Chapter 27: Electric Charge and Coulomb's Law
==============================================

SI(charge) = Coulomb [C]
F = k*q1*q2 / r^2
CONSTANTS:
   e0 = 8.85e-12 [F/m]
   k = 1/(4*pi*e0) = 8.99e9 [N*m^2/C^2]

ec = 1.602e-19 C

Chapter 28: The Electric Field
==============================================

SI(efield) = [N/C] = [V/m]

E = F/q0

From point charge:
  E = (1/(4*pi*e0))*(q/r^2)
Uniform linear charge:
  dq = (q/L) ds
Uniform surface charge:
  dq = (q/A) dA
Uniform surface charge:
  dq = (q/V) dV
Ring of charge:
  R: radius, z: height
  Ez = (q*z)/(4*pi*e0(z^2+R^2)^(3/2))
Disk of charge:
  Ez = (sigma/2*e0)(1-z/sqrt(z^2+R^2))
Infinite line:
  E = lambda/(2*pi*e0*r)


Chapter 29: Gauss' Law
==============================================

capital phi: flux symbol
|flux| = vA*cos(theta) (mag. velocity * area)
flux through closed surface = 0

e0*flux = q .. e0*E*A = sigma*A .. E=sigma/e0

Spherical shell of charge:
  E = (1/(4*pi*e0))*(q/r^2)

Chapter 30: Electric Potential
==============================================

/\U = -Wab
U(r) = (1/(4*pi*e0))(q1*q2/r)

SI(potential) = joule/colomb [J/C] = volt [V]
/\U = q/\V
potential -> field: take gradient (partial derivatives wrt x,y,x)

Chapter 31: Capacitors and Dielectrics
==============================================
SI(capacitance) = farad [F] = 1 Coulomb/volt [C/V]

q = C*V

parallel-plate capacitor:
  C = e0*A/d
in parallel: Ct = sum(Cn)
in series:   1/Ct = sum(1/Cn)

dielecric constant Ke = C/C0 (C0: C w/0 diele)


Chapter 32: Current and Resistance
==============================================
i = dq/dt
SI(current) = ampere [A] = coulomb/second [C/s]
current density: j=i/A

SI(resistance) = ohm [omega] = volt/amp [V/A]
resistivity: little-rho = E/j

SI(power) = watt [W] = V*A = (J/C)(C/s) = J/s
P = i^2/R = V^2/R


Chapter 33: DC Circuits
==============================================
emf = V
i = emf/R
-iR + emf = 0

resistors:
  parallel: 1/Rt = sum(1/Rn)
        2:  Rt = R1R2/(R1+R2)
    series: Rt = sum(Rn)

kirchoff:
  1: at junction, sum of currents = 0

voltmeter: high resistance


Chapter 34: Magnetic Field
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Chapter 35: Ampere's Law
==============================================


Chapter 36: Faraday's Law of Induction
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Chapter 38: Inductance
==============================================


Chapter 39: Alternating Current Circuits
==============================================