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Formulas

Formula Library

Learn from categorized formulas

Showing 24 of 341 formulas Page 14 of 15

Force in Magnetic Field

Physics → Magnetism → Magnetic Effects of Electric Current → Magnetic Force
$$F = BIl \sin \theta$$
Force on a current-carrying conductor in a magnetic field.
📖 Physics 📚 Magnetic Effects of Electric Current

Commercial Unit of Energy

Physics → Electricity → Electricity → Energy
$$1 kWh = 3.6 \times 10^6 J$$
Conversion between kilowatt-hour and Joules.
📖 Physics 📚 Electricity

Heat Capacity (Basic)

Physics → Thermodynamics → Sources of Energy → Thermal Energy
$$Q = mc\Delta T$$
Heat energy required to change temperature of a mass.
📖 Physics 📚 Sources of Energy

Angular Frequency (Wave)

Physics → Waves → Sound → Oscillations
$$\omega = 2\pi f$$
Rate of change of angular displacement.
📖 Physics 📚 Sound

Echo Distance

Physics → Waves → Sound → Reflection of Sound
$$d = \frac{v \times t}{2}$$
Calculating distance of an obstacle based on the time sound takes to return.
📖 Physics 📚 Sound

Transformer Ratio

Physics → Electricity → Magnetic Effects of Electric Current → Induction
$$\frac{V_s}{V_p} = \frac{N_s}{N_p}$$
Relationship between voltages and number of turns in a transformer.
📖 Physics 📚 Magnetic Effects of Electric Current

Efficiency

Physics → General → Sources of Energy → Energy Transformation
$$\eta = \frac{\text{Output Energy}}{\text{Input Energy}} \times 100$$
Ratio of useful work to total energy input.
📖 Physics 📚 Sources of Energy

Coulomb's Law (Intro)

Physics → Electricity → Electricity → Electrostatics
$$F = k \frac{q_1 q_2}{r^2}$$
The electrical force between two charges.
📖 Physics 📚 Electricity

Current in Series

Physics → Electricity → Electricity → Circuit Analysis
$$I_{total} = I_1 = I_2 = I_3$$
In a series circuit, current remains the same at all points.
📖 Physics 📚 Electricity

Voltage in Parallel

Physics → Electricity → Electricity → Circuit Analysis
$$V_{total} = V_1 = V_2 = V_3$$
In a parallel circuit, the potential difference across each branch is the same.
📖 Physics 📚 Electricity

Refractive Index (Apparent Depth)

Physics → Optics → Light - Reflection and Refraction → Refraction
$$n = \frac{\text{Real Depth}}{\text{Apparent Depth}}$$
Why an object underwater appears shallower than it is.
📖 Physics 📚 Light - Reflection and Refraction

Absolute Refractive Index

Physics → Optics → Light - Reflection and Refraction → Refraction
$$n_2/n_1 = v_1/v_2$$
Relationship between refractive indices and speeds of light in two media.
📖 Physics 📚 Light - Reflection and Refraction

Total Energy (Mechanical)

Physics → Mechanics → Work and Energy → Energy
$$E_{total} = E_k + E_p$$
Sum of kinetic and potential energy in a system.
📖 Physics 📚 Work and Energy

Coulomb's Law (Vector Form)

Physics → Electromagnetism → Electric Charges and Fields → Electrostatics
$$\vec{F} = \frac{1}{4\pi\epsilon_0} \frac{q_1 q_2}{r^2} \hat{r}$$
Force between two point charges in vacuum.
📖 Physics 📚 Electric Charges and Fields

Gauss's Law

Physics → Electromagnetism → Electric Charges and Fields → Electric Flux
$$\oint \vec{E} \cdot d\vec{A} = \frac{q_{in}}{\epsilon_0}$$
Total electric flux through a closed surface is $1/\epsilon_0$ times the net charge enclosed.
📖 Physics 📚 Electric Charges and Fields

Energy Stored in Capacitor

Physics → Electromagnetism → Electrostatic Potential and Capacitance → Capacitors
$$U = \frac{1}{2}CV^2 = \frac{1}{2}QV$$
Potential energy stored in the electric field of a capacitor.
📖 Physics 📚 Electrostatic Potential and Capacitance

Drift Velocity

Physics → Electricity → Current Electricity → Conduction
$$v_d = \frac{eE\tau}{m}$$
Average velocity attained by electrons in a conductor due to an electric field.
📖 Physics 📚 Current Electricity

Kirchhoff's Junction Rule (KCL)

Physics → Electricity → Current Electricity → Circuit Laws
$$\sum I_{in} = \sum I_{out}$$
Sum of currents entering a junction equals the sum of currents leaving it.
📖 Physics 📚 Current Electricity

Wheatstone Bridge Balance

Physics → Electricity → Current Electricity → Measuring Instruments
$$\frac{P}{Q} = \frac{R}{S}$$
Condition for zero current through the galvanometer in a bridge circuit.
📖 Physics 📚 Current Electricity

Cyclotron Frequency

Physics → Magnetism → Moving Charges And Magnetism → Motion in B-Field
$$f = \frac{qB}{2\pi m}$$
Frequency of a charged particle revolving in a perpendicular magnetic field.
📖 Physics 📚 Moving Charges And Magnetism

Self Inductance (Solenoid)

Physics → Magnetism → Electromagnetic Induction → Inductance
$$L = \frac{\mu_0 N^2 A}{l}$$
Property of a coil to oppose changes in current through itself.
📖 Physics 📚 Electromagnetic Induction

RMS Voltage (AC)

Physics → Electricity → Alternating Current → AC Basics
$$V_{rms} = \frac{V_0}{\sqrt{2}} \approx 0.707 V_0$$
The effective value of an alternating voltage.
📖 Physics 📚 Alternating Current

Impedance (LCR Series)

Physics → Electricity → Alternating Current → AC Circuits
$$Z = \sqrt{R^2 + (X_L - X_C)^2}$$
Total effective resistance of a series LCR circuit.
📖 Physics 📚 Alternating Current

Bohr's Quantization Condition

Physics → Modern Physics → Atoms → Atomic Models
$$mvr = \frac{nh}{2\pi}$$
Angular momentum of an electron in a stable orbit is quantized.
📖 Physics 📚 Atoms
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