Introduction to Physical Systems
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Introduction to Physical Systems Dr. E.J. Zita, The Evergreen State College, 30.Sept.02 Lab II Rm 2272, [email protected], 360-867-6853. Program syllabus, schedule, and details online at http://academic.evergreen.edu/curricular/physys/0607. [email protected], 2272 Lab II TA = Jada Maxwell.

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Zita evergreen 2272 lab ii ta jada maxwell

Introduction to Physical SystemsDr. E.J. Zita, The Evergreen State College, 30.Sept.02Lab II Rm 2272, [email protected], 360-867-6853

Program syllabus, schedule, and details online at http://academic.evergreen.edu/curricular/physys/0607

[email protected], 2272 Lab II

TA = Jada Maxwell


Introduction to electromagnetism dr e j zita the evergreen state college 16 jan 2007

Introduction to ElectromagnetismDr. E.J. Zita, The Evergreen State College, 16.Jan.2007

  • 4 realms of physics

  • 4 fundamental forces

  • 4 laws of EM

  • statics and dynamics

  • conservation laws

  • EM waves

  • potentials

  • Ch.1: Vector analysis

  • Ch.2: Electrostatics


4 realms of physics 4 fundamental forces

4 realms of physics, 4 fundamental forces


Four laws of electromagnetism

Four laws of electromagnetism


Electrostatics

Electrostatics

  • Charges make E fields and forces

  • charges make scalar potential differences dV

  • E can be found from V

  • Electric forces move charges

  • Electric fields store energy (capacitance)


Magnetostatics

Magnetostatics

  • Currents make B fields

  • currents make magnetic vector potential A

  • B can be found from A

  • Magnetic forces move charges and currents

  • Magnetic fields store energy (inductance)


Electrodynamics

Electrodynamics

  • Changing E(t) make B(x)

  • Changing B(t) make E(x)

  • Wave equations for E and B

  • Electromagnetic waves

  • Motors and generators

  • Dynamic Sun


Some advanced topics

Some advanced topics

  • Conservation laws

  • Radiation

  • waves in plasmas, magnetohydrodynamics

  • Potentials and Fields

  • Special relativity


Ch 1 vector analysis

Ch.1: Vector Analysis

Dot product: A.B = Ax Bx + Ay By + Az Bz = A B cos q

Cross product: |AxB| = A B sin q =


Examples of vector products

Dot product: work done by variable force

Cross product:

angular momentum

L = r x mv

Examples of vector products


Differential operator del

Del differentiates each component of a vector.

Gradient of a scalar function = slope in each direction

Divergence of vector = dot product = what flows out

Curl of vector = cross product = circulation

Differential operator “del”


Practice 1 15 calculate the divergence and curl of v x 2 x 3xz 2 y 2xz z

Practice: 1.15: Calculate the divergence and curl ofv = x2x + 3xz2y - 2xz z

Ex: If v = E, then div E = charge; if v = B, then curl B = current.


Separation vector differs from position vector

Separation vector differs from position vector:

Position vector = location of a point with respect to the origin.

Separation vector: from SOURCE (e.g. a charge at position r’) TO POINT of interest (e.g. the place where you want to find the field, at r).


Ch 2 electrostatics charges make electric fields

Ch.2: Electrostatics: charges make electric fields

  • Charges make E fields and forces

  • charges make scalar potential differences dV

  • E can be found from V

  • Electric forces move charges

  • Electric fields store energy (capacitance)


Gauss law practice

Gauss’ Law practice:

What surface charge density does it take to make Earth’s field of 100V/m? (RE=6.4 x 106 m)

2.12 (p.75) Find (and sketch) the electric field E(r) inside a uniformly charged sphere of charge density r.

2.21 (p.82) Find the potential V(r) inside and outside this sphere with total radius R and total charge q. Use infinity as your reference point. Compute the gradient of V in each region, and check that it yields the correct field. Sketch V(r).


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