List of all useable equations

The list of all usable equations can be found later on this site.

To limit the search, one can select up to 3 variables. Only equations containing the selected variables will be shown.

The variables are sorted alphabetically.

A (Radioactive) Activity [Bq]	A Specific activity [Bq kg^-1]	A Area [m²]	A Magnetic potential [A]
a Acceleration [m s⁻²]	a Thermal diffusivity [m² s^-1]	B Magnetic flux density [T]	C Capacitance [F]
C Heat capacity [J K⁻¹]	C_m Molar heat capacity [J K⁻¹ mol⁻¹]	c Specific heat capacity [J kg⁻¹ K⁻¹]	c Molar concentration [mol l⁻¹]
D (Radioactive) Dose [J kg⁻¹]	D Diffusivity [m² s⁻¹]	D Electric displacement field [C m⁻²]	D Diameter [m]
E Young modulus [N m⁻²]	E Energy [J]	E Electric field [V m⁻¹]	E Electrode Potential [V]
F Force [N]	F_R Friction [N]	f Frequency [Hz]	G Electrical conductance [S]
G Gibbs Free Energy [J]	G Shear modulus [N m⁻²]	g Gravitational acceleration [m s⁻¹]	H Dose equivalent [J kg⁻¹]
H Enthalpy [J]	H Magnetic field strength [A m⁻¹]	h Height [m]	h Heat transfer coefficient [W m⁻² K⁻¹]
I Intensity [W m⁻²]	I Electric Current [A]	I Moment of inertia [kg m²]	I_V Luminous intensity [cd]
J Current density [A m⁻²]	K Bulk modulus [N m⁻²]	k Rate constant [Mⁱ⁻¹ s⁻¹]	k Spring constant [N m⁻¹]
L Angular momentum [kg m² s⁻¹]	L Inductance [F m⁻¹]	l Length [m]	M Torque [N m]
M Magnetization [A m⁻¹]	M Molar mass [kg mol⁻¹]	m Mass [kg]	n Amount of substance [mol]
P Perimeter [m]	P Power [W]	p Pressure [Pa]	p Momentum [N s]
Q Electric charge [C]	Q Heat [J]	Q Volumetric flow rate [m³ s⁻¹]	q_m Mass flow rate [kg s⁻¹]
R Thermal resistance [W m² K⁻¹]	R Electrical resistance [Ω]	R Magnetic reluctance [H⁻¹]	r Radius [m]
S Electrical elastance [F⁻¹]	S Entropy [J K⁻¹]	T Temperature [K]	T Time period [s]
T_1/2 Half-life [s]	t Time [s]	U Voltage [V]	U Internal energy [J]
U Thermal transmittance [W m⁻² K⁻¹]	V Volume [m³]	V_m Molar volume [m³ mol⁻¹]	v Velocity [m s⁻¹]
v Specific volume [m³ kg⁻¹]	W Work [W s]	w Width [m]	Z Electrical impedance [Ω]
α Coefficient of thermal expansion [K⁻¹]	α Polarizability [C m² V⁻¹]	ε Permittivity [F m⁻¹]	ε_λ Molar attenuation coefficient [mol⁻¹ m²]
η Dynamic viscosity [Pa s]	λ Wavelength [m]	λ Linear charge density [s⁻¹]	λ Decay constant [s⁻¹]
λ Thermal conductivity [W m⁻¹ K⁻¹]	μ Chemical potential [J]	μ Magnetic moment [A m⁻²]	μ Permeability [H m⁻¹]
ν Kinematic viscosity [m² s⁻¹]	ν Wavenumber [m⁻¹]	ρ Specific energy [J kg⁻¹]	ρ Energy density [J m⁻³]
ρ Density [kg m⁻³]	ρ Electrical resistivity [Ω m]	ρ Volume charge density [A s m⁻³]	σ Stress [N m⁻²]
σ Surface charge density [A s m⁻²]	σ Electrical conductivity [S m⁻¹]	τ Mean lifetime [s]	φ Magnetic flux [Wb]
φ Rate of heat flow [W]	φ Electric potential [V]	ω Angular velocity [rad s⁻¹]

Equation name	Variable	Equation
Absorbed dose	(Radioactive) Dose, Energy, Mass	$D = \frac{E}{m}$
Acceleration	Acceleration, Velocity, Time	$a = \frac{v}{t}$
Acceleration voltage	Energy, Electric charge, Voltage	$E = Q \times U$
Amount of substance	Amount of substance, number of particles	$n = \frac{N}{N_{A}}$
Angular Momentum	Angular momentum, Moment of inertia, Angular velocity	$L = I \times ω$
Angular Velocity	Angular velocity, Angle, Time	$ω = \frac{α}{t}$
Angular Velocity	Angular velocity, Time period	$ω = \frac{2 \times π}{T}$
Archimedes' principle	Force, Gravitational acceleration, Density, Volume	$F = g \times ρ \times V$
Area of a rectangle	Area, Length, Width	$A = l \times w$
Arrhenius equation	Rate constant, Pre-exponential factor, Energy, Temperature	$k = A \times e x p (- \frac{E}{R \times T})$
Beer-Lambert law	Absorbance, Molar attenuation coefficient, Molar concentration, Length	$A = ε_{λ} \times c \times l$
Centripetal Force	Force, Mass, Velocity, Radius	$F = \frac{m \times v^{2}}{r}$
Charge density	Surface charge density, Electric charge, Area	$σ = \frac{Q}{A}$
Coulomb's law	Force, Permittivity, Electric charge, Electric charge, Length	$F = \frac{1}{4 π \times ε} \times \frac{Q \times Q}{l^{2}}$
Current Density	Current density, Electric Current, Area	$J = \frac{I}{A}$
Density	Density, Mass, Volume	$ρ = \frac{m}{V}$
De Broglie Wavelength	Wavelength, Momentum	$λ = \frac{h}{p}$
Diameter	Diameter, Radius	$D = 2 \times r$
Diffusivity, Stokes-Einstein equation	Diffusivity, Temperature, Dynamic viscosity, Radius	$D = \frac{k_{B} \times T}{6 π \times η \times r}$
Displacement during uniform acceleration	Length, Acceleration, Time	$l = \frac{1}{2} a \times (t)^{2}$
Drag Force	Force, Density, Area, drag coefficient, Velocity	$F = \frac{1}{2} ρ \times A \times c_{D} \times v^{2}$
Elastance	Electrical elastance, Capacitance	$S = \frac{1}{C}$
Electrical conductance	Electrical conductance, Electrical resistance	$G = \frac{1}{R}$
Electric current	Electric Current, Electric charge, Time	$I = \frac{Q}{t}$
Electric field strength	Electric field, Force, Electric charge	$E = \frac{F}{Q}$
Electric power	Power, Voltage, Electric Current	$P = U \times I$
Electrical resistance	Electrical resistance, Voltage, Electric Current	$R = \frac{U}{I}$
Energy stored in a coil	Energy, Inductance, Electric Current	$E = \frac{1}{2} \times L \times (I)^{2}$
Energy stored on a capacitor	Energy, Capacitance, Voltage	$E = \frac{1}{2} \times C \times U^{2}$
Enthalpy	Enthalpy, Internal energy, Pressure, Volume	$H = U + p \times V$
Force	Force, Mass, Acceleration	$F = m \times a$
Friction	Friction, Coefficient of Friction , Force	$F_{f} = μ \times F_{n}$
Gibbs Free Energy	Gibbs Free Energy, Enthalpy, Temperature, Entropy	$G = H - T \times S$
Gravitational potential energy	Energy, Mass, Gravitational acceleration, Height	$E = m \times g \times h$
Hooke's law	Force, Spring constant, Length	$F = k \times l$
Ideal gas law	Pressure, Volume, Amount of substance, Temperature	$p \times V = n \times R \times T$
Intensity	Intensity, Power, Area	$I = \frac{P}{A}$
Internal Energy	Internal energy, Heat, Work	$Δ U = Δ Q + Δ W$
Kinetic energy	Energy, Mass, Velocity	$E = \frac{1}{2} \times m \times v^{2}$
Linear Function	y-value, function value, slope, x-value, y-interception	$f(x) = a \times x + b$
Magnetic Flux	Magnetic flux, Magnetic flux density, Area	$ϕ = B \times A$
Magnetic reluctance	Magnetic reluctance, Electric Current, Winding number, Magnetic flux	$R = \frac{I \times N}{ϕ}$
Mass-energy equivalence	Energy, Mass	$E = m \times c^{2}$
Molar concentration	Molar concentration, Amount of substance, Volume	$c = \frac{n}{V}$
Molar mass	Molar mass, Mass, Amount of substance	$M = \frac{m}{n}$
Molar volume	Molar volume, Volume, Amount of substance	$V_{m} = \frac{V}{n}$
Mole Fraction / Molar Fraction	Mole Fraction, Amount of substance, Amount of substance	$x_{i} = \frac{n_{i}}{n_{t o t}}$
Momentum	Momentum, Mass, Velocity	$p = m \times v$
Period of a simple pendulum	Time period, Length, Gravitational acceleration	$T = 2 π \times \sqrt{\frac{l}{g}}$
Planck Einstein Relation	Energy, Frequency	$E = h \times f$
Power	Power, Work, Time	$P = \frac{W}{t}$
Pressure	Pressure, Force, Area	$p = \frac{F}{A}$
Probability	Probability, Number of desired outcomes, Number of possible outcomes	$P(E) = \frac{\|E\|}{\|Ω\|}$
Radioactive activity	(Radioactive) Activity, Decay constant, Number of particles	$A = λ \times N$
Rotational Energy	Energy, Moment of inertia, Angular velocity	$E_{r o t} = \frac{1}{2} \times I \times ω^{2}$
Self Capacitance Of A Conductor	Capacitance, Electric charge, Voltage	$C = \frac{Q}{U}$
Sine Angle	Angle, Length, Length	$\sin (α) = \frac{a}{b}$
Spring potential energy	Energy, Spring constant, Length	$E = \frac{1}{2} k \times l^{2}$
Tangential speed of a Rotation	Velocity, Angular velocity, Radius	$v = ω \times r$
Time period	Frequency, Time period	$f = \frac{1}{T}$
Torque	Torque, Force, Length	$M = F \times l$
Uniform electric field	Electric field, Voltage, Length	$E = \frac{U}{l}$
Velocity	Velocity, Length, Time	$v = \frac{l}{t}$
Volume of a Cuboid	Volume, Length, Width, Height	$V = l \times w \times h$
Volumetric Flow Rate	Volumetric flow rate, Area, Velocity	$Q = A \times v_{A}$
Volumetric Flow Rate	Volumetric flow rate, Volume, Time	$Q = \frac{V}{t}$
Wavelength	Wavelength, Velocity, Frequency	$λ = \frac{v}{f}$
Work	Work, Force, Length	$W = F \times l$
Young's Modulus	Young modulus, Stress, Axial strain	$E = \frac{σ}{ε}$