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Apparent Power Formula

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Apparent power is the combination of reactive power and true power and it is the product of a circuit's voltage and current. Check FAQs

S = \frac{P rated}{PF}

S - Apparent Power?P_rated - Rated Real Power?PF - Power Factor?

Apparent Power Example

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With units

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Here is how the Apparent Power equation looks like with Values.

Here is how the Apparent Power equation looks like with Units.

Here is how the Apparent Power equation looks like.

48.0156 = \frac{21.607}{0.45}

48.0156kVA = \frac{21.607kW}{0.45}

48.0156 = \frac{21.607}{0.45}

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Apparent Power Solution

Follow our step by step solution on how to calculate Apparent Power?

FIRST Step Consider the formula

S = \frac{P rated}{PF}

Next Step Substitute values of Variables

∴

S = \frac{21.607kW}{0.45}

Next Step Convert Units

∴

S = \frac{21607W}{0.45}

Next Step Prepare to Evaluate

∴

S = \frac{21607}{0.45}

Next Step Evaluate

∴

S = 48015.5555555556W

Next Step Convert to Output's Unit

∴

S = 48.0155555555556kVA

LAST Step Rounding Answer

∴

S = 48.0156kVA

Apparent Power Formula Elements

Variables

Apparent Power

Apparent power is the combination of reactive power and true power and it is the product of a circuit's voltage and current.

Symbol: S

Measurement: PowerUnit: kVA

Note: Value should be greater than 0.

Formulas to find Apparent Power

Rated Real Power

Rated 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_rated

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Rated Real Power

Power Factor

The power factor of an AC electrical power system is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit.

Symbol: PF

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Power Factor

Other formulas in Electrical Parameters category

Go Specific Electric Loading

q av = \frac{I a \cdot Z}{π \cdot n || \cdot D a}

Go Specific Electric Loading using Output Coefficient AC

q av = \frac{C o(ac) \cdot 1000}{11 \cdot B av \cdot K w}

Go Winding Factor using Output Coefficient AC

K w = \frac{C o(ac) \cdot 1000}{11 \cdot B av \cdot q av}

Go Output Power of Synchronous Machine

P o = C o(ac) \cdot 1000 \cdot {D a}^{2} \cdot L a \cdot N s

How to Evaluate Apparent Power?

Apparent Power evaluator uses Apparent Power = Rated Real Power/Power Factor to evaluate the Apparent Power, The apparent power can also be calculated using the power factor (PF) and the real power (P). Where the power factor is the cosine of the phase angle between the voltage and current waveforms and represents the ratio of real power to apparent power. Apparent Power is measured in KVA. One kVA is equal to 1000VA.The total power flowing is known as the “apparent power” and is measured as the product of the supply voltage and supply current (V * I). Apparent Power is denoted by S symbol.

How to evaluate Apparent Power using this online evaluator? To use this online evaluator for Apparent Power, enter Rated Real Power (P_rated) & Power Factor (PF) and hit the calculate button.

FAQs on Apparent Power

What is the formula to find Apparent Power?

The formula of Apparent Power is expressed as Apparent Power = Rated Real Power/Power Factor. Here is an example- 0.048016 = 21607/0.45.

How to calculate Apparent Power?

With Rated Real Power (P_rated) & Power Factor (PF) we can find Apparent Power using the formula - Apparent Power = Rated Real Power/Power Factor.

Can the Apparent Power be negative?

No, the Apparent Power, measured in Power cannot be negative.

Which unit is used to measure Apparent Power?

Apparent Power is usually measured using the Kilovolt Ampere[kVA] for Power. Watt[kVA], Kilowatt[kVA], Milliwatt[kVA] are the few other units in which Apparent Power can be measured.

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