Reactive Power Calculator

✖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.ⓘ Current [I]			+10% -10%
✖Voltage is used to determine the value of the potential difference between terminals where alternating current flows.ⓘ Voltage [V]			+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%

✖Reactive Power is a measure of the energy exchange between the source and the reactive part of the load.ⓘ Reactive Power [Q]

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Formula

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Reactive Power

Formula

Q = I \cdot V \cdot \sin (Φ)

Example

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

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Reactive Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reactive Power = Current*Voltage*sin(Phase Difference)
Q = I*V*sin(Φ)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sin(Angle)

Variables Used

Reactive Power - (Measured in Watt) - Reactive Power is a measure of the energy exchange between the source and the reactive part of the load.
Current - (Measured in Ampere) - 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.
Voltage - (Measured in Volt) - Voltage is used to determine the value of the potential difference between terminals where alternating current flows.
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

Current: 2.1 Ampere --> 2.1 Ampere No Conversion Required
Voltage: 130 Volt --> 130 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = I*V*sin(Φ) --> 2.1*130*sin(0.5235987755982)

Evaluating ... ...

Q = 136.5

STEP 3: Convert Result to Output's Unit

136.5 Watt -->136.5 Volt Ampere Reactive (Check conversion here)

FINAL ANSWER

136.5 Volt Ampere Reactive <-- Reactive Power

(Calculation completed in 00.004 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

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

Power in Single-Phase AC Circuits using Current

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

Power in Single-Phase AC Circuits

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

Complex Power

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

< AC Circuit Design Calculators

Capacitance for Parallel RLC Circuit using Q Factor

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

Capacitance for Series RLC Circuit given Q Factor

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

Capacitance given Cut off Frequency

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

Capacitance using Time Constant

Go Capacitance = Time Constant/Resistance

Reactive Power Formula

Reactive Power = Current*Voltage*sin(Phase Difference)
Q = I*V*sin(Φ)

What is the difference between real power and reactive power?

Real Power is equal to the Reactive Power i.e. there is no VAr in DC Circuits. Only Real Power exists. There is no Reactive Power in DC circuits due to the zero phase angle (Φ) between current and voltage. Real power is important to produce heat and utilize the electric and magnetic field generated by Reactive Power.

How to Calculate Reactive Power?

Reactive Power calculator uses Reactive Power = Current*Voltage*sin(Phase Difference) to calculate 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 calculate Reactive Power using this online calculator? To use this online calculator for Reactive Power, enter Current (I), Voltage (V) & Phase Difference (Φ) and hit the calculate button. Here is how the Reactive Power calculation can be explained with given input values -> 136.5 = 2.1*130*sin(0.5235987755982).

FAQ

What is Reactive Power?

Reactive power is the power that flows back from a destination toward the grid in an alternating current scenario and is represented as Q = I*V*sin(Φ) or Reactive Power = Current*Voltage*sin(Phase Difference). 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, Voltage is used to determine the value of the potential difference between terminals where alternating current flows & 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 Reactive Power?

Reactive power is the power that flows back from a destination toward the grid in an alternating current scenario is calculated using Reactive Power = Current*Voltage*sin(Phase Difference). To calculate Reactive Power, you need Current (I), Voltage (V) & Phase Difference (Φ). With our tool, you need to enter the respective value for Current, Voltage & 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 Reactive Power?

In this formula, Reactive Power uses Current, Voltage & Phase Difference. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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