RMS Voltage using Reactive Power Calculator

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

✖Root Mean Square Voltage is the square root of the time average of the voltage squared.ⓘ RMS Voltage using Reactive Power [V_rms]

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RMS Voltage using Reactive Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Root Mean Square Voltage = Reactive Power/(Root Mean Square Current*sin(Phase Difference))
V_rms = Q/(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

Root Mean Square Voltage - (Measured in Volt) - Root Mean Square Voltage is the square root of the time average of the voltage squared.
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 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

Reactive Power: 134 Volt Ampere Reactive --> 134 Watt (Check conversion here)
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

V_rms = Q/(I_rms*sin(Φ)) --> 134/(4.7*sin(0.5235987755982))

Evaluating ... ...

V_rms = 57.0212765957447

STEP 3: Convert Result to Output's Unit

57.0212765957447 Volt --> No Conversion Required

FINAL ANSWER

57.0212765957447 ≈ 57.02128 Volt <-- Root Mean Square Voltage

(Calculation completed in 00.004 seconds)

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< Voltage Calculators

RMS Voltage using Reactive Power

LaTeX Go Root Mean Square Voltage = Reactive Power/(Root Mean Square Current*sin(Phase Difference))

RMS Voltage using Real Power

LaTeX Go Root Mean Square Voltage = Real Power/(Root Mean Square Current*cos(Phase Difference))

Voltage using Reactive Power

LaTeX Go Voltage = Reactive Power/(Current*sin(Phase Difference))

Voltage using Real Power

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

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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

< RLC Circuit Calculators

Resistance for Parallel RLC Circuit using Q Factor

LaTeX Go Resistance = Parallel RLC Quality Factor/(sqrt(Capacitance/Inductance))

Resonant Frequency for RLC circuit

LaTeX Go Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))

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)

RMS Voltage using Reactive Power Formula

LaTeX Go

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

RMS Voltage using Reactive Power calculator uses Root Mean Square Voltage = Reactive Power/(Root Mean Square Current*sin(Phase Difference)) to calculate the Root Mean Square Voltage, RMS Voltage using Reactive Power is the square root of the time average of the voltage squared. Root Mean Square Voltage is denoted by V_rms symbol.

How to calculate RMS Voltage using Reactive Power using this online calculator? To use this online calculator for RMS Voltage using Reactive Power, enter Reactive Power (Q), Root Mean Square Current (I_rms) & Phase Difference (Φ) and hit the calculate button. Here is how the RMS Voltage using Reactive Power calculation can be explained with given input values -> 57.02128 = 134/(4.7*sin(0.5235987755982)).

FAQ

What is RMS Voltage using Reactive Power?

RMS Voltage using Reactive Power is the square root of the time average of the voltage squared and is represented as V_rms = Q/(I_rms*sin(Φ)) or Root Mean Square Voltage = Reactive Power/(Root Mean Square Current*sin(Phase Difference)). Reactive Power is a measure of the energy exchange between the source and the reactive part of the load, 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 RMS Voltage using Reactive Power?

RMS Voltage using Reactive Power is the square root of the time average of the voltage squared is calculated using Root Mean Square Voltage = Reactive Power/(Root Mean Square Current*sin(Phase Difference)). To calculate RMS Voltage using Reactive Power, you need Reactive Power (Q), Root Mean Square Current (I_rms) & Phase Difference (Φ). With our tool, you need to enter the respective value for Reactive Power, 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 Root Mean Square Voltage?

In this formula, Root Mean Square Voltage uses Reactive Power, Root Mean Square Current & Phase Difference. We can use 2 other way(s) to calculate the same, which is/are as follows -

Root Mean Square Voltage = Real Power/(Root Mean Square Current*cos(Phase Difference))
Root Mean Square Voltage = Real Power/(Root Mean Square Current*cos(Phase Difference))

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