* * * E & M * * *
(a Saint Ann's Study of)
* * * I & P. * * *

2017 - 2018

Daniel A. Martens Yaverbaum

Note:
LAST UPDATED october 10, 2017

Please continue to 'black-out' 2:45 PM TO 5:50 PM EVERY TUESDAY (F2017 - S2018).

but NOTE:

2:45 - 2:59 PM IS RESEARCH/TRANSITION TIME.
5:25 PM - 5:49 PM IS LECTURE-GRACE-PERIOD/HALF-OFFICE-HOUR.

WE WILL SUBJECT THE ABOVE TO DIFFERENT INTERPRETATIONS
UNDER DIFFERING CIRCUMSTANCES,

BUT BY 3:00 PM, WE'RE FULLY IN MOTION (V0<>0!)


DATE

LECTURE

READING

ASSIGNMENT

 EQUATIONS

September 12


* FIRST PRINCIPLES *

Introductions to:

1A) Gedanken Experiments,
B) 'Board Meetings',
C) Superposition vs. Interference,

2) The two things that thingy things cannot do (but which unthingy things can), i.e.:

The two constraints on particles that do not constrain

INFORMATION.

Page 1:

http://www.yaverbaum.org/Elements/SaintAnns/Syllabus.E&M.asaso.I&P.htm


Show Up.

(Sometimes

easier said

than done.)

Where we're coming

from 

Take-Away Claim:

Certain real (neither imagined nor idealized) things evidently occupy space and time in a measurable and predictable manner, but differ from particles in the following two essential respects: These non-particular things are capable of occupying more than one space point at one time point; they are also capable of co-occupying one space point at one time point.

Such real objects that are not particles can go by many names, such as as waves, energies, messengers, bosons, etc.

But such real objects might well also be considered bits of
INFORMATION.

Such real, yet non-particular, objects constitute the subject matter for this course.

Take-Away Question:

In PHYSICS, how/when do we identify the thin line between real and idealized conditions?

 

UnThingy Things


 Where we're going

to

 

September 19

Q: Why

OSCILLATIONS

&

INTERACTIONS?

A: 'Shaking' and 'meddling' are the two basic means by which we can move our understanding
from particle ('thingy-thing') models to
('unthingy-thing') information models.

***

Mechanical Energy :

A Brief Review

HRW: Chapter 15 
SHORT-NOTICE

ANNOUNCEMENT

FOR TODAY (9/20/16):


PLEASE (again)

COME TO CLASS AT

3:30 pm

(and prepare to stay until 5:50 pm).

Note: We have not yet settled into steady-state.

But this has become necessary for today.

I beg your indulgence.

If you are looking in this box to see
what written work is DUE Tuesday, September 20, then
you are doing the right thing.

(And if you are looking to the column at left for the assigned reading, you are also doing the right thing.)

Everything below describes what we will write and submit, Tuesday, September 20.

NOTE: Because we meet for Double-Period Lectures every Tuesday this year, you must also read the box below. It MIGHT also be labeled Tuesday, September 20. We often (but not always) have two assignments worth of material due for a given lecture period. So please always check.




Transition Items.

0. Identifications:
Who Are You?

1. Oscillations:
A Thing On A Spring

2. Gravitations:
A Sphere that's Not Near


 F = -kx

HRW: Chapter 13

***

NOTE: These two chapters seem OUT of ORDER.

This is intentional.

We begin Physics 204 with
TWO distinct and seemingly unrelated topics--each of which, in its own way, helps transition us from a study of "thingy things" (particles) to a study of "unthingy things" (information).

The two topics are:

1) Simple Harmonic Oscillation
(Chapter 15)

and

2) Universal Gravitation
(Chapter 13).

For the moment, regard these as two separate and independent topics--two pieces we need to begin this course.

We will soon bring them together.

 

September 26

Bridge Topic (from Thingy to UnThingy) #1 -->

Simple Harmonic Motion:

A Differential Equation.

***

Space
as an Independent Variable;

Time
as a Dependent Variable:

Energy Conservers

as

Clocks

Thing On A Spring:
SOLVED

A SPHERE NOT NEAR:
SOLVED!

 

 

 

After Tuesday's discussion, you might have a greater sense for which sections of the above chapters are being emphasized and which are not:

GO BACK

and REALLY READ the sections it seems that we are emphasizing.

REALLY READ means (among other things): Pick at least two Sample (Solved) Problems and try to solve them without looking.

NOTE: IF you feel at all behind with respect to these assignments, here's the 'TRIAGE' priority order:

FIRST worry about anything related to Harmonic Motion;

SECOND worry about Gravitation.

(We might not get to gravitation next class.)

EXERCISES

A. The Undercroft: Universal Gravitation

Problems at end of Chapter 13:

Problems 3, 19, 24, 31


B. The Ram: Simple Harmonic Oscillation

Practice: Simple Harmonic Oscillation

The following "Problems" (not "Questions") at the end of Chapter 15.

a) Problem 9. 

PLUS: "Assume the mass of this oscillator is 30 kg.  If an ideal spring is causing the simple harmonic oscillation, find the 'K' (force constant) for that spring."

b) Problem 29.

c) Problem 31.

October 10

This Differential Equation:

Amplitude-Independent Periods

 

 

 

Bridge Topic #2 -->

Action-at-a-Distance:

Universal Gravitation

Chapter 16


 
October 17

One Place the
Two Bridges Meet -->

Inside a Solid Sphere:

The Gravitational Tunnel: Diameter

Newton's Shell Theorem

THIRD PROBLEM SET

The Mash-Up:

OSCILLATIONS

NOTE: Solutions to all HW Problem Sets are best submitted on SEPARATE SHEETS of paper,

with all pages assembled into
ONE PDF FILE per assignment.

Each Problem Set is, at maximum, half of a conversation.
It is neither an interview nor a statement.

 

October 24


Applications of Amplitude-Independence.

1. Solving the Planar Pendulum,

2. Solving The Gravitational Tunnel:
an Arbitrary Chord.

Chapter 17

KETCHUP

&

SUBMIT!

: On clean sheets of paper, submit
Complete, Thorough, Clear, Neat, Step-By-Step
Solutions to
All THREE (3) of the NON-textbook HW Problem Sets We've Had Thus Far.

Detailed directions for this 'formal' assignment and all future submissions follow in the box directly below.

 

A 2-Dimennsional Arrangment of
1-Dimensional Oscillators

(Setting up the Wave Equation)

 

All Solutions must interweave Verbal Explanations and Pictures Through the Step-By-Step Series of Equations.

Every LINE is a COMPLETE STATEMENT
(i.e.: coherent thought):

whether of English (i.e.: full sentence),
Mathematics (i.e.: two-sided equation) or
Imagery (labeled diagram).

Every question must be responded to with a thought process as described above and a final answer that is explicitly labeled as such (circled, boxed, bolded, etc.).

For some of these HW's, you will have already seen answers in class. For some, you will not.
This observation is interesting, but only slightly relevant:

The standards and expectations for thoroughness of communication are similarly high either way.
The standards and expectations for correctness of final answer are generally low; if a final answer has been presented in class, however, it would presumably appear on your final submission.



 
October 31

Capital Deltas, Lower-Case d's & Lower-Case Deltas;
Tensions, Tangents & Continuity:

Physical Nuance in
Calculus Notation

 

 

 

Derivation:

Newton's Shell Theorem

Chapter 21

Unthung

 

November 7

Derivation:

The Wave Equation:

 

PROOFS:

1. That The Oscillation of a Small-Angle Planar Pendulum is Simple Harmonic ("SHO of a Pendulum").

Assume a simple, planar, small-angle pendulum driven only by (an approximately constant acceleration due to) gravity. Prove that such a pendulum takes a certain, fixed, amount of time to make a swing -- a time which depends on physical parameters of the pendulum itself but does not depend on how spatially large the swing is.

2. That The Wave Equation Can Be Derived From an Application of Newton's Laws to a Long, Light String ("Wave Equation on a String")

Assume a long, light and uniformly tight string that is subjected to a small disturbance perpendicular to the length of that string. Prove that this the disturbance will maintain its essential shape and propagate along the length of the string at a certain, fixed speed -- a speed which depends on physical parameters of the string itself but does not depend on how quick the disturbance is.

For both of the above, "Prove" means:

Start with a fully labeled diagram.

Then:

Set up 2 columns and, by your own methods of rigorous, thorough, intuitively reasonable thought, create a full derivation for each of the requested proofs.

Column 1 = Claims
Column 2 = Justifications.

Research absolutely acceptable, but use such research to inform, not to replace, your thoughts.

Cite any/all such research in a formal, proper manner, such as APA.

Express all definitions and assumptions you find necessary and relevant to the task.

Proceed claim by claim (complete thought by thought) from the givens you establish until you reach the desired conclusion.

In general, the claim for each step will be expressed as complete thought of mathematics, i.e. an equation; the justification for each step will be expressed as a complete thought of English, i.e. a sentence.

 

Distortion vs. Displacement

Chapter 22

3. ARGUE (rigorously and convincingly, but in English) that the common sense and/or the fundamental laws of classial mehanics would be violated if Fields did not exist.

Again, just like (1) and (2),

Start with a fully labeled diagram.

Then:

Set up 2 columns and, by your own methods of rigorous, thorough, intuitively reasonable thought, create a full derivation for each of the following requested proofs.

Column 1 = Claims
Column 2 = Justifications.

Research absolutely acceptable, but use such research to inform, not to replace, your thoughts.

Cite any/all such research in a formal, proper manner, such as APA.

This time, however, all claims might well be in English.

This "proof" might well be a bit softer (more informal) than those for (1) and (2), but that might well make it more challenging.

 

 

 

November 14

cerebral get-
together


(42 minutes long...

with the possibility of an 18 minute grace period ...

IFF we all handle the first 42 minutes gracefully)

Chapter 23

Study for the QUIZ

 

November 7

Meta Quiz:

Dimensionality viz.

the Wave Equation.

 

The quiddity

Some Guiding Comments:

1) The Good News:

This Quiz is OPEN-NOTES.

Though it is certainly

NOT Open Electronics and also

NOT Open Text,

You may use anything that has been written in advance
by your hand.

2) Even Better News:

It is not too late to borrow, share, learn from and/or
even copy notes from colleagues
for classes you might have missed.

It is not considered cheating to learn from person x
what person y at location z had tried to teach you
when you happened to be at location not-z.

3) The Bad News:

You must
UNDERSTAND

what the notes from class
MEAN.

The MEANING
of what we have endeavored to study thus far

comprises the focus of the Quiz.

4) The Format:

Because it is a "Quiz", the format will be
largely short answer:

You will only have to compose a few original sentences here and there, but you will most certainly have to

read, recall, retain and cross-correlate carefully.

5) The Specific Content:

Hooke's Law,
The Physical Implications of Simple Harmonic Oscillation,
The Second Order Differential Equation for S.H.O.

Newton's Law for Universal Gravitation,
The Shell Theorem,

Simple Harmonic Oscillation as Applied to Gravitation,

The Physical Implications of Wave Motion,
The Second Order Differential Equation for Wave Motion,
The Derivation of the (above) Wave Equation,

The Physical Relationship
Between S.H.O. and Wave Motion,

The Mathematical Relationship
Between S.H.O. and Wave Motion.

The Bottom Line:

You have 42 minutes.

Show that you are capable of analyzing
certain ways to travel through space and time
whether the expression of these ways
is verbal, symbolic or graphical.

6) Best way to prepare:

Go through your notes and translate.
Re-express the equations as English,
Draw pictures for the English and

CONVERSE with a COLLEAGUE.


 

November 14

The Study of

The Study of

Physics

I)

II) The following "Problems" (not "Questions")
at end of Chap. 22:

3, 9, 19, 31

and

The following "Problem" (not "Question")
at end of Chap. 23: #3

 

November 21

Deriving
Wave Speed:

A Circular Pulse Approximation

 

 
November 28

 

1) Deriving Wave Speed:

A Solution to the Differential Equation.

***

2) Propagation
through the
Medium:

A Constant yet not an Invariant

Sections 16.1 - 16.4,

Section 17.1, 17.7

 

Electric Charge & Force



 

December

Propagation-At-A-Distance:

Mass and Charge.

Sections 21.1 - 21.3  

December 5

. . . At-A-Distance:

Force and Field.

Derivation: Newton's Shell Theorem

Image: The 42 Minute Tunnel.

At a Tree Stump Near You,

Now Available,

for KINDLE

for GENERIC e-Book

for GOOGLE BOOK

for iBook,

A Yellow & Pink Companion.

* * *

RELISH:

1) Unthung


2) Sound of Silence

 

December 12

Vector Fields and Field Lines

Derivation: Newton's Shell Theorem

Image: The 42 Minute Tunnel.
   

2018: January 2

From a continous distribution:

Field and Flux

Sections 23.1 - 23.2

RELISH:

Proof 1: SHO of a Pendulum (See Box from 10/21, above).

Proof 2: Wave Eq. on a String (See Box from 10/21, above).

 

January 10

GAUSS's LAW

Sections 23.3 - 23.6


1) Sound of Silence

2) Electric Charge & Force

 

January 17



QUEST

(Quiz/Test/Hero'sJourney)

 

 

Mid-Term EQUATION List

 

January 24

MetaQuest

Chapter 22 * Spring 2014 Quest & SOLUTIONS *  

January 31

Gauss's Law:

1) A Reason To Believe:
0-D Symmetry

(a Point Charge)

2) Another Reason To Believe:
Conservation of Things

(Counting Field Lines)

3) A Reason to Care:
1-D Symmetry

(a Wire)

Chapter 23

Gauss's Law

 

 

 

February 7

 

More Applications &
Impacts of Gauss's Law:

1) 2-D Symmetry:

(a Plate)

(a Pair of Parallel Plates)


2) Ground

Chapter 25

Revisit, Continue and Deepen

Gauss's Law


 

February 21

Stable Conductors:

How uniform distribution is

found, not sought.

 
February 28


Fields, Potentials & Capacitance
in a
Circuit

CLOSED PATHS CLOSED LOOP  
March 7 The RC CIRCUIT Solved      
March 14 Math Muscles:

In Particular,

The Dot Product, the Cross Product
& a Fresh Look At Fields

  A Piece On Earth  

March 21

 

Magnetostatics:

 

The Cross Product,

The Field,

The Finding,

The Biot-Savart Law

Chapter 37

 

(a) B - Fields

 

(b) REVIEW/PRACTICE:

1 (general). Assuming the conservation of (electric potential) energy, the definition of electrical capacitance and Ohm's Law, TYPE out a full derivation for the current as a function of time in an RC Circuit.

2 (particular). Assuming the numerical values presented BELOW for a particular RC Circuit (two resistors in parallel, one in series both with the pair and with the capacitor), find the amount of time for the current to decay to half its original value.

Emf = 9 Volts.

C = 100 micro-Farads.

R1 (in main loop of circuit, series with battery and capacitor) = 400 Ohms.

R2 = 200 Ohms,

R3 = 300 Ohms.

R2 and R3 are both in parallel with each other. But that parallel configuration itself is in series with everything else.

 

March 28

The NoBeFlux Law;

Motivating Ampere's Law

 

Ampere & Faraday I

 
April 4 Deploying Ampere's Law   Ampere & Faraday II  
April 18

Induction:

Introducing Faraday's Law

  Ampere & Faraday III  
April 25     Divergence  

May 2

CRESCENDO

The Displacement Current

-->

Electromagnetic Radiation

***

Invariance

 

 

Solutions to Practice Exam, 2014

an archived crescendo

 

OPPORTUNITY:
EXTRA CRESC & CRED

STUDY GUIDE
FOR 2016!

!ALL SOLUTIONS!

Final

EQUATION

List

 

Note: Most assignments are 1) highlighted, 2) DUE the day on which they appear and 3) hyper-linked as we progress through the year.

 

       Physics 204: LECTURE

   Physics 203: LECTURE

    Physics 204: LAB

        Skies of Yesternight

Physics 203: LAB

    Elements