Calculate R and C for impedance
Calculator and formulas for calculating R and C for a given impedance and cutoff frequency
With this function, the resistor and the capacitor of an RC series circuit (High pass / low pass) can be calculated with a given impedance and cutoff frequency.
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Formulas for calculating R and C
At the cutoff frequency, the reactance of the capacitor is identical to the ohmic resistance.
The formula\(\displaystyle Z^2 = R^2 + X_C^2 \)
can be switched to
\(\displaystyle Z^2 = 2 · R^2 \) oder \(\displaystyle Z = \sqrt{2} · R\)
Calculate resistor : \(\displaystyle R=\frac{Z}{\sqrt{2}} \)
Calculate capacitor : \(\displaystyle C=\frac{1}{2·π·f·X_C} ⇒\) „ \(\displaystyle \frac{1}{2·π·f·R}\)
Capacitor functions
Series connection with capacitorsSeries connection with 2 capacitors
Reactance Xc of a capacitor
Time constant of an R/C circuit
Capacitor charging voltage
Capacitor discharge voltage
R/C for the charging voltage
Series circuit R/C
Parallel circuit R/C
Low pass-filter R/C
High pass-filter R/C
Integrator R/C
Differentiator R/C
Cutoff-frequency R,C
R and C for a given impedance
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