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))
Vrms = Q/(Irms*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
Vrms = Q/(Irms*sin(Φ)) --> 134/(4.7*sin(0.5235987755982))
Evaluating ... ...
Vrms = 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)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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8 Voltage Calculators

Line to Neutral Voltage using Reactive Power
Go Line to Neutral Voltage = Reactive Power/(3*sin(Phase Difference)*Line to Neutral Current)
RMS Voltage using Reactive Power
Go Root Mean Square Voltage = Reactive Power/(Root Mean Square Current*sin(Phase Difference))
Line to Neutral Voltage using Real Power
Go Line to Neutral Voltage = Real Power/(3*cos(Phase Difference)*Line to Neutral Current)
RMS Voltage using Real Power
Go Root Mean Square Voltage = Real Power/(Root Mean Square Current*cos(Phase Difference))
Voltage using Reactive Power
Go Voltage = Reactive Power/(Current*sin(Phase Difference))
Voltage using Real Power
Go Voltage = Real Power/(Current*cos(Phase Difference))
Voltage using Power Factor
Go Voltage = Real Power/(Power Factor*Current)
Voltage using Complex Power
Go Voltage = sqrt(Complex Power*Impedance)

25 AC Circuit Design Calculators

Resistance for Series RLC Circuit given Q Factor
Go Resistance = sqrt(Inductance)/(Series RLC Quality Factor*sqrt(Capacitance))
Line to Neutral Current using Reactive Power
Go Line to Neutral Current = Reactive Power/(3*Line to Neutral Voltage*sin(Phase Difference))
RMS Current using Reactive Power
Go Root Mean Square Current = Reactive Power/(Root Mean Square Voltage*sin(Phase Difference))
Line to Neutral Current using Real Power
Go Line to Neutral Current = Real Power/(3*cos(Phase Difference)*Line to Neutral Voltage)
RMS Current using Real Power
Go Root Mean Square Current = Real Power/(Root Mean Square Voltage*cos(Phase Difference))
Resistance for Parallel RLC Circuit using Q Factor
Go Resistance = Parallel RLC Quality Factor/(sqrt(Capacitance/Inductance))
Resonant Frequency for RLC circuit
Go Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))
Electric Current using Reactive Power
Go Current = Reactive Power/(Voltage*sin(Phase Difference))
Electric Current using Real Power
Go Current = Real Power/(Voltage*cos(Phase Difference))
Power in Single-Phase AC Circuits
Go Real Power = Voltage*Current*cos(Phase Difference)
Inductance for Parallel RLC Circuit using Q Factor
Go Inductance = (Capacitance*Resistance^2)/(Parallel RLC Quality Factor^2)
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)
Inductance for Series RLC Circuit given Q Factor
Go Inductance = Capacitance*Series RLC Quality Factor^2*Resistance^2
Capacitance given Cut off Frequency
Go Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)
Cut Off Frequency for RC circuit
Go Cut-off Frequency = 1/(2*pi*Capacitance*Resistance)
Complex Power
Go Complex Power = sqrt(Real Power^2+Reactive Power^2)
Complex Power given Power Factor
Go Complex Power = Real Power/cos(Phase Difference)
Current using Power Factor
Go Current = Real Power/(Power Factor*Voltage)
Current using Complex Power
Go Current = sqrt(Complex Power/Impedance)
Frequency using Time Period
Go Natural Frequency = 1/(2*pi*Time Period)
Capacitance using Time Constant
Go Capacitance = Time Constant/Resistance
Resistance using Time Constant
Go Resistance = Time Constant/Capacitance
Impedance given Complex Power and Voltage
Go Impedance = (Voltage^2)/Complex Power
Impedance given Complex Power and Current
Go Impedance = Complex Power/(Current^2)

RMS Voltage using Reactive Power Formula

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