# Power Factor in a RLC Circuit Calculator

The Power Factor in a RLC Circuit Calculator will calculate the:

1. The power factor (cos φ) of a RLC circuit

Calculator Parameter: The conducting wire of circuit and material the inductor is made from, are both uniform and they have the same thickness everywhere; the source supplies AC current.

 🖹 Normal View🗖 Full Page View Calculator Precision (Decimal Places)0123456789101112131415 Driving frequency of the circuit (fd) Hz Resistance of the resistor (R) Ω Inductance of the inductor (L) H Capacitance of the capacitor (C) F Archimedes constant (π)
Power factor of the circuit calculation The power factor of the circuit is cosφ = R/√R2 + 2 × π × fd × 1/2 × π × fd × C2cosφ = /√2 + 2 × × × 1/2 × × × 2cosφ = /√ + 2 × × × 1/2cosφ = /√ + 2 × × × 2cosφ = /√ + 2cosφ = /√ + cosφ = /√cosφ = /cosφ = Driving frequency of the circuit (fd) Hz [Hertz] Resistance of the resistor (R) Ω [Ohm] Inductance of the inductor (L) H [Henry] Capacitance of the capacitor (C) F [Farad] Archimedes constant (π)

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each power factor in a rlc circuit calculation, the Power Factor In A Rlc Circuit Calculator will automatically calculate the results and update the Physics formula elements with each element of the power factor in a rlc circuit calculation. You can then email or print this power factor in a rlc circuit calculation as required for later use.

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## Power factor of the circuit Formula and Calculation

cosφ = R/R2 + 2 × π × fd × 1/2 × π × fd × C2

This formula derives from

cosφ = R/Z = R/R2 + (XL - XC )2

where Z is the impedance of the circuit and XL = 2 · π · fd · L and XC = 1 / (2 · π · fd · C) are the inductive and capacitive reactances respectively.

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