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Calcimator

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
  1. Enter the resistance (Ω) and capacitance (µF) values for your RC timing circuit.
  2. Set your supply voltage and the target charge percentage (e.g., 63% for one time constant).
  3. Review the time constant τ (ms), time to reach your target percentage, and low-pass cutoff frequency.
  4. 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)
10,000,0011,000,000.1999,672.44
35,000,0013,500,000.13,498,853.29
65,000,0006,500,0006,497,870.22
90,000,0009,000,0008,997,051.07

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

  1. Identify Input Parameters
    4 parameters
    Resistance (Ω) = 10000, Capacitance (µF) = 100, Supply Voltage (V) = 5, Target Charge (%) = 63.2 = 4 input(s) provided
  2. Calculate Time Constant τ
    Time Constant τ = tauSeconds * 1000
    1000 = 1000
  3. Calculate Time to Target
    Time to Target = timeToTarget * 1000
    999.672 = 999.672
  4. Calculate Time to 63.2%
    Time to 63.2% = tauSeconds * 1000
    1000 = 1000
  5. Calculate Time to 99%
    Time to 99% = tauSeconds * 5 * 1000
    5000 = 5000

Engine last updated . Checked against 2 independently-derived tests how we verify calculators.

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