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Reactive Power Formula

GoReactive Power using Line-to-Neutral Current Formula

GoReactive Power using RMS Voltage and Current Formula

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Reactive Power is a measure of the energy exchange between the source and the reactive part of the load. Check FAQs

Q = I \cdot V \cdot \sin (Φ)

Q - Reactive Power?I - Current?V - Voltage?Φ - Phase Difference?

Reactive Power Example

With values

With units

Only example

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

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

Here is how the Reactive Power equation looks like.

136.5 = 2.1 \cdot 130 \cdot \sin (30)

136.5VAR = 2.1A \cdot 130V \cdot \sin (30°)

136.5 = 2.1 \cdot 130 \cdot \sin (30)

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Reactive Power Solution

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

FIRST Step Consider the formula

Q = I \cdot V \cdot \sin (Φ)

Next Step Substitute values of Variables

∴

Q = 2.1A \cdot 130V \cdot \sin (30°)

Next Step Convert Units

∴

Q = 2.1A \cdot 130V \cdot \sin (0.5236rad)

Next Step Prepare to Evaluate

∴

Q = 2.1 \cdot 130 \cdot \sin (0.5236)

Next Step Evaluate

∴

Q = 136.5W

LAST Step Convert to Output's Unit

∴

Q = 136.5VAR

Reactive Power Formula Elements

Variables

Functions

Reactive Power

Reactive Power is a measure of the energy exchange between the source and the reactive part of the load.

Symbol: Q

Measurement: PowerUnit: VAR

Note: Value can be positive or negative.

Formulas to find Reactive Power

Current

Current or AC is an electric current which periodically reverses direction and changes its magnitude continuously with time in contrast to direct current which flows only in one direction.

Symbol: I

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Current

Voltage

Voltage is used to determine the value of the potential difference between terminals where alternating current flows.

Symbol: V

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Voltage

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Reactive Power

Go Reactive Power using Line-to-Neutral Current

Q = 3 \cdot I ln \cdot V ln \cdot \sin (Φ)

Go Reactive Power using RMS Voltage and Current

Q = V rms \cdot I rms \cdot \sin (Φ)

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 Reactive Power?

Reactive Power evaluator uses Reactive Power = Current*Voltage*sin(Phase Difference) to evaluate the Reactive Power, Reactive power is the power that flows back from a destination toward the grid in an alternating current scenario. Reactive Power is denoted by Q symbol.

How to evaluate Reactive Power using this online evaluator? To use this online evaluator for Reactive Power, enter Current (I), Voltage (V) & Phase Difference (Φ) and hit the calculate button.

FAQs on Reactive Power

What is the formula to find Reactive Power?

The formula of Reactive Power is expressed as Reactive Power = Current*Voltage*sin(Phase Difference). Here is an example- 136.5 = 2.1*130*sin(0.5235987755982).

How to calculate Reactive Power?

With Current (I), Voltage (V) & Phase Difference (Φ) we can find Reactive Power using the formula - Reactive Power = Current*Voltage*sin(Phase Difference). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Reactive Power?

Here are the different ways to Calculate Reactive Power-

Reactive Power=3*Line to Neutral Current*Line to Neutral Voltage*sin(Phase Difference)
Reactive Power=Root Mean Square Voltage*Root Mean Square Current*sin(Phase Difference)

Can the Reactive Power be negative?

Yes, the Reactive Power, measured in Power can be negative.

Which unit is used to measure Reactive Power?

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

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Reactive Power Formula

​GoReactive Power using Line-to-Neutral Current Formula

​GoReactive Power using RMS Voltage and Current Formula

Reactive Power Example

Reactive Power Solution

Reactive Power Formula Elements

Other Formulas to find Reactive Power

Other formulas in AC Power category

How to Evaluate Reactive Power?

FAQs on Reactive Power

Variable Name

GoReactive Power using Line-to-Neutral Current Formula

GoReactive Power using RMS Voltage and Current Formula