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Zita@evergreen, 2272 Lab II TA = Jada Maxwell

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

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Introduction to Physical SystemsDr. E.J. Zita, The Evergreen State College, 30.Sept.02Lab II Rm 2272, zita@evergreen.edu, 360-867-6853

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

Zita@evergreen.edu, 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
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 =

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).