Continuity Equation for Fluids
Area times velocity remains constant (A1v1=A2v2).
Conservation of Momentum
In a closed system, total momentum before equals total momentum after an event.
Avogadro's Law
Equal volumes of gases at the same temperature and pressure contain equal numbers of molecules.
Energy Stored in a Capacitor
Energy equals one half capacitance times voltage squared (U=1/2CV^2).
Black Body Radiation
The electromagnetic radiation emitted by a body in thermal equilibrium.
Compton Scattering
The increase in wavelength (and decrease in energy) of X-rays or gamma rays when scattered.
De Broglie Wavelength
A particle's wavelength is inversely proportional to its momentum (λ=h/p).
Electric Potential Energy
Electric potential energy equals charge times electric potential (U=qV).
Angular Momentum
Angular momentum equals moment of inertia times angular velocity (L=Iω).
Brewster's Angle
The angle of incidence at which light with a particular polarization is perfectly transmitted through a transparent dielectric surface, with no reflection.
Doppler Effect
Change in frequency or wavelength of a wave in relation to an observer moving relative to the wave source.
Critical Angle
The angle of incidence above which total internal reflection occurs.
Archimedes' Principle
The upward buoyant force on an object immersed in fluid is equal to the weight of the fluid displaced.
Bernoulli’s Equation
Pressure plus one half density times velocity squared plus density times gravity times height is constant.
Conservation of Mechanical Energy
In a closed system, the sum of kinetic and potential energy remains constant.
Entropy
A measure of the disorder or randomness in a system.
Capacitance Formula
Capacitance equals charge divided by voltage (C=Q/V).
Biot-Savart Law
Calculates magnetic field produced by a current-carrying wire.
Boyle's Law
For a fixed amount of gas at constant temperature, pressure inversely proportional to volume (P1V1=P2V2).
Coulomb’s Law (Electric Fields)
Electric force between charged objects depends on the distance between the objects and the magnitude of the charges.
Conservation of Angular Momentum
Angular momentum remains constant if no external torques act on the system.
Carnot Engine Efficiency
Efficiency equals 1 minus cold reservoir temperature over hot reservoir temperature (e=1-Tc/Th).
Ampere’s Law
The magnetic field in space around an electric current is proportional to the electric current.
Charles's Law
For a fixed amount of gas at constant pressure, volume directly proportional to temperature (V1/T1=V2/T2).
Coulomb's Law
Electrostatic force equals k times charge1 times charge2 divided by distance squared (Fe=k(q1q2)/r^2).