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Showing 24 of 258 formulas Page 5 of 11

Pressure-Volume Work (Reversible Isothermal)

Physics β†’ Thermodynamics β†’ Gas Processes β†’ Work Done
$$W = -nRT \ln\left(\frac{V_2}{V_1}\right)$$
Calculates work done by an ideal gas during a reversible isothermal expansion.
πŸ“– Physics πŸ“š Gas Processes

Capacitors in Series

Physics β†’ Electromagnetism β†’ Capacitance β†’ Circuit Combinations
$$\frac{1}{C_{eq}} = \sum \frac{1}{C_i}$$
Calculates the total capacitance of multiple capacitors connected in a single path.
πŸ“– Physics πŸ“š Capacitance

Resistivity Formula

Physics β†’ Electromagnetism β†’ Current Electricity β†’ Resistance
$$R = \rho \frac{L}{A}$$
Relates electrical resistance to the physical dimensions and material property of a conductor.
πŸ“– Physics πŸ“š Current Electricity

Stefan's Law (Radiant Intensity)

Physics β†’ Thermodynamics β†’ Heat Transfer β†’ Radiation
$$I = \epsilon \sigma T^4$$
Power radiated per unit area of a body.
πŸ“– Physics πŸ“š Heat Transfer

Malus's Law

Physics β†’ Optics β†’ Wave Optics β†’ Polarization
$$I = I_0 \cos^2 \theta$$
Determines the intensity of a beam of polarized light after passing through a polarizer.
πŸ“– Physics πŸ“š Wave Optics

Escape Speed from Earth

Physics β†’ Mechanics β†’ Gravitation β†’ Planetary Motion
$$v = \sqrt{2gr}$$
A simpler form of escape velocity using surface gravity.
πŸ“– Physics πŸ“š Gravitation

Magnetic Force on a Current-Carrying Wire

Physics β†’ Electromagnetism β†’ Magnetism β†’ Lorentz Force
$$F = BIl \sin \theta$$
Force exerted on a conductor carrying current in a magnetic field.
πŸ“– Physics πŸ“š Magnetism

Work-Energy Theorem (Rotational)

Physics β†’ Mechanics β†’ Rotation β†’ Energy
$$W = \Delta K_{\text{rot}} = \frac{1}{2} I \omega_f^2 - \frac{1}{2} I \omega_i^2$$
The net work done by all torques acting on a rigid body is equal to the change in its rotational kinetic energy.
πŸ“– Physics πŸ“š Rotation

Change in Entropy (Reversible Process)

Physics β†’ Thermodynamics β†’ Second Law β†’ Entropy
$$\Delta S = \int \frac{dQ_{\text{rev}}}{T}$$
Definition of entropy change for a system during a reversible process.
πŸ“– Physics πŸ“š Second Law

Pressure at Depth in Fluid

Physics β†’ Fluid Mechanics β†’ Hydrostatics β†’ Pressure
$$P = P_0 + \rho gh$$
Calculates the total pressure at a certain depth in a liquid.
πŸ“– Physics πŸ“š Hydrostatics

Bohr's Radius

Physics β†’ Atomic Physics β†’ Atoms β†’ Bohr Model
$$r_n = \frac{\epsilon_0 h^2 n^2}{\pi m e^2}$$
Calculates the allowed radii for an electron in a hydrogen atom.
πŸ“– Physics πŸ“š Atoms

Wave Velocity

Physics β†’ Waves β†’ Oscillations β†’ Wave Motion
$$v = f \lambda$$
Relates the speed of a wave to its frequency and wavelength.
πŸ“– Physics πŸ“š Oscillations

Elastic Potential Energy

Physics β†’ Mechanics β†’ Energy β†’ Potential Energy
$$U = \frac{1}{2} k x^2$$
Energy stored as a result of deforming an elastic object.
πŸ“– Physics πŸ“š Energy

Brewster's Law

Physics β†’ Optics β†’ Polarization β†’ Reflections
$$\tan \theta_p = \frac{n_2}{n_1}$$
An angle of incidence at which light with a particular polarization is perfectly transmitted through a transparent dielectric surface.
πŸ“– Physics πŸ“š Polarization

Kinetic Energy (Relativistic)

Physics β†’ Modern Physics β†’ Relativity β†’ Energy
$$K = (\gamma - 1)mc^2$$
Calculates kinetic energy when speeds approach the speed of light.
πŸ“– Physics πŸ“š Relativity

Average Acceleration

Physics β†’ Mechanics β†’ Kinematics β†’ Motion
$$a_{avg} = \frac{v_f - v_i}{t_f - t_i}$$
The rate at which an object changes its velocity over a period of time.
πŸ“– Physics πŸ“š Kinematics

Inductive Reactance

Physics β†’ Electromagnetism β†’ AC Circuits β†’ Impedance
$$X_L = 2\pi f L$$
The opposition that an inductor offers to the flow of alternating current.
πŸ“– Physics πŸ“š AC Circuits

Density of States (3D)

Physics β†’ Solid State β†’ Free Electron Model β†’ Fermi Gas
$$g(E) = \frac{V}{2\pi^2} \left(\frac{2m}{\hbar^2}\right)^{3/2} \sqrt{E}$$
The number of states per unit energy interval for a 3D system.
πŸ“– Physics πŸ“š Free Electron Model

Period of a Simple Pendulum

Physics β†’ Mechanics β†’ Oscillations β†’ SHM
$$T = 2\pi \sqrt{\frac{L}{g}}$$
Calculates the time for one full swing of a pendulum.
πŸ“– Physics πŸ“š Oscillations

Total Energy of Harmonic Oscillator

Physics β†’ Mechanics β†’ Oscillations β†’ Energy
$$E = \frac{1}{2} k A^2$$
Total mechanical energy (sum of kinetic and potential) of an object in SHM.
πŸ“– Physics πŸ“š Oscillations

Newton's Law of Universal Gravitation

Physics β†’ Classical Mechanics β†’ Gravitation β†’ Universal Gravitation
$$F = G\frac{m_1 m_2}{r^2}$$
Attractive force between two masses is proportional to product of masses and inversely proportional to square of distance.
πŸ“– Physics πŸ“š Gravitation

Wave Speed Equation

Physics β†’ Waves and Oscillations β†’ Wave Properties β†’ Wave Speed
$$v = f\lambda$$
Speed of a wave equals frequency times wavelength.
πŸ“– Physics πŸ“š Wave Properties

Simple Harmonic Motion Period (Spring)

Physics β†’ Waves and Oscillations β†’ Simple Harmonic Motion β†’ Mass-Spring System
$$T = 2\pi\sqrt{\frac{m}{k}}$$
Period of oscillation for a mass on a spring.
πŸ“– Physics πŸ“š Simple Harmonic Motion

Electric Field (Point Charge)

Physics β†’ Electricity and Magnetism β†’ Electrostatics β†’ Electric Field
$$E = k\frac{q}{r^2}$$
Electric field magnitude due to a point charge.
πŸ“– Physics πŸ“š Electrostatics
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