Magnetism
Units are denoted in green
Magnetic field

 Teslas(T) (N/A*m)
Magnetic force
 N
Circulating charged particle

Force on a current
 N L→ length of currentcarrying wire
Magnetic dipole moment

 A*m² N → # of turns, A→ area enclosed by coil
Torque on a current coil

 N*m All 3 are vectors
Magnetic potential energy
 J
BiotSavart law
 T
 μ_{0}→ Permeability constant (μ_{0} = 4π x 10^{7} T*m/A)
Magnetic field due to current in an infinitelylong, straight wire
 T R→ distance from wire
Magnetic field due to current in a semiinfinite straight wire
 T
Magnetic field due to current in a circular arc of wire
 T At center of arc, φ→ arc's central angle in radians
Force between two parallel currents
 N Force on wire b due to field from a, d→ wire separation
Ampere's law
 Closed loop integral, B and ds are vectors
Ideal solenoid
 T n→ number of turns per unit length
Toroid
 T N→ number of turns
Coil as a magnetic dipole
 T z→ distance from center of loop, B and μ are vectors
Magnetic flux through an area
 Webers(Wb) (T*m²)
Faraday's law
 V N→ # of turns in coil
Inductance
 Henry(H) (T*m²/A)
Inductance of a solenoid
 l→ length, n→ # turns per unit length
Selfinduced EMF
 V
RL circuit

 rise of current
 time constant
 decay of current
Magnetic energy
 J
Magnetic energy density

Gauss' law for magnetic fields
 Wb
Spin magnetic dipole moment
 S→ spin angular momentum vector
Bohr magneton
 J/T h→ Planck's constant (h = 6.63 x 10^{34} J*s)
Orbital magnetic dipole moment
 L_{orb}→ orbital angular momentum vector
Maxwell's law of induction
 /dd>
Displacement current
 A
AmpereMaxwell law
Induced magnetic field inside a circular capacitor
 T R→ radius of capacitor plates, r→ distance from center
Induced magnetic field outside a circular capacitor
 T r→ distance from center
Angular frequency of LC oscillations

LC oscillation equation

Charge oscillations
 C Q→ amplitude of variations, φrarr; phase constant
Current oscillations
 A
Stored energy in the electric field of a capacitor
 J
Stored energy in the magnetic field of a capacitor
 J
RLC circuit equation

 SOLUTION: ω' = √(ω²  (R/2L)²) C