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Zita@evergreen, 2272 Lab II TA = Jada Maxwell

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

Zita@evergreen.edu, 2272 Lab II

TA = Jada Maxwell

- 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

- 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)

- 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)

- 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

- Conservation laws
- Radiation
- waves in plasmas, magnetohydrodynamics
- Potentials and Fields
- Special relativity

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

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

Dot product: work done by variable force

Cross product:

angular momentum

L = r x mv

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

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

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).

- 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)

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).