Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Solution 2: Electric potential TA: Yi Mao, ymao@mit.edu. 1. Purcell 1.31: Charged soap bubble.
z F
R
y
x
Figure 1: A spherical bubble on which charges are uniformly
Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Solution 8: Induction & Inductors. TA: Yi Mao, ymao@mit.edu. 1. Purcell 7.11: Mutual and self inductance of coils. Refer to the figure for Problem 7.11, p.288 of Purcell. I
Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Assignment 7: Magnetic fields and Induction Post date: Thursday, April 1st Due date: Thursday, April 8th Be sure to write your name and section number on your pset Please s
Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Solution 7: Magnetic fields and Induction. TA: Yi Mao, ymao@mit.edu. 1. Purcell 6.4: Practice with B-S law.
D I C C
r B P r dl A I B B P er I
= B points normal to and out
Scott Hughes Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Lecture 9: Variable currents; Thevenin equivalence
9 March 2004
9.1
Variable currents: Discharging a capacitor
Up til now, everything we have done has ass
Scott Hughes Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Lecture 10: Magnetic force; Magnetic fields; Ampere's law
11 March 2004
10.1
The Lorentz force law
Until now, we have been concerned with electrostatics -
Scott Hughes Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Lecture 5: Fields and potentials around conductors The electrostatic uniqueness theorem
19 February 2004
5.1
Conductors
For much of the rest of this class,
Scott Hughes Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Lecture 4: Wrap up of vector calculus: Poisson & Laplace equations; curl
12 February 2004
4.1
Summary: Vector calculus so far
We have learned several mathe
Massachusetts Institute of Technology
Department of Physics
Physics 8.022 - Fall 2002
Assignment #2
Field Lines, Electric Flux, Gauss' Law
Work, Energy of Fields, Potential
Reading Purcell Chapter 1 and 2.
Problem Set #2
Work on all problems
Scott Hughes Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Lecture 3: Electric field energy. Potential; Gradient. Gauss's law revisited; divergence.
10 February 2004
3.1
Energy in the field
Suppose we take our sphe
Scott Hughes Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Lecture 2: Electric fields & flux; Gauss's law
5 February 2004
2.1
The electric field
Last time, we learned that Coulomb's law plus the principle of superp
Scott Hughes Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004
26 February 2004
Lecture 7: Current, continuity equation, resistance, Ohm's law.
7.1
Electric current: basic notions
The term "electric current" is used t
Scott Hughes Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Lecture 12: Forces and Fields in Special Relativity
18 March 2004
12.1
Transformation of the electric field
It is very easy to see how the electric field t
Scott Hughes Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Lecture 13: Ampere's law revisited; Biot-Savart law Vector potential
30 March 2004
13.1
13.1.1
Return to the magnetic field
What we did before
Let's quickl
Scott Hughes Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Lecture 18: AC Circuits. Power and energy; Resonance. Filters.
22 April 2004
18.1
AC circuits: Recap and summary
Last time, we looked at AC circuits and fo
Scott Hughes Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Lecture 19: Displacement current. Maxwell's equations.
27 April 2004
19.1
Inconsistent equations
Over the course of this semester, we have derived 4 relati
Massachusetts Institute of Technology
Department of Physics
Physics 8.022 - Fall 2002
Assignment #8
Fields of Moving Charges
Lorentz force, Magnetic Field, Biot-Savart
Ampere's Law, Vector Potential
Reading Purcell: Chapter 5 and 6.
Problem
Massachusetts Institute of Technology
Department of Physics
Physics 8.022 - Fall 2002
Assignment #7
Spacetime in Special Relativity
Forces, Momenta, Fields, Energies in Special Relativity
Fields of Moving Charges
Reading Purcell: Chapter 5 an
Massachusetts Institute of Technology
Department of Physics
Physics 8.022 - Fall 2002
Assignment #6
Spacetime in Special Relativity
and review on Current, Resistance, Ohm's Law
EMF, Circuits, Kirchhoff's Rules, RC Circuits
Reading Purcell Cha
Massachusetts Institute of Technology
Department of Physics
Physics 8.022 - Fall 2002
Assignment #5
Current, Resistance, Ohm's Law
EMF, Circuits, Kirchhoff's Rules, RC Circuits
Reading Purcell Chapter 4.
Problem Set #5
Work on all problems.
Massachusetts Institute of Technology
Department of Physics
Physics 8.022 - Fall 2002
Assignment #4
Conductors, Capacitance
Current, Resistance, Ohm's Law
Reading Purcell Chapter 3 and 4.
Problem Set #4
Work on all problems. Not all problems
Massachusetts Institute of Technology
Department of Physics
Physics 8.022 - Fall 2002
Assignment #3
Div, Curl, Laplace's and Poisson's Equations
Conductors, Capacitance
Reading Purcell Chapter 2 and 3.
Problem Set #3
Work on all problems. No
Massachusetts Institute of Technology
Department of Physics
Physics 8.022 - Fall 2002
Assignment #1
Introduction and Review
Coulomb's Law, Superposition, Electric Fields
Reading Handout #1, Purcell Chapter 1.
Problem Set #1
Work on all probl
Scott Hughes Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Lecture 8: EMF, Circuits, Kirchhoff's rules
4 March 2004
8.1
EMF: Electromotive force
The workings of our technological civilization are largely based on t
Scott Hughes Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Lecture 11: Spacetime: Introduction to Special Relativity
16 March 2004
Preamble: The vast majority of material presented in this course consists of subjects
Scott Hughes Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Lecture 6: Capacitance
24 February 2004
6.1
Capacitance
Suppose that I have two chunks of metal. A charge +Q is on one of these chunks, -Q is on the other
Scott Hughes Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004
3 February 2004
Lecture 1: Introduction; Couloumb's law; Superposition; Electric energy
1.1
Fundamental forces
The electromagnetic force is one of the fou
Scott Hughes Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Lecture 24: A (very) brief introduction to general relativity.
13 May 2004
24.1
Gravity?
The Coulomb interaction between two point charges looks essentiall
Scott Hughes Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Lecture 23: Magnetic materials
11 May 2004
23.1
Magnetic fields and stuff
At this stage of 8.022, we have essentially covered all of the material that is t
Scott Hughes Massachusetts Institute of Technology Department of Physics 8.022 Spring 2004 Lecture 16: RL Circuits. Undriven RLC circuits; phasor representation.
8 April 2004
16.1
RL circuits
Now that we know all about inductance, it's time to st