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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.

Power Factor in a RLC Circuit Calculator
Power Factor in a RLC Circuit Calculator Results (detailed calculations and formula below)
The power factor of the circuit is
Power factor of the circuit calculation
cosφ = R/R2 + 2 × π × fd × 1/2 × π × fd × C2
cosφ = /2 + 2 × × × 1/2 × × × 2
cosφ = / + 2 × × × 1/2
cosφ = / + 2 × × × 2
cosφ = / + 2
cosφ = / +
cosφ = /
cosφ = /
cosφ =
Power Factor In A Rlc Circuit Calculator Input Values
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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Discover Physics with free Physics Revision Notes and Physics Calculator: Power Factor In A Rlc Circuit. This image shows the properties and power factor in a rlc circuit formula for the Power Factor In A Rlc Circuit. The Power Factor in a RLC Circuit Calculator will calculate the power factor (cos φ) of a RLC circuit. Note: The conducting wire of circuit and material the inductor is made from, are both uniform and they have the same thickness everywhere

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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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