RC Circuit Calculator

RC Circuit Calculator

Calculate the time constant, energy, and charge for a resistor-capacitor (RC) circuit.

Last updated: March 2026 | By ForgeCalc Engineering

Time Constant (τ)
10.00
Milliseconds (ms)
Stored Energy
0.1250 mJ
Max Charge
50.00 µC

What is an RC Circuit?

An RC circuit is an electrical circuit composed of resistors and capacitors. It is one of the most fundamental building blocks in electronics, used for filtering, timing, and energy storage.

The Time Constant (τ) is the time required to charge the capacitor, through the resistor, to approximately 63.2% of its full charge. After 5 time constants (5τ), the capacitor is considered fully charged (99.3%).

The Formulas

RC Circuit Fundamentals

τ = R × C

Time constant in seconds.

E = ½ × C × V²

Stored energy in Joules.

Frequently Asked Questions

What is the cutoff frequency?

For a simple RC filter, the cutoff frequency (f_c) is 1 / (2πRC). This is the point where the signal power is reduced by half.

How long does it take to fully charge?

Mathematically, it takes infinite time, but for practical engineering, we use 5 time constants (5τ) as the 'fully charged' point.

Can I use this for AC circuits?

Yes, but the behavior is more complex. In AC, the capacitor has 'reactance' (X_c = 1 / 2πfC) which varies with frequency.

What is the unit of charge?

The unit is the Coulomb (C). One Coulomb is the charge transported by a constant current of one ampere in one second.

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