problem solving part of Quiz 2 will be re-presented
in a multiple choice

Amperes Law
Here it is in words: the line integral of the magnetic field
around any closed path is a constant times the current
passing through the area enclosed by the path.
In equation form
B
d
m
I
0
enc
The constant m0 is called the magnetic permeab

Administrative Stuff
Quiz 3 Is Friday, October 21, 4:30-5:45, CW101-102103.
Magnetic force and torque. Faradays law and
inductance. AC circuits.
Review will be Wednesday evening, October 19, 7:30
PM, CW 102.
SAS review will likely be Thursday, October

Approaches to B-field calculations
As with electric fields, there are two complementary
approaches to computing magnetic fields from known
field sources, currents in this case.
A direct brute-force approach based on superposition
that always works, in p

EQUILIBRIUM OF A PARTICLE, THE FREE-BODY
DIAGRAM & COPLANAR FORCE SYSTEMS
Todays Objectives:
Students will be able to :
a) Draw a free body diagram (FBD), and,
b) Apply equations of equilibrium to solve a
2-D problem.
READING QUIZ
1) When a particle is in

MOMENT OF A FORCE (SCALAR FORMULATION),
CROSS PRODUCT, MOMENT OF A FORCE (VECTOR
FORMULATION), & PRINCIPLE OF MOMENTS
Todays Objectives :
Students will be able to:
a) understand and define moment, and,
b) determine moments of a force in 2-D and
3-D cases.

MOMENT ABOUT AN
AXIS
Dr. Asad Esmaeily
1
MOMENT ABOUT AN AXIS
Todays Objectives:
Students will be able to determine the moment of a force about
an axis using
a) scalar analysis, and,
b) vector analysis.
APPLICATIONS
With the force P, a person is creating

MOMENT OF A COUPLE
Todays Objectives:
Students will be able to
a) define a couple, and,
b) determine the moment of a couple.
Dr. A. Esmaeily
1
READING QUIZ
1. In statics, a couple is defined as _ separated by a
perpendicular distance.
A) two forces in the

CARTESIAN VECTORS & ADDITION &
SUBTRACTION OF CARTESIAN VECTORS
Todays Objectives:
Students will be able to :
a) Represent a 3-D vector in a
Cartesian coordinate system.
b) Find the magnitude and
coordinate angles of a 3-D vector
c) Add vectors (forces) i

FORCE VECTORS, VECTOR OPERATIONS
& ADDITION COPLANAR FORCES
Todays Objective:
Students will be able to :
a) Resolve a 2-D vector into components.
b) Add 2-D vectors using Cartesian vector notations.
READING QUIZ
1. Which one of the following is a scalar q

DOT PRODUCT
Todays Objective:
Students will be able to use the dot product to:
a) determine an angle between two vectors,
and,
b) determine the projection of a vector along
a specified line.
READING QUIZ
1. The dot product of two vectors P and Q is
define

WHAT IS MECHANICS?
Study of what happens to a thing (the technical name is
BODY) when FORCES are applied to it.
Either the body or the forces could be large or small.
BRANCHES OF MECHANICS
Mechanics
Rigid Bodies
(Things that do not change shape)
Statics

Reduction of Distributed Forces
Chapter 4, section 9
Dr. A. Esmaeily
1
REDUCTION OF A SIMPLE DISTRIBUTED LOADING
Todays Objectives:
Students will be able to determine an
equivalent force for a distributed load.
=
READING QUIZ
1. The resultant force (FR) d

EQUIVALENT SYSTEM OF FORCES
Chapter 4, sections 7 and 8
Dr. A. Esmaeily
1
SIMPLIFICATION OF FORCE AND COUPLE SYSTEMS
& THEIR FURTHER SIMPLIFICATION
Todays Objectives:
Students will be able to:
a) Determine the effect of moving a
force.
b) Find an equivale

EQUILIBRIUM OF A RIGID BODY
&
FREE-BODY DIAGRAMS
Todays Objectives:
Students will be able to:
a) Identify support reactions, and,
b) Draw a free-body diagram.
READING QUIZ
1. If a support prevents translation of a body, then the support exerts a
_ on the

Quiz 1 is.
Friday, September 2, 4:30PM, CW101,102,103.
Covers voltage, batteries, capacitance, resistance,
circuits.
Review, 7:30PM Wednesday, September 30, CW102.
SAS Review, TBA.
Capacitor test-1
A.
B.
C.
D.
What is |V2-V1| across the 0.1 mF capacit

Electrostatic Potential Energy
Reminder:
Work(r1r2) = Fdr, evaluated from a starting value
r1 to an ending value r2.
For conservative forces, DPE(r1r2) = -W(r1r2).
Whats new:
The electric force is conservative.
So the electric potential energy of a

A concave spherical mirror
Define the optical axis as a line normal to the sphere that
goes through the center.
Using s and s for object and image distance,
respectively, we show on the board that for objects
placed on or near the optical axis, 1/s+1/ s

Maxwells Equations:
Solution to ME in Free Space:
Under certain conditions, these functions for E and B
solve Maxwells Equation for the case q=I=0 (i.e., in
empty space):
E=E0sin(kz-wt)i.
B=(E0/c)sin(kz-wt)j.
These are electromagnetic waves, propagati

Administrative Stuff
Quiz 4 Is Friday, November 4, 4:30-5:45, CW101-102103.
The laws: Biot-Savart, Ampere, Faraday, Lenz; plus
displacement current and Maxwells equations.
Review will be Wednesday evening, November 2, 7:30
PM, CW 102.
A progress repor