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Coefficient of static friction; angle
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Lagrangian (equation of motion)
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Hamiltonian (equations of motion)
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Moment of inertia integral
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Power (rotation, dot product)
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Angular momentum (cross product)
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Pendulum (period, simple)
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Pendulum (period, simple, moment of inertia)
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Wave speed in a string (tension, density)
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Power delivered by oscillation
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Hamiltonian (given Lagrangian)
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Intensity of EM radiation
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Lorentz force (current wire)
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Auxiliary D, H fields
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Dielectric constant (rel. permittivity)
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Defn of ferromagnetism
Like paramagnetism,but more extreme and with domains
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Potential energy of E dipole
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Torque on magnetic dipole
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Potential energy on B dipole
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B field inside long solenoid
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E field inside conductor
0
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Direction of E field outside conductor
Normal to surface
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Potentials of conductor
Surface is equipotential
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Define n-type semiconductor
Doped with atoms carrying excess electrons (e.g. nitrogen-group atoms like P or As)
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Define p-type semiconductor
Doped with atoms carrying fewer electrons (results in holes) (e.g. Al-group atoms like gallium)
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E field at interface (boundary cond)
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B field at interface (boundary cond)
(parallel components discontinuous)
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What happens when EM wave hits conductor?
E field changes phase by 180 deg, B field doesn't change phase.
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Ohm's law (the better variant)
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Defn of current density
=
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Resistance from resistivity
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Resistors (series, parallel)
Additive, reciprocal of sum of reciprocals
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Capacitors (series, parallel)
Reciprocal of sum of reciprocals, additive (opp. resistors)
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Faraday's law for inductor (emf)
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RLC circuit (damped frequency)
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Voltage/current lag in AC circuit with capacitor
Voltage lags current by 90 deg
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Voltage/current lag in AC circuit with inductor
Current lags voltage by 90 deg
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"Ohm's law" in AC circuits
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Voltage transformer (in/out)
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Current transformer (in/out)
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Equipartition theorem
Each degree of freedom contributes 0.5*k*T
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most probable speed of ideal gas
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Order of v(rms), v(avg), and v(mp) in ideal gas
v (rms) > v(avg) > v(mp)
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Mean free path (cross section)
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Internal energy of ideal gas
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Relate const. pressure & const. vol heat capacity
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Adiabatic constant of monatomic gas
5/3
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Partition function
(g is degeneracy)
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Average energy given partition function
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Relate probability to partition function
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Bose-Einstein distribution
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Entropy (heat)
(law 3 fixes S(0) = 0)
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Entropy (partition function)
S
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Define temperature in terms of entropy
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Const pressure heat capacity Maxwell relation
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Const vol heat capacity Maxwell relation
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Dulong-Petit model
- Heat-capacity for solid @ high T
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Debye model of heat capacity
as T->0
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Clockwise process in PV diagram
Does work on surroundings
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Counterclockwise process in PV diagram
Work done on surroundings
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Carnot engine
- 1. Isotherm expn
- 2. Adiabat expn
- 3. Isotherm comp
- 4. Adiabat comp
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Partition function & Helmholtz
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Chem potential and Helmholtz F.E.
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Speed of EM wave (electromag constants)
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Object distance / image distance for plane mirror
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Magnification of spherical mirror
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