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RC Capacitor Charge Time Calculator — result sheet
Calculate the time for a resistor-capacitor circuit to reach a selected percentage of its final charge.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: t = −RC ln(1 − p), after converting capacitance from microfarads to farads and p from percent to a fraction.
An ideal first-order RC circuit approaches its final charge exponentially rather than reaching it at a finite exact time.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Resistance — Ω; minimum 1.0E-6; maximum 1000000000
- Capacitance — µF; minimum 1.0E-6; maximum 1000000000
- Target charge — %; minimum 1.0E-6; maximum 99.999999
Worked example
| Input | Value |
|---|---|
| Resistance | 1000 |
| Capacitance | 100 |
| Target charge | 90 |
Time ≈ 0.2303 seconds.
Assumptions and limits
- Resistance is in ohms and capacitance is entered in microfarads.
- The capacitor starts uncharged and the source is an ideal step.
- Leakage, switch resistance, source impedance, voltage level, and component tolerances are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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