Impedance given Complex Power and Voltage Calculator

✖Voltage is used to determine the value of the potential difference between terminals where alternating current flows.ⓘ Voltage [V]			+10% -10%
✖Complex Power is basically the representation of electrical power in the form of complex numbers.ⓘ Complex Power [S]			+10% -10%

✖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.ⓘ Impedance given Complex Power and Voltage [Z]

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Formula

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Impedance given Complex Power and Voltage

Formula

`"Z" = ("V"^2)/"S"`

Example

`"62.47689Ω"=(("130V")^2)/"270.5VA"`

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Impedance given Complex Power and Voltage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Impedance = (Voltage^2)/Complex Power
Z = (V^2)/S
This formula uses 3 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Voltage: 130 Volt --> 130 Volt No Conversion Required
Complex Power: 270.5 Volt Ampere --> 270.5 Watt (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z = (V^2)/S --> (130^2)/270.5

Evaluating ... ...

Z = 62.4768946395564

STEP 3: Convert Result to Output's Unit

62.4768946395564 Ohm --> No Conversion Required

FINAL ANSWER

62.4768946395564 ≈ 62.47689 Ohm <-- Impedance

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 7 Impedance Calculators

Resistance for Series RLC Circuit given Q Factor

Go Resistance = sqrt(Inductance)/(Series RLC Quality Factor*sqrt(Capacitance))

Resistance for Parallel RLC Circuit using Q Factor

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

Resistance using Time Constant

Go Resistance = Time Constant/Capacitance

Impedance given Complex Power and Current

Go Impedance = Complex Power/(Current^2)

Impedance given Complex Power and Voltage

Go Impedance = (Voltage^2)/Complex Power

Resistance using Power Factor

Go Resistance = Impedance*Power Factor

Impedance using Power Factor

Go Impedance = Resistance/Power Factor

< 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)

Impedance given Complex Power and Voltage Formula

Impedance = (Voltage^2)/Complex Power
Z = (V^2)/S

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 Impedance given Complex Power and Voltage?

Impedance given Complex Power and Voltage calculator uses Impedance = (Voltage^2)/Complex Power to calculate the Impedance, Impedance given Complex Power and Voltage refers to the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system. Impedance is denoted by Z symbol.

How to calculate Impedance given Complex Power and Voltage using this online calculator? To use this online calculator for Impedance given Complex Power and Voltage, enter Voltage (V) & Complex Power (S) and hit the calculate button. Here is how the Impedance given Complex Power and Voltage calculation can be explained with given input values -> 62.47689 = (130^2)/270.5.

FAQ

What is Impedance given Complex Power and Voltage?

Impedance given Complex Power and Voltage refers to the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system and is represented as Z = (V^2)/S or Impedance = (Voltage^2)/Complex Power. Voltage is used to determine the value of the potential difference between terminals where alternating current flows & Complex Power is basically the representation of electrical power in the form of complex numbers.

How to calculate Impedance given Complex Power and Voltage?

Impedance given Complex Power and Voltage refers to the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system is calculated using Impedance = (Voltage^2)/Complex Power. To calculate Impedance given Complex Power and Voltage, you need Voltage (V) & Complex Power (S). With our tool, you need to enter the respective value for Voltage & Complex Power 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 Impedance?

In this formula, Impedance uses Voltage & Complex Power. We can use 3 other way(s) to calculate the same, which is/are as follows -

Impedance = Resistance/Power Factor
Impedance = Complex Power/(Current^2)
Impedance = Complex Power/(Current^2)

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