RC Time Constant Calculator

Calculate the RC time constant of a resistor-capacitor circuit: tau = R * C.

Ω
μF

Time Constant (τ)

1.0000 s

Time Constant (ms)1,000.00 ms
Full Charge Time (5τ)5.0000 s

Time Constant (τ) vs Resistance

सूत्र

## RC Time Constant The time constant characterizes how quickly a capacitor charges or discharges through a resistor. ### Formula **τ = R * C** After one time constant, the capacitor reaches about 63.2% of its final value. After 5τ, it is over 99% charged.

हल किया गया उदाहरण

A 10 kΩ resistor with a 100 μF capacitor.

  1. 01τ = R * C
  2. 02τ = 10000 * 100e-6
  3. 03τ = 1.0 s
  4. 045τ = 5.0 s (99.3% charged)

अक्सर पूछे जाने वाले प्रश्न

What does one time constant mean physically?

After one time constant, the voltage across the capacitor has reached 63.2% of the supply voltage during charging, or dropped to 36.8% during discharging.

Why is 5 time constants considered fully charged?

After 5τ, the capacitor has reached 99.3% of its final value. The remaining 0.7% is negligible for most applications.

Where are RC circuits used?

RC circuits are used in filters, timing circuits, smoothing power supplies, debouncing switches, and many signal processing applications.

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