Real Power using RMS Voltage and Current Solution

STEP 0: Pre-Calculation Summary
Formula Used
Real Power = Root Mean Square Current*Root Mean Square Voltage*cos(Phase Difference)
P = Irms*Vrms*cos(Φ)
This formula uses 1 Functions, 4 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Real Power - (Measured in Watt) - The real power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load.
Root Mean Square Current - (Measured in Ampere) - Root Mean Square Current is defined as the root mean square of a given current.
Root Mean Square Voltage - (Measured in Volt) - Root Mean Square Voltage is the square root of the time average of the voltage squared.
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
Root Mean Square Current: 4.7 Ampere --> 4.7 Ampere No Conversion Required
Root Mean Square Voltage: 57.5 Volt --> 57.5 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = Irms*Vrms*cos(Φ) --> 4.7*57.5*cos(0.5235987755982)
Evaluating ... ...
P = 234.043365372745
STEP 3: Convert Result to Output's Unit
234.043365372745 Watt --> No Conversion Required
FINAL ANSWER
234.043365372745 234.0434 Watt <-- Real Power
(Calculation completed in 00.020 seconds)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has created this Calculator and 1500+ more calculators!
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12 Power Calculators

Reactive Power using Line-to-Neutral Current
Go Reactive Power = 3*Line to Neutral Current*Line to Neutral Voltage*sin(Phase Difference)
Reactive Power using RMS Voltage and Current
Go Reactive Power = Root Mean Square Voltage*Root Mean Square Current*sin(Phase Difference)
Real Power using Line-to-Neutral Voltage
Go Real Power = 3*Line to Neutral Current*Line to Neutral Voltage*cos(Phase Difference)
Real Power using RMS Voltage and Current
Go Real Power = Root Mean Square Current*Root Mean Square Voltage*cos(Phase Difference)
Power in Three-Phase AC Circuits using Phase Current
Go Real Power = 3*Phase Voltage*Phase Current*cos(Phase Difference)
Power in Single-Phase AC Circuits using Voltage
Go Real Power = (Voltage^2*cos(Phase Difference))/Resistance
Power in Single-Phase AC Circuits using Current
Go Real Power = Current^2*Resistance*cos(Phase Difference)
Reactive Power
Go Reactive Power = Current*Voltage*sin(Phase Difference)
Power in Single-Phase AC Circuits
Go Real Power = Voltage*Current*cos(Phase Difference)
Real Power in AC Circuit
Go Real Power = Voltage*Current*cos(Phase Difference)
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)

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)

Real Power using RMS Voltage and Current Formula

Real Power = Root Mean Square Current*Root Mean Square Voltage*cos(Phase Difference)
P = Irms*Vrms*cos(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 Real Power using RMS Voltage and Current?

Real Power using RMS Voltage and Current calculator uses Real Power = Root Mean Square Current*Root Mean Square Voltage*cos(Phase Difference) to calculate the Real Power, Real Power using RMS Voltage and Current is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load. Real Power is denoted by P symbol.

How to calculate Real Power using RMS Voltage and Current using this online calculator? To use this online calculator for Real Power using RMS Voltage and Current, enter Root Mean Square Current (Irms), Root Mean Square Voltage (Vrms) & Phase Difference (Φ) and hit the calculate button. Here is how the Real Power using RMS Voltage and Current calculation can be explained with given input values -> 234.0434 = 4.7*57.5*cos(0.5235987755982).

FAQ

What is Real Power using RMS Voltage and Current?
Real Power using RMS Voltage and Current is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load and is represented as P = Irms*Vrms*cos(Φ) or Real Power = Root Mean Square Current*Root Mean Square Voltage*cos(Phase Difference). Root Mean Square Current is defined as the root mean square of a given current, Root Mean Square Voltage is the square root of the time average of the voltage squared & 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 Real Power using RMS Voltage and Current?
Real Power using RMS Voltage and Current is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load is calculated using Real Power = Root Mean Square Current*Root Mean Square Voltage*cos(Phase Difference). To calculate Real Power using RMS Voltage and Current, you need Root Mean Square Current (Irms), Root Mean Square Voltage (Vrms) & Phase Difference (Φ). With our tool, you need to enter the respective value for Root Mean Square Current, Root Mean Square Voltage & 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 Real Power?
In this formula, Real Power uses Root Mean Square Current, Root Mean Square Voltage & Phase Difference. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • Real Power = Voltage*Current*cos(Phase Difference)
  • Real Power = Current^2*Resistance*cos(Phase Difference)
  • Real Power = (Voltage^2*cos(Phase Difference))/Resistance
  • Real Power = 3*Phase Voltage*Phase Current*cos(Phase Difference)
  • Real Power = Voltage*Current*cos(Phase Difference)
  • Real Power = 3*Line to Neutral Current*Line to Neutral Voltage*cos(Phase Difference)
  • Real Power = Voltage*Current*cos(Phase Difference)
  • Real Power = Current^2*Resistance*cos(Phase Difference)
  • Real Power = Voltage*Current*cos(Phase Difference)
  • Real Power = 3*Line to Neutral Current*Line to Neutral Voltage*cos(Phase Difference)
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