Report

Help us improve this tool

RC RL Time Constant Calculator

Calculate time constants for RC (resistor-capacitor) and RL (resistor-inductor) circuits online. Free electronics time constant calculator.

O M T

What is a Time Constant?

The time constant (τ) is a fundamental parameter in electrical circuits that describes how quickly a capacitor charges or discharges (RC circuits) or how quickly current builds up in an inductor (RL circuits). After one time constant, the circuit reaches approximately 63.2% of its final value.

Time Constant Formulas

The calculator supports two circuit types:

  • RC Circuit: τ = R × C — where R is resistance in ohms and C is capacitance in farads
  • RL Circuit: τ = L / R — where L is inductance in henries and R is resistance in ohms

How to Use the Calculator

Select the circuit type (RC or RL) and the variable to solve for:

  • Solve for Time Constant (τ): Enter the component values to calculate the time constant
  • Solve for Resistance (R): Enter the time constant and the other component value
  • Solve for Capacitance (C): Enter the time constant and resistance (RC mode)
  • Solve for Inductance (L): Enter the time constant and resistance (RL mode)

Applications

Time constant calculations are essential for:

  • Filter circuit design (low-pass, high-pass)
  • Timing and delay circuits
  • Power supply smoothing and decoupling
  • Signal processing and integrator circuits
  • Motor control and inductive load switching

Also check: Resistor Calculator, Resistance Converter, Voltage Drop Calculator, Power Calculator, Work Calculator, and Unit Converter.

Frequently Asked Questions

What does the time constant represent?

The time constant is the time required for a circuit to charge or discharge to 63.2% of its final value. After 5 time constants, the circuit reaches over 99% of its final value.

What is the difference between RC and RL time constants?

For RC circuits, τ = RC (resistance times capacitance). For RL circuits, τ = L/R (inductance divided by resistance). Both represent the same concept of exponential approach to steady state.

How many time constants until a capacitor is fully charged?

A capacitor is considered fully charged after 5 time constants (5τ), at which point it has reached over 99.3% of the applied voltage.

What happens after one time constant in an RC circuit?

After one time constant, the capacitor charges to about 63.2% of the source voltage (charging) or discharges to about 36.8% of the initial voltage (discharging).