 ## 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 current-carrying 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

### Biot-Savart law T
μ0→ Permeability constant (μ0 = 4π x 10-7 T*m/A)

### Magnetic field due to current in an infinitely-long, straight wire T R→ distance from wire

### Magnetic field due to current in a semi-infinite 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

### Self-induced 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 Lorb→ orbital angular momentum vector

### Maxwell's law of induction /dd>

### Displacement current A

### Ampere-Maxwell 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 