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Formulas

Formula Library

Learn from categorized formulas

Showing 24 of 341 formulas Page 3 of 15

Work Done by a Gas

Physics → Thermodynamics → Thermodynamic Processes → Pressure-Volume Work
$$W = \int_{V_1}^{V_2} P \, dV$$
The work performed by a gas during expansion or compression.
📖 Physics 📚 Thermodynamic Processes

Area of a Circle

Math → Geometry → 2D Shapes → Circles
$$A = \pi r^2$$
Total space enclosed within a circle.
📖 Math 📚 2D Shapes

Radioactive Decay Law

Physics → Nuclear Physics → Radioactivity → Decay Kinetics
$$N(t) = N_0 e^{-\lambda t}$$
Predicts the number of radioactive nuclei remaining after a certain time.
📖 Physics 📚 Radioactivity

Capacitance of Parallel Plate

Physics → Electromagnetism → Capacitance → Dielectrics
$$C = \frac{\epsilon_0 A}{d}$$
Calculates the storage capacity of a parallel plate capacitor.
📖 Physics 📚 Capacitance

Potential Energy

Physics → Mechanics → Work Energy → Potential Energy
$$U = mgh$$
Gravitational potential energy: $$U = mgh$$
📖 Physics 📚 Work Energy

Angular Velocity

Physics → Rotational Motion → Kinematics → Angular Motion
$$\omega = \frac{\theta}{t}$$
Rate of angular displacement
📖 Physics 📚 Kinematics

Torque

Physics → Rotational Motion → Dynamics → Torque
$$\tau = rF\sin\theta$$
Rotational force
📖 Physics 📚 Dynamics

Electric Power

Physics → Electricity → Power → Electric Power
$$P = VI$$
Electrical power relation
📖 Physics 📚 Power

Magnetic Force

Physics → Magnetism → Lorentz Force → Force
$$F = qvB\sin\theta$$
Force on moving charge
📖 Physics 📚 Lorentz Force

Resistors in Series

Physics → Electricity → Circuits → Resistance
$$R = R_1 + R_2 + R_3$$
Equivalent resistance
📖 Physics 📚 Circuits

Resistors in Parallel

Physics → Electricity → Circuits → Resistance
$$\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}$$
Parallel resistance
📖 Physics 📚 Circuits

Planck Equation

Physics → Quantum Mechanics → Photons → Energy
$$E = hf$$
Energy of photon
📖 Physics 📚 Photons

Logarithm Change of Base

Mathematics → Algebra → Logarithms → Transformation
$$\log_a b = \frac{\log_c b}{\log_c a}$$
Change of base formula
📖 Mathematics 📚 Logarithms

Binomial Expansion

Mathematics → Algebra → Polynomials → Expansion
$$(a+b)^2 = a^2 + 2ab + b^2$$
Square expansion
📖 Mathematics 📚 Polynomials

Area of Circle

Mathematics → Geometry → Circle → Area
$$A = \pi r^2$$
Area formula
📖 Mathematics 📚 Circle

Volume of Sphere

Mathematics → Geometry → 3d Shapes → Volume
$$V = \frac{4}{3}\pi r^3$$
Volume formula
📖 Mathematics 📚 3d Shapes

pH Formula

Chemistry → Acids Bases → pH Scale → Acidity
$$pH = -\log[H^+]$$
Acidity measure
📖 Chemistry 📚 pH Scale

Nernst Equation

Chemistry → Electrochemistry → Cells → Potential
$$E = E^\circ - \frac{0.0591}{n}\log Q$$
Cell potential
📖 Chemistry 📚 Cells

First Law of Thermodynamics

Physics → Thermodynamics → Energy → Law
$$\Delta U = Q - W$$
Energy conservation
📖 Physics 📚 Energy

Angular Momentum

Physics → Rotational Motion → Momentum → Angular Momentum
$$L = r p$$
Rotational momentum
📖 Physics 📚 Momentum

Escape Velocity

Physics → Gravitation → Motion → Escape
$$v = \sqrt{\frac{2GM}{r}}$$
Minimum velocity to escape gravity
📖 Physics 📚 Motion

Schrödinger Equation (Time-Independent)

Physics → Quantum Mechanics → Wave Mechanics → Schrödinger Equation
$$\hat{H}\psi = E\psi$$
Eigenvalue equation for quantum states, where $\hat{H}$ is the Hamiltonian operator.
📖 Physics 📚 Wave Mechanics

Euler's Formula

Mathematics → Complex Analysis → Complex Numbers → Exponential Form
$$e^{i\theta} = \cos\theta + i\sin\theta$$
Relates complex exponentials to trigonometric functions.
📖 Mathematics 📚 Complex Numbers

Lorentz Force

Physics → Electricity and Magnetism → Magnetic Fields → Force on a Charge
$$\mathbf{F} = q(\mathbf{E} + \mathbf{v} \times \mathbf{B})$$
Force on a charged particle due to electric and magnetic fields.
📖 Physics 📚 Magnetic Fields
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