Real Power using RMS Voltage and Current Calculator

✖Root Mean Square Current is defined as the root mean square of a given current.ⓘ Root Mean Square Current [I_rms]			+10% -10%
✖Root Mean Square Voltage is the square root of the time average of the voltage squared.ⓘ Root Mean Square Voltage [V_rms]			+10% -10%
✖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.ⓘ Phase Difference [Φ]			+10% -10%

✖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.ⓘ Real Power using RMS Voltage and Current [P]

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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 = I_rms*V_rms*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 = I_rms*V_rms*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 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< AC Power Calculators

Power in Single-Phase AC Circuits using Voltage

LaTeX Go Real Power = (Voltage^2*cos(Phase Difference))/Resistance

Power in Single-Phase AC Circuits using Current

LaTeX Go Real Power = Current^2*Resistance*cos(Phase Difference)

Power in Single-Phase AC Circuits

LaTeX Go Real Power = Voltage*Current*cos(Phase Difference)

Complex Power

LaTeX Go Complex Power = sqrt(Real Power^2+Reactive Power^2)

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Capacitance for Parallel RLC Circuit using Q Factor

LaTeX Go Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2

Capacitance for Series RLC Circuit given Q Factor

LaTeX Go Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)

Capacitance given Cut off Frequency

LaTeX Go Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)

Capacitance using Time Constant

LaTeX Go Capacitance = Time Constant/Resistance

Real Power using RMS Voltage and Current Formula

LaTeX Go

Real Power = Root Mean Square Current*Root Mean Square Voltage*cos(Phase Difference)
P = I_rms*V_rms*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 (I_rms), Root Mean Square Voltage (V_rms) & 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 = I_rms*V_rms*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 (I_rms), Root Mean Square Voltage (V_rms) & 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 3 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

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