Reactive Power using RMS Voltage and Current Calculator

✖Root Mean Square Voltage is the square root of the time average of the voltage squared.ⓘ Root Mean Square Voltage [V_rms]			+10% -10%
✖Root Mean Square Current is defined as the root mean square of a given current.ⓘ Root Mean Square Current [I_rms]			+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 using RMS Voltage and Current [Q]

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Reactive Power using RMS Voltage and Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reactive Power = Root Mean Square Voltage*Root Mean Square Current*sin(Phase Difference)
Q = V_rms*I_rms*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.
Root Mean Square Voltage - (Measured in Volt) - Root Mean Square Voltage is the square root of the time average of the voltage squared.
Root Mean Square Current - (Measured in Ampere) - Root Mean Square Current is defined as the root mean square of a given current.
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

Root Mean Square Voltage: 57.5 Volt --> 57.5 Volt No Conversion Required
Root Mean Square Current: 4.7 Ampere --> 4.7 Ampere No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = V_rms*I_rms*sin(Φ) --> 57.5*4.7*sin(0.5235987755982)

Evaluating ... ...

Q = 135.125

STEP 3: Convert Result to Output's Unit

135.125 Watt -->135.125 Volt Ampere Reactive (Check conversion here)

FINAL ANSWER

135.125 Volt Ampere Reactive <-- Reactive Power

(Calculation completed in 00.004 seconds)

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< AC Power Calculators

Power in Single-Phase AC Circuits using Voltage

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

Power in Single-Phase AC Circuits using Current

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

Power in Single-Phase AC Circuits

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

Complex Power

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

< AC Circuit Design Calculators

Capacitance for Parallel RLC Circuit using Q Factor

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

Capacitance for Series RLC Circuit given Q Factor

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

Capacitance given Cut off Frequency

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

Capacitance using Time Constant

LaTeX Go Capacitance = Time Constant/Resistance

Reactive Power using RMS Voltage and Current Formula

LaTeX Go

Reactive Power = Root Mean Square Voltage*Root Mean Square Current*sin(Phase Difference)
Q = V_rms*I_rms*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 using RMS Voltage and Current?

Reactive Power using RMS Voltage and Current calculator uses Reactive Power = Root Mean Square Voltage*Root Mean Square Current*sin(Phase Difference) to calculate 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 calculate Reactive Power using RMS Voltage and Current using this online calculator? To use this online calculator for Reactive Power using RMS Voltage and Current, enter Root Mean Square Voltage (V_rms), Root Mean Square Current (I_rms) & Phase Difference (Φ) and hit the calculate button. Here is how the Reactive Power using RMS Voltage and Current calculation can be explained with given input values -> 135.125 = 57.5*4.7*sin(0.5235987755982).

FAQ

What is Reactive Power using RMS Voltage and Current?

Reactive Power using RMS Voltage and Current is the power that flows back from a destination toward the grid in an alternating current scenario and is represented as Q = V_rms*I_rms*sin(Φ) or Reactive Power = Root Mean Square Voltage*Root Mean Square Current*sin(Phase Difference). Root Mean Square Voltage is the square root of the time average of the voltage squared, Root Mean Square Current is defined as the root mean square of a given current & 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 using RMS Voltage and Current?

Reactive Power using RMS Voltage and Current is the power that flows back from a destination toward the grid in an alternating current scenario is calculated using Reactive Power = Root Mean Square Voltage*Root Mean Square Current*sin(Phase Difference). To calculate Reactive Power using RMS Voltage and Current, you need Root Mean Square Voltage (V_rms), Root Mean Square Current (I_rms) & Phase Difference (Φ). With our tool, you need to enter the respective value for Root Mean Square Voltage, Root Mean Square Current & 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 Root Mean Square Voltage, Root Mean Square Current & Phase Difference. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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