RC Circuit Calculator

Your details

Series RC: R and C connected end to end. Parallel RC: R and C share both terminals.
The resistance in the circuit. Select the prefix that matches your component value.
The capacitance of the capacitor. Select the appropriate prefix (uF is most common for timing circuits).
Optional. The DC supply voltage used to calculate charge and discharge voltages at time t.
V
The elapsed time for which to calculate the capacitor voltage during charging or discharging.
The frequency of an AC signal. Used to calculate capacitive reactance, impedance, phase shift, and filter gain at this frequency.
Determines the phase shift direction and filter gain formula.
Time constant (tau)
1000 ms

tau = R x C. Time to reach 63.2% of supply voltage when charging.

Cutoff frequency (fc)159.2 mHz
Capacitive reactance (Xc)1.592 Ohm
Total impedance (Z)10.00 kOhm
Phase shift-89.99 deg
Filter gain0.0002
Filter gain (dB)-75.96 dB
Voltage at t (charging)0.0050 V
Voltage at t (discharging)4.9950 V
Charge at 1 tau63.2%
Charge at 3 tau95%
Charge at 5 tau99.3%
Charge at 1 tau (%)63.2
Charge at 3 tau (%)95
Charge at 5 tau (%)99.3

RC time constant is 1000 ms and cutoff is 159.2 mHz.

  • At 1 time constant (1000 ms), a charging capacitor reaches 63.2% of the supply voltage.
  • At 3 time constants (3.000 s), the capacitor is at 95% of supply voltage, and at 5 time constants (5.000 s) it is considered fully charged (99.3%).
  • The -3 dB cutoff frequency is 159.2 mHz. Signals below this pass with little attenuation in a low-pass configuration; signals above it are progressively attenuated.
  • At your chosen signal frequency, the low-pass filter passes 0.0% of the input amplitude (-75.96 dB).

Next stepTo shift the cutoff frequency up by a decade, reduce R or C by a factor of 10. To shift it down, increase either by the same factor.

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