Complex Power given Power Factor Calculator

✖The Real Power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load.ⓘ Real Power [P]			+10% -10%
✖Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.ⓘ Phase Difference [Φ]			+10% -10%

✖Complex Power is basically the representation of electrical power in the form of complex numbers.ⓘ Complex Power given Power Factor [S]

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Complex Power given Power Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Complex Power = Real Power/cos(Phase Difference)
S = P/cos(Φ)
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Complex Power - (Measured in Watt) - Complex Power is basically the representation of electrical power in the form of complex numbers.
Real Power - (Measured in Watt) - The Real Power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load.
Phase Difference - (Measured in Radian) - Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.

STEP 1: Convert Input(s) to Base Unit

Real Power: 235 Watt --> 235 Watt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = P/cos(Φ) --> 235/cos(0.5235987755982)

Evaluating ... ...

S = 271.354626519124

STEP 3: Convert Result to Output's Unit

271.354626519124 Watt -->271.354626519124 Volt Ampere (Check conversion here)

FINAL ANSWER

271.354626519124 ≈ 271.3546 Volt Ampere <-- Complex Power

(Calculation completed in 00.020 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< AC Power Calculators

Power in Single-Phase AC Circuits using Voltage

LaTeX Go Real Power = (Voltage^2*cos(Phase Difference))/Resistance

Power in Single-Phase AC Circuits using Current

LaTeX Go Real Power = Current^2*Resistance*cos(Phase Difference)

Power in Single-Phase AC Circuits

LaTeX Go Real Power = Voltage*Current*cos(Phase Difference)

Complex Power

LaTeX Go Complex Power = sqrt(Real Power^2+Reactive Power^2)

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Capacitance for Parallel RLC Circuit using Q Factor

LaTeX Go Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2

Capacitance for Series RLC Circuit given Q Factor

LaTeX Go Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)

Capacitance given Cut off Frequency

LaTeX Go Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)

Capacitance using Time Constant

LaTeX Go Capacitance = Time Constant/Resistance

Complex Power given Power Factor Formula

LaTeX Go

Complex Power = Real Power/cos(Phase Difference)
S = P/cos(Φ)

What is the difference between single phase and three phase power supply?

In a single-phase supply, the power flows through one conductor whereas the three-phase supply consists of three conductors for power supply. The single-phase supply requires two wires (one phase and one neutral) for completing the circuit. The three-phase requires three-phase wires and one neutral wire for completing the circuit.

How to Calculate Complex Power given Power Factor?

Complex Power given Power Factor calculator uses Complex Power = Real Power/cos(Phase Difference) to calculate the Complex Power, Complex Power given Power Factor is the product of the rms voltage phasor and the complex conjugate of the rms current phasor. Complex Power is denoted by S symbol.

How to calculate Complex Power given Power Factor using this online calculator? To use this online calculator for Complex Power given Power Factor, enter Real Power (P) & Phase Difference (Φ) and hit the calculate button. Here is how the Complex Power given Power Factor calculation can be explained with given input values -> 271.3546 = 235/cos(0.5235987755982).

FAQ

What is Complex Power given Power Factor?

Complex Power given Power Factor is the product of the rms voltage phasor and the complex conjugate of the rms current phasor and is represented as S = P/cos(Φ) or Complex Power = Real Power/cos(Phase Difference). The Real Power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load & Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.

How to calculate Complex Power given Power Factor?

Complex Power given Power Factor is the product of the rms voltage phasor and the complex conjugate of the rms current phasor is calculated using Complex Power = Real Power/cos(Phase Difference). To calculate Complex Power given Power Factor, you need Real Power (P) & Phase Difference (Φ). With our tool, you need to enter the respective value for Real Power & Phase Difference and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Complex Power?

In this formula, Complex Power uses Real Power & Phase Difference. We can use 2 other way(s) to calculate the same, which is/are as follows -

Complex Power = sqrt(Real Power^2+Reactive Power^2)
Complex Power = sqrt(Real Power^2+Reactive Power^2)

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