Chapter 1: Coulomb: Electric field: Potential energy: Flux & Gauss: F =  Charge distributions: spherical line charge surface charge Energy density: 
Chapter 2: Nabla ("Del" operator): Gradient: Divergence: Curl: Laplacian:  Gauss' Law (differential form): Curl of : Electric potential 'The circle':

The equations for div, grad, curl, Laplacian All six equations from "the wheel"  The equations for F, E, PE, and V What the divergence and curl of the electric field equal 
Chapter 3: Perfect conductors: E = 0 inside f=constant on surface E_{} = 0 at surface E_{^} = 4p[ k]s at surface Boundary value problems: Uniqueness Method of images Conformal mapping Spherical or cylindrical harmonics Relaxation, overrelaxation  Capacitance: C=Q/V of isolated sphere: of isolated disc: of parallel plates: of parallel capacitors: of series capacitors: Energy storage: U=½QV=½CV^{2}= 
Chapter 4: Current: Current density: Continuity: Ohm: V = IR Conductance: s = nem = Resistivity: r = = 1/ s  Kirchhoff: , Equivalent resistances: R_{s} = R_{1} + R_{2} + ... Power dissipation R: P = VI = I^{2}R =V^{2}/R Thevenin: e _{Th} = V_{open } R_{Th }= e _{Th}/I_{short }Charging RC circuit: Q=Q_{0}(1e^{t/RC}) Discharging RC circuit: Q=Q_{0}e^{t/RC} 
Chapter 5: Lorentz force: Charge is relativistically invariant. in different frames: E'_{} = E_{}  Accelerating charges ® electromagnetic waves is a consequence of relativity. 
Chapter 6: Magnetic field: and Biot & Savart: Ampere: Vector potential:  Field due to . . . long wire: single coil: on axis at center solenoid: Hall effect: , R_{H}= 
  
Source of field  Coulomb:  Biot & Savart: 
Force  = q  Lorentz: 
CGS Units of field  statvolt/cm = dyne/esu = esu/cm/cm  Gauss = same as units of 
How to calculate:  Gauss' Law:  Ampere's Law: 
(local form)  Gauss' Law (local form):  Ampere's Law (local form): 
Potential  Since , there is a scalar potential, , such that  Since , there is a vector potential, , such that 
"Sandwich"  DE = 4p[k]s = 4p[k] Q/A  DB=4pJ/c =4pI/lc 
Chapter 7 Motional emf: bar: e= Motional emf: loop: e= Faraday: Flux form:e = Differential form:  Eddy currents, eddy fields, Meissner effect Flux through a coil: NBAcosf Self Inductance: L = e_{11}/ LR circuit: t = L/R Energy storage: u = 
Chapter 8: Resonant circuit: X_{C }= X_{L}, Z = R at resonance Quality factor: Q = RCw = w L/R Complex analysis: I = Re(I_{o}e^{iwt}) Admittance: Y = I/V Reactance: X = Im [V/I] Impedance: Z = V/I 
Z of resistor: R of inductor: iwL of capacitor: Power dissipation: instantaneous: P = VI average, for resistor: P = V_{rms}I_{rms } average, in general: P = V_{rm s}I_{rm s}cosf 
Chapter 9: Gauss: Faraday: Gauss for magnetic field: Ampere/Maxwell:  Electromagnetic waves in free space: v=c and E_{0} = B_{0 }energy density: <u> = Poynting: 
Chapter 10: Capacitors: C = Energy density: u = Multipole expansion: Point electric dipole: Electric field due to dipole: Dipole in field: Polarization:  Displacement vector: Boundary conditions: continuous Maxwell update: Electromagnetic waves: Rayleigh scattering: µ w ^{4 } 
Chapter 11: Diamagnets, Paramagnets, Ferromagnets Absence of magnetic monopoles Point magnetic dipole: Magnetic field due to dipole: Dipole in field:  Magnetic field ()magnetization () Magnetic induction: Boundary conditions: _{perp} and _{par} are continuous Maxwell's equations in materials: m _{o}=1 in CGS Electromagnetic waves: 
Equation: 


Electric: divergence  
Electric: curl  
Magnetic: divergence  
Magnetic: curl 



Dipoles  
Efield  
Efield  
Energy  
Torque  
Force  
Internal field  
Free charges and currents  