8.85×10−12 F/m = vacuum permittivity.
e = 1.602×10−19C: negative (positive) charge for electrons (protons)
= 8.99×109 m/F
= field above an infinite plane of charge.
= electric flux
= electric potential
= change in potential energy (or simply )
Electron (proton) mass = 9.11×10−31kg (1.67× 10−27kg). Elementary charge = e = 1.602×10−19C.
=kinetic energy. 1 eV = 1.602×10−19J
near isolated point charge
Many charges: .
where A is area and d<<A1/2 is gap length of parallel plate capacitor
= stored energy
= energy density
Electric current: 1 Amp (A) = 1 Coulomb (C) per second (s)
= (density, charge, speed, Area)
where =current density.
= electric field where = resistivity
, and ,
where is resistance
where =internal resistance and =emf.
Kirchhoff Junction: and Loop:
Charging an RC (resistor-capacitor) circuit: and
where is RC time, and .
Discharging an RC circuit: and
Magnetic force: .
=EXB drift velocity
Circular motion (uniform B field): Period=
Hall field =
Lorentz force =
Free space permeability
Force between parallel wires
Magnetic field inside solenoid with paramagnetic material = where = permeability
Electromotive "force" (volts)
Unit of inductance = Henry (H)=1V·s/A
Mutual inductance: where =flux through 1 due to current in 2. Reciprocity:
in LR circuit where .
in LC circuit
AC voltage and current if
RMS values and
RLC series circuit where and
Resonant angular frequency
Transformer voltages and currents
Displacement current where is the electric flux.
Poynting vector =energy flux
Radiation pressure (perfect absorber) and (perfect reflector).
- ↑ transclusions between OpenStax_University_Physics/E&M#Index and Quizbank/Electricity and Magnetism (calculus based)/Equations