Tunneling & Fermi-Dirac Calculators

Transmission 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 […]

Heisenberg’s Uncertainty Principle Calculator

Heisenberg’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 […]

Planck’s Relation Calculator

Planck’s Relation Calculator Planck’s Relation Calculator Calculate the energy of a photon from its frequency using Planck’s relation. Step 1: Enter Frequency Frequency, \(f\) (Hz) Example: \(5 \times 10^{14}\) Hz (visible light) Calculate Photon Energy Calculated Photon Energy Energy, \(E\): Recalculate Planck’s Relation: $$ E = h \times f $$ where \( h = 6.62607015 […]

Nearly Spherical Surface Capacitance Calculator

Nearly Spherical Surface Capacitance Calculator Nearly Spherical Surface Capacitance Calculator Calculate the capacitance of a nearly spherical conductor. Step 1: Enter Conductor Details Sphere Radius, \(R\) (m) Example: 0.1 m (10 cm) Relative Permittivity, \(\epsilon_r\) For air, \(\epsilon_r \approx 1\); for other materials, use the appropriate value. Correction Factor, \(K\) Default is 1 for a […]

Single Phase Transmission Line Capacitance Calculator

Single Phase Transmission Line Capacitance Calculator Single Phase Transmission Line Capacitance Calculator Calculate the capacitance of a two-wire (single-phase) transmission line. Step 1: Enter Line Details Conductor Radius, \(r\) (m) Example: 0.005 m (5 mm) Distance Between Conductors, \(D\) (m) Enter the center-to-center distance Line Length, \(L\) (m) Relative Permittivity, \(\epsilon_r\) For air, \(\epsilon_r \approx […]

Three Phase Transmission Line Capacitance Calculator

Three Phase Transmission Line Capacitance Calculator Calculate the capacitance of a symmetric three-phase transmission line. Step 1: Enter Line Details Line Length, \(L\) (m) Conductor Radius, \(r\) (m) Enter the effective radius (or GMR) of the conductor. Geometric Mean Distance, \(D_m\) (m) Enter the geometric mean distance between conductors. Relative Permittivity, \(\epsilon_r\) For air, \(\epsilon_r […]

Capacitive Reactance Calculator

Capacitive Reactance Calculator Capacitive Reactance Calculator Calculate the capacitive reactance of a capacitor. Step 1: Enter the Details Frequency, \(f\) (Hz) Capacitance, \(C\) (F) Example: \(1 \times 10^{-6}\) F (1 µF) Calculate Reactance Calculated Capacitive Reactance Reactance, \(X_C\): Recalculate Capacitive Reactance Formula: $$ X_C = \frac{1}{2\pi f C} $$ (f in Hz, C in F, […]

Capacitor Energy & RC Time Constant Calculator

Capacitor Energy and RC Time Constant Calculator Capacitor Energy & RC Time Constant Calculator Calculate the energy stored in a capacitor and the RC time constant. Step 1: Enter Circuit Parameters Capacitance, \(C\) (F) Example: \(1 \times 10^{-6}\) F (1 µF) Voltage, \(V\) (V) Resistance, \(R\) (Ω) Used to calculate the RC time constant Calculate […]

Capacitor Energy & Time Constant Calculator

Capacitor Energy & Time Constant Calculator Capacitor Energy & Time Constant Calculator Calculate the energy stored in a capacitor and the RC time constant. Step 1: Enter Circuit Parameters Capacitance \(C\) (F) Example: \(1 \times 10^{-6}\) F (1 µF) Voltage \(V\) (V) Resistance \(R\) (Ω) Used to calculate the RC time constant Calculate Energy & […]

Capacitor Power Factor Correction Calculator

Capacitor Power Factor Correction Calculator Capacitor Power Factor Correction Calculator Calculate the reactive power and required capacitor rating for power factor correction. Step 1: Enter System Details Real Power, \(P\) (kW) Initial Power Factor, \(\text{PF}_i\) Enter as a decimal (e.g., 0.8 for 80%) Target Power Factor, \(\text{PF}_t\) Enter as a decimal (e.g., 0.95 for 95%) […]