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# [email protected], 2272 Lab II TA = Jada Maxwell - PowerPoint PPT Presentation

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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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

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

• 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

• 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 =

Cross product:

angular momentum

L = r x mv

Examples of vector products

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 ofv = x2x + 3xz2y - 2xz z

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).

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)

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).