Calculator and formulas for calculating an RC integrator
This function can be used to calculate the properties of an RC integrator. The function calculates the capacitor, the resistance or the period or the frequency.
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The integrator works as a pulse shaper stage. The CR element generates a pulse-like alternating voltage at the output of the circuit from a square-wave voltage at the input.
T = Period
t1 = Pulse
If the length of the rectangular pulse (t1) corresponds to 5 times the time constant Τ of the CR circuit, a pulse train like the one in the figure below is created.
\(\displaystyle t1= 5 · R · C\) ⇒ \(\displaystyle R=\frac{t1}{5 · C} \) ⇒ \(\displaystyle C=\frac{t1}{5 · R} \)
If the pulse duration of the input voltage is greater than 5 T, steeper pulses equal to the input voltage are generated
The time constant of an RC element is the product of R • C. The unit of measurement is the second. The symbol is the Greek letter \(τ \) (tau),
After 5 tau the charge is approx. 99.3%.
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