Capacitance and Inductance from Reactance Calculator Capacitance & Inductance from Reactance Calculator Compute capacitance or inductance by entering the frequency and reactance. Step 1: Enter Circuit Parameters Reactance Type Capacitive ReactanceInductive Reactance Frequency, \(f\) (Hz) Reactance, \(X\) (Ω) Calculate Results Recalculate For Capacitive Reactance: $$ C = \frac{1}{2\pi f X_C} $$ For Inductive Reactance: $$ […]
Read MoreDensity of States per Unit Volume Calculator Density of States Calculator Calculate the density of states per unit volume in a solid. Step 1: Enter Parameters Effective Mass, \(m\) (kg) Default: \(9.11 \times 10^{-31}\) kg (free electron mass) Energy, \(E\) (J) Example: \(1 \times 10^{-19}\) J Calculate Density of States Calculated Density of States Density […]
Read MoreParticle in a 1-D Box Energy Calculator Calculate the energy levels of a particle confined in a one-dimensional box. Step 1: Enter Parameters Mass, \(m\) (kg) Example: \(9.11 \times 10^{-31}\) kg for an electron Box Width, \(L\) (m) Example: \(1 \times 10^{-10}\) m Quantum Number, \(n\) Enter an integer \(n \geq 1\) Calculate Energy Calculated […]
Read MoreNewton’s Law of Cooling Calculator Newton’s Law of Cooling Calculator Calculate the temperature of an object at a given time using Newton’s Law of Cooling. Step 1: Enter Parameters Ambient Temperature, \(T_{\text{env}}\) (°C) Initial Temperature, \(T_0\) (°C) Cooling Constant, \(k\) (s\(^{-1}\)) A typical value depends on the object and environment. Time, \(t\) (s) Example: 600 […]
Read MoreRadiation Energy Calculator Calculate the total radiative power using the Stefan–Boltzmann law. Step 1: Enter Parameters Surface Area, \(A\) (m²) Example: 1 m² Temperature, \(T\) (K) Example: 300 K Emissivity, \(\epsilon\) Typically 1 for a perfect blackbody Calculate Radiative Power Calculated Radiative Power Radiative Power, \(P\): Recalculate Stefan–Boltzmann Law: $$ P = \epsilon\, \sigma\, A\, […]
Read MoreRydberg Formula Calculator Calculate the wavelength of a photon for a unielectronic species. Step 1: Enter Atomic Parameters Atomic Number, \(Z\) Example: 1 for Hydrogen, 2 for He\(^+\) Lower Energy Level, \(n_1\) Enter an integer (e.g., 1) Higher Energy Level, \(n_2\) Enter an integer greater than \(n_1\) (e.g., 2) Calculate Wavelength Calculated Wavelength Wavelength, \(\lambda\): […]
Read MoreEinstein Mass–Energy Calculator Einstein Mass–Energy Calculator Calculate the energy equivalent of a given mass using \(E = m c^2\). Step 1: Enter the Mass Mass, \(m\) (kg) Example: 1 kg Calculate Energy Calculated Energy Energy, \(E\): Recalculate Einstein’s Mass–Energy Relation: $$ E = m c^2 $$ with \( c = 3.0 \times 10^8 \) m/s.
Read MoreFermi-Dirac Distribution Calculator Fermi-Dirac Distribution Calculator Calculate the occupancy probability \(f(E)\) using the Fermi-Dirac distribution. Step 1: Enter Parameters Energy, \(E\) (J) Example: \(1 \times 10^{-19}\) J Chemical Potential, \(\mu\) (J) Example: \(1 \times 10^{-19}\) J Temperature, \(T\) (K) Example: 300 K Calculate \(f(E)\) Calculated Occupancy Probability \(f(E)\): Recalculate Fermi-Dirac Distribution: $$ f(E) = \frac{1}{\exp\Bigl(\frac{E-\mu}{k_B […]
Read MoreTransmission Coefficient Calculator Transmission Coefficient Calculator Calculate the tunneling probability for a particle through a 1-D barrier. Step 1: Enter Barrier Parameters Particle Mass, \(m\) (kg) Example: Electron mass \(9.11 \times 10^{-31}\) kg Barrier Height, \(U\) (J) Particle Energy, \(E\) (J) Barrier Width, \(L\) (m) Example: 1 nm (1e-9 m) Calculate Transmission Coefficient Calculated Transmission […]
Read MoreHeisenberg’s Uncertainty Principle Calculator Heisenberg’s Uncertainty Principle Calculator Calculate the minimum uncertainty in momentum or position. Step 1: Select Calculation Type Calculation Type Calculate \(\Delta p\) (Momentum Uncertainty) from \(\Delta x\)Calculate \(\Delta x\) (Position Uncertainty) from \(\Delta p\) Enter \(\Delta x\) (m) Example: \(1 \times 10^{-10}\) m (Optional) Frequency (Hz) Frequency is not used in […]
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