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Coefficient of static friction; angle

Lagrangian (equation of motion)


Hamiltonian (equations of motion)
,


Moment of inertia integral


Power (rotation, dot product)

Angular momentum (cross product)


Pendulum (period, simple)

Pendulum (period, simple, moment of inertia)






Wave speed in a string (tension, density)



Power delivered by oscillation



Hamiltonian (given Lagrangian)










Intensity of EM radiation




Lorentz force (current wire)

Auxiliary D, H fields
,



Dielectric constant (rel. permittivity)




Defn of ferromagnetism
Like paramagnetism,but more extreme and with domains


Potential energy of E dipole

Torque on magnetic dipole

Potential energy on B dipole

B field inside long solenoid

E field inside conductor
0

Direction of E field outside conductor
Normal to surface

Potentials of conductor
Surface is equipotential

Define ntype semiconductor
Doped with atoms carrying excess electrons (e.g. nitrogengroup atoms like P or As)

Define ptype semiconductor
Doped with atoms carrying fewer electrons (results in holes) (e.g. Algroup atoms like gallium)

E field at interface (boundary cond)

B field at interface (boundary cond)
(parallel components discontinuous)

What happens when EM wave hits conductor?
E field changes phase by 180 deg, B field doesn't change phase.

Ohm's law (the better variant)

Defn of current density
=

Resistance from resistivity

Resistors (series, parallel)
Additive, reciprocal of sum of reciprocals

Capacitors (series, parallel)
Reciprocal of sum of reciprocals, additive (opp. resistors)






Faraday's law for inductor (emf)



RLC circuit (damped frequency)


Voltage/current lag in AC circuit with capacitor
Voltage lags current by 90 deg


Voltage/current lag in AC circuit with inductor
Current lags voltage by 90 deg


"Ohm's law" in AC circuits


Voltage transformer (in/out)

Current transformer (in/out)

Equipartition theorem
Each degree of freedom contributes 0.5*k*T


most probable speed of ideal gas


Order of v(rms), v(avg), and v(mp) in ideal gas
v (rms) > v(avg) > v(mp)

Mean free path (cross section)

Internal energy of ideal gas

Relate const. pressure & const. vol heat capacity


Adiabatic constant of monatomic gas
5/3

Partition function
(g is degeneracy)

Average energy given partition function

Relate probability to partition function


BoseEinstein distribution


Entropy (heat)
(law 3 fixes S(0) = 0)

Entropy (partition function)
S

Define temperature in terms of entropy

Const pressure heat capacity Maxwell relation

Const vol heat capacity Maxwell relation

DulongPetit model
 Heatcapacity for solid @ high T

Debye model of heat capacity
as T>0

Clockwise process in PV diagram
Does work on surroundings

Counterclockwise process in PV diagram
Work done on surroundings

Carnot engine
 1. Isotherm expn
 2. Adiabat expn
 3. Isotherm comp
 4. Adiabat comp





Partition function & Helmholtz

Chem potential and Helmholtz F.E.




Speed of EM wave (electromag constants)




Object distance / image distance for plane mirror

Magnification of spherical mirror



