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Complex Power given Power Factor Formula

GoComplex Power Formula

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Complex Power is basically the representation of electrical power in the form of complex numbers. Check FAQs

S = \frac{P}{\cos (Φ)}

S - Complex Power?P - Real Power?Φ - Phase Difference?

Complex Power given Power Factor Example

With values

With units

Only example

Here is how the Complex Power given Power Factor equation looks like with Values.

Here is how the Complex Power given Power Factor equation looks like with Units.

Here is how the Complex Power given Power Factor equation looks like.

271.3546 = \frac{235}{\cos (30)}

271.3546VA = \frac{235W}{\cos (30°)}

271.3546 = \frac{235}{\cos (30)}

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Complex Power given Power Factor Solution

Follow our step by step solution on how to calculate Complex Power given Power Factor?

FIRST Step Consider the formula

S = \frac{P}{\cos (Φ)}

Next Step Substitute values of Variables

∴

S = \frac{235W}{\cos (30°)}

Next Step Convert Units

∴

S = \frac{235W}{\cos (0.5236rad)}

Next Step Prepare to Evaluate

∴

S = \frac{235}{\cos (0.5236)}

Next Step Evaluate

∴

S = 271.354626519124W

Next Step Convert to Output's Unit

∴

S = 271.354626519124VA

LAST Step Rounding Answer

∴

S = 271.3546VA

Complex Power given Power Factor Formula Elements

Variables

Functions

Complex Power

Complex Power is basically the representation of electrical power in the form of complex numbers.

Symbol: S

Measurement: PowerUnit: VA

Note: Value can be positive or negative.

Formulas to find Complex Power

Real Power

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.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Real Power

Phase Difference

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.

Symbol: Φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Phase Difference

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Complex Power

Go Complex Power

S = \sqrt{P^{2} + Q^{2}}

Other formulas in AC Power category

Go Capacitance for Parallel RLC Circuit using Q Factor

C = \frac{L \cdot {Q ||}^{2}}{R^{2}}

Go Capacitance for Series RLC Circuit given Q Factor

C = \frac{L}{{Q se}^{2} \cdot R^{2}}

Go Capacitance given Cut off Frequency

C = \frac{1}{2 \cdot R \cdot π \cdot f c}

Go Capacitance using Time Constant

C = \frac{τ}{R}

How to Evaluate Complex Power given Power Factor?

Complex Power given Power Factor evaluator uses Complex Power = Real Power/cos(Phase Difference) to evaluate 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 evaluate Complex Power given Power Factor using this online evaluator? To use this online evaluator for Complex Power given Power Factor, enter Real Power (P) & Phase Difference (Φ) and hit the calculate button.

FAQs on Complex Power given Power Factor

What is the formula to find Complex Power given Power Factor?

The formula of Complex Power given Power Factor is expressed as Complex Power = Real Power/cos(Phase Difference). Here is an example- 271.3546 = 235/cos(0.5235987755982).

How to calculate Complex Power given Power Factor?

With Real Power (P) & Phase Difference (Φ) we can find Complex Power given Power Factor using the formula - Complex Power = Real Power/cos(Phase Difference). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Complex Power?

Here are the different ways to Calculate Complex Power-

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

Can the Complex Power given Power Factor be negative?

Yes, the Complex Power given Power Factor, measured in Power can be negative.

Which unit is used to measure Complex Power given Power Factor?

Complex Power given Power Factor is usually measured using the Volt Ampere[VA] for Power. Watt[VA], Kilowatt[VA], Milliwatt[VA] are the few other units in which Complex Power given Power Factor can be measured.

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