Sensor Selection Guide Calculator
Sensor type and specs from measurement requirements.
Inputs
%
Results
Time Constant τ (ms)
1,000
Time to Target (ms)
999.67
Time to 63.2% (ms)1,000
Time to 99% (ms)5,000
LP Cutoff Frequency (Hz)0.16
Voltage at 1τ (V)3.16
Energy Stored (µJ)1,250
Impedance at Cutoff (Ω)14,142.14
Tau Us1,000,000
Time To95pct3,000%
How to Use This Calculator
- Enter the resistance (Ω) and capacitance (µF) values for your RC timing circuit.
- Set your supply voltage and the target charge percentage (e.g., 63% for one time constant).
- Review the time constant τ (ms), time to reach your target percentage, and low-pass cutoff frequency.
- Use these values to select the correct capacitor or resistor to achieve your desired timing.
How the result changes with Resistance (Ω)
| Resistance (Ω) | Time Constant τ (ms) | Time to Target (ms) |
|---|---|---|
| 10,000,001 | 1,000,000.1 | 999,672.44 |
| 35,000,001 | 3,500,000.1 | 3,498,853.29 |
| 65,000,000 | 6,500,000 | 6,497,870.22 |
| 90,000,000 | 9,000,000 | 8,997,051.07 |
What each input means
- Resistance (Ω)
- Resistance in ohms. Common values: 1k, 10k, 100k.
- Capacitance (µF)
- Capacitance in microfarads. Common: 0.1µF (decoupling), 100µF (filtering), 1000µF (power supply).
- Supply Voltage (V)
- Charging voltage applied to the RC circuit.
- Target Charge (%)
- Desired charge percentage to calculate time for (63.2% = 1 tau).
What each result means
- Time Constant τ (ms)
- RC time constant = R × C. Time to reach 63.2% of final voltage.
- Time to Target (ms)
- Time to reach your specified charge percentage.
- Time to 63.2% (ms)
- Time to charge to 63.2% (1τ).
- Time to 99% (ms)
- Time to charge to ~99% (5τ). Considered fully charged.
- LP Cutoff Frequency (Hz)
- Low-pass filter -3dB cutoff: f = 1/(2πRC).
- Voltage at 1τ (V)
- Capacitor voltage after one time constant.
- Energy Stored (µJ)
- Energy stored when fully charged: E = ½CV².
- Impedance at Cutoff (Ω)
- Circuit impedance at the cutoff frequency.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersResistance (Ω) = 10000, Capacitance (µF) = 100, Supply Voltage (V) = 5, Target Charge (%) = 63.2 = 4 input(s) provided
- Calculate Time Constant τTime Constant τ = tauSeconds * 10001000 = 1000
- Calculate Time to TargetTime to Target = timeToTarget * 1000999.672 = 999.672
- Calculate Time to 63.2%Time to 63.2% = tauSeconds * 10001000 = 1000
- Calculate Time to 99%Time to 99% = tauSeconds * 5 * 10005000 = 5000
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators.
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