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RC Time Constant Calculator — Solve τ, R or C + Cutoff & Timing
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Calculated result
τ = 1,000 ms
Solved RC set: 10 kΩ · 100 µF · τ 1,000 ms
5τ settling reference: 5 s · ideal charge ≈ 99.326%
First-order cutoff: 0.159155 Hz
Time to 90% charge: 2.302585 s
Time to 10% remaining on discharge: 2.302585 s
Charge reference: 1τ 63.212% · 3τ 95.021% · 5τ 99.326%
Show the working
- 1. τ = 10 kΩ × 100 µF = 1,000 ms.
- 2. fc = 1 ÷ (2π × 1 s) = 0.159154943 Hz.
- 3. Charge target time = −τ ln(1 − 0.9) = 2.302585093 s.
- 4. Discharge target time = −τ ln(0.1) = 2.302585093 s.
Ideal first-order RC model. Component tolerance, leakage, ESR, source impedance and connected load can shift real timing.
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