Capacitor Energy and Time Constant Calculator

Capacitor Energy and Time Constant Calculator calculator can be used to calculate the energy stored in a capacitor and the time constant of an RC circuit.

Input Parameters

Calculation Results

Energy Stored in Capacitor (E)

0.00 Joules

Formula: E = 0.5 * C * V²

Where:

E = Energy stored in the capacitor (Joules)

C = Capacitance (Farads)

V = Voltage across the capacitor (Volts)

Time Constant (τ)

0.00 Seconds

Formula: τ = R * C

Where:

τ = Time constant (Seconds)

R = Resistance (Ohms)

C = Capacitance (Farads)

Capacitor Energy and Time Constant Calculator Calculator Usage Guide

Learn how to use the Capacitor Energy and Time Constant Calculator calculator and its working principles

How to Use the Calculator

  1. Enter the capacitance value in Farads (F).
  2. Enter the voltage value in Volts (V).
  3. Enter the resistance value in Ohms (Ω).
  4. Click the "Calculate" button to compute the energy stored in the capacitor and the time constant of the RC circuit.
  5. The results will be displayed in Joules and Seconds, respectively.

Understanding the Formulas

The calculator uses the following formulas:

  • Energy Stored in Capacitor (E): E = 0.5 * C * V²
  • Time Constant (τ): τ = R * C

The energy stored in a capacitor is given by half the product of the capacitance and the square of the voltage across it. The time constant of an RC circuit is the product of the resistance and the capacitance, representing the time it takes for the capacitor to charge to approximately 63.2% of its maximum voltage.

Example

If you have a capacitor with a capacitance of 10 Farads and it is charged to a voltage of 5 Volts, and the circuit has a resistance of 100 Ohms:

Energy stored = 0.5 * 10 F * (5 V)² = 125 Joules

Time constant = 100 Ω * 10 F = 1000 Seconds