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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=Vrms⋅Irms⋅sin(Φ)
Q - Reactive Power?Vrms - Root Mean Square Voltage?Irms - Root Mean Square Current?Φ - Phase Difference?

Reactive Power using RMS Voltage and Current Example

With values
With units
Only example

Here is how the Reactive Power using RMS Voltage and Current equation looks like with Values.

Here is how the Reactive Power using RMS Voltage and Current equation looks like with Units.

Here is how the Reactive Power using RMS Voltage and Current equation looks like.

135.125Edit=57.5Edit⋅4.7Edit⋅sin(30Edit)
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Reactive Power using RMS Voltage and Current Solution

Follow our step by step solution on how to calculate Reactive Power using RMS Voltage and Current?

FIRST Step Consider the formula
Q=Vrms⋅Irms⋅sin(Φ)
Next Step Substitute values of Variables
∴ Q=57.5V⋅4.7A⋅sin(30°)
Next Step Convert Units
∴ Q=57.5V⋅4.7A⋅sin(0.5236rad)
Next Step Prepare to Evaluate
∴ Q=57.5⋅4.7⋅sin(0.5236)
Next Step Evaluate
∴Q=135.125W
LAST Step Convert to Output's Unit
∴Q=135.125VAR

Reactive Power using RMS Voltage and Current 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 PowerOpen Variable
Root Mean Square Voltage
Root Mean Square Voltage is the square root of the time average of the voltage squared.
Symbol: Vrms
Measurement: Electric PotentialUnit: V
Note: Value should be greater than 0.
Formulas to find Root Mean Square VoltageOpen Variable
Root Mean Square Current
Root Mean Square Current is defined as the root mean square of a given current.
Symbol: Irms
Measurement: Electric CurrentUnit: A
Note: Value should be greater than 0.
Formulas to find Root Mean Square CurrentOpen Variable
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 DifferenceOpen Variable
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
Q=I⋅V⋅sin(Φ)
​Go Reactive Power using Line-to-Neutral Current
Q=3⋅Iln⋅Vln⋅sin(Φ)

Other formulas in AC Power category

​Go Capacitance for Parallel RLC Circuit using Q Factor
C=L⋅Q||2R2
​Go Capacitance for Series RLC Circuit given Q Factor
C=LQse2⋅R2
​Go Capacitance given Cut off Frequency
C=12⋅R⋅π⋅fc
​Go Capacitance using Time Constant
C=τR

How to Evaluate Reactive Power using RMS Voltage and Current?

Reactive Power using RMS Voltage and Current evaluator uses Reactive Power = Root Mean Square Voltage*Root Mean Square Current*sin(Phase Difference) to evaluate the Reactive Power, Reactive Power using RMS Voltage and Current 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 RMS Voltage and Current using this online evaluator? To use this online evaluator for Reactive Power using RMS Voltage and Current, enter Root Mean Square Voltage (Vrms), Root Mean Square Current (Irms) & Phase Difference (Φ) and hit the calculate button.

FAQs on Reactive Power using RMS Voltage and Current

What is the formula to find Reactive Power using RMS Voltage and Current?
The formula of Reactive Power using RMS Voltage and Current is expressed as Reactive Power = Root Mean Square Voltage*Root Mean Square Current*sin(Phase Difference). Here is an example- 135.125 = 57.5*4.7*sin(0.5235987755982).
How to calculate Reactive Power using RMS Voltage and Current?
With Root Mean Square Voltage (Vrms), Root Mean Square Current (Irms) & Phase Difference (Φ) we can find Reactive Power using RMS Voltage and Current using the formula - Reactive Power = Root Mean Square Voltage*Root Mean Square Current*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=Current*Voltage*sin(Phase Difference)OpenImg
  • Reactive Power=3*Line to Neutral Current*Line to Neutral Voltage*sin(Phase Difference)OpenImg
Can the Reactive Power using RMS Voltage and Current be negative?
Yes, the Reactive Power using RMS Voltage and Current, measured in Power can be negative.
Which unit is used to measure Reactive Power using RMS Voltage and Current?
Reactive Power using RMS Voltage and Current 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 using RMS Voltage and Current can be measured.
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