Voltage using Complex Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Voltage = sqrt(Complex Power*Impedance)
V = sqrt(S*Z)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Voltage - (Measured in Volt) - Voltage is used to determine the value of the potential difference between terminals where alternating current flows.
Complex Power - (Measured in Watt) - Complex Power is basically the representation of electrical power in the form of complex numbers.
Impedance - (Measured in Ohm) - Impedance (Z), in electrical devices, refers to the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system.
STEP 1: Convert Input(s) to Base Unit
Complex Power: 270.5 Volt Ampere --> 270.5 Watt (Check conversion ​here)
Impedance: 61.5 Ohm --> 61.5 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = sqrt(S*Z) --> sqrt(270.5*61.5)
Evaluating ... ...
V = 128.979649557595
STEP 3: Convert Result to Output's Unit
128.979649557595 Volt --> No Conversion Required
FINAL ANSWER
128.979649557595 128.9796 Volt <-- Voltage
(Calculation completed in 00.004 seconds)

Credits

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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)

Voltage using Complex Power Formula

Voltage = sqrt(Complex Power*Impedance)
V = sqrt(S*Z)

What is Complex power?

Complex power is the product of the RMS voltage phasor and the complex conjugate of the RMS current phasor. As a complex quantity, its real part is real power P and its imaginary part is reactive power Q.

How to Calculate Voltage using Complex Power?

Voltage using Complex Power calculator uses Voltage = sqrt(Complex Power*Impedance) to calculate the Voltage, Voltage using Complex Power is the difference in electric potential between two points, which (in a static electric field) is defined as the work needed per unit of charge to move a test charge between the two points. Voltage is denoted by V symbol.

How to calculate Voltage using Complex Power using this online calculator? To use this online calculator for Voltage using Complex Power, enter Complex Power (S) & Impedance (Z) and hit the calculate button. Here is how the Voltage using Complex Power calculation can be explained with given input values -> 128.9796 = sqrt(270.5*61.5).

FAQ

What is Voltage using Complex Power?
Voltage using Complex Power is the difference in electric potential between two points, which (in a static electric field) is defined as the work needed per unit of charge to move a test charge between the two points and is represented as V = sqrt(S*Z) or Voltage = sqrt(Complex Power*Impedance). Complex Power is basically the representation of electrical power in the form of complex numbers & Impedance (Z), in electrical devices, refers to the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system.
How to calculate Voltage using Complex Power?
Voltage using Complex Power is the difference in electric potential between two points, which (in a static electric field) is defined as the work needed per unit of charge to move a test charge between the two points is calculated using Voltage = sqrt(Complex Power*Impedance). To calculate Voltage using Complex Power, you need Complex Power (S) & Impedance (Z). With our tool, you need to enter the respective value for Complex Power & Impedance 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 Voltage?
In this formula, Voltage uses Complex Power & Impedance. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Voltage = Reactive Power/(Current*sin(Phase Difference))
  • Voltage = Real Power/(Current*cos(Phase Difference))
  • Voltage = Real Power/(Power Factor*Current)
  • Voltage = Real Power/(Power Factor*Current)
  • Voltage = Reactive Power/(Current*sin(Phase Difference))
  • Voltage = Real Power/(Current*cos(Phase Difference))
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