Current using Complex Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Current = sqrt(Complex Power/Impedance)
I = 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
Current - (Measured in Ampere) - Current or AC is an electric current which periodically reverses direction and changes its magnitude continuously with time in contrast to direct current which flows only in one direction.
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
I = sqrt(S/Z) --> sqrt(270.5/61.5)
Evaluating ... ...
I = 2.09723007410723
STEP 3: Convert Result to Output's Unit
2.09723007410723 Ampere --> No Conversion Required
FINAL ANSWER
2.09723007410723 2.09723 Ampere <-- Current
(Calculation completed in 00.007 seconds)

Credits

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Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has created this Calculator and 1500+ more calculators!
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Verified by Team Softusvista
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6 Current Calculators

RMS Current using Reactive Power
​ Go Root Mean Square Current = Reactive Power/(Root Mean Square Voltage*sin(Phase Difference))
RMS Current using Real Power
​ Go Root Mean Square Current = Real Power/(Root Mean Square Voltage*cos(Phase Difference))
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))
Current using Power Factor
​ Go Current = Real Power/(Power Factor*Voltage)
Current using Complex Power
​ Go Current = 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)

Current using Complex Power Formula

Current = sqrt(Complex Power/Impedance)
I = 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 Current using Complex Power?

Current using Complex Power calculator uses Current = sqrt(Complex Power/Impedance) to calculate the Current, Current using Complex Power is a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space. Current is denoted by I symbol.

How to calculate Current using Complex Power using this online calculator? To use this online calculator for Current using Complex Power, enter Complex Power (S) & Impedance (Z) and hit the calculate button. Here is how the Current using Complex Power calculation can be explained with given input values -> 2.09723 = sqrt(270.5/61.5).

FAQ

What is Current using Complex Power?
Current using Complex Power is a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space and is represented as I = sqrt(S/Z) or Current = 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 Current using Complex Power?
Current using Complex Power is a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space is calculated using Current = sqrt(Complex Power/Impedance). To calculate Current 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 Current?
In this formula, Current uses Complex Power & Impedance. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Current = Real Power/(Power Factor*Voltage)
  • Current = Reactive Power/(Voltage*sin(Phase Difference))
  • Current = Real Power/(Voltage*cos(Phase Difference))
  • Current = Reactive Power/(Voltage*sin(Phase Difference))
  • Current = Real Power/(Voltage*cos(Phase Difference))
  • Current = Real Power/(Power Factor*Voltage)
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