Real Power in AC Circuit Calculator

✖Voltage is used to determine the value of the potential difference between terminals where alternating current flows.ⓘ Voltage [V]			+10% -10%
✖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.ⓘ Current [I]			+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 in AC Circuit [P]

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Formula

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Real Power in AC Circuit

Formula

P = V \cdot I \cdot \cos (Φ)

Example

236.4249 W = 130 V \cdot 2.1 A \cdot \cos (30 °)

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Real Power in AC Circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Real Power = Voltage*Current*cos(Phase Difference)
P = V*I*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.
Voltage - (Measured in Volt) - Voltage is used to determine the value of the potential difference between terminals where alternating current flows.
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.
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

Voltage: 130 Volt --> 130 Volt No Conversion Required
Current: 2.1 Ampere --> 2.1 Ampere No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = V*I*cos(Φ) --> 130*2.1*cos(0.5235987755982)

Evaluating ... ...

P = 236.424935233152

STEP 3: Convert Result to Output's Unit

236.424935233152 Watt --> No Conversion Required

FINAL ANSWER

236.424935233152 ≈ 236.4249 Watt <-- Real Power

(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< AC Power Calculators

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)

Power in Single-Phase AC Circuits

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

Complex Power

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

< AC Circuit Design Calculators

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)

Capacitance given Cut off Frequency

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

Capacitance using Time Constant

Go Capacitance = Time Constant/Resistance

Real Power in AC Circuit Formula

Real Power = Voltage*Current*cos(Phase Difference)
P = V*I*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 in AC Circuit?

Real Power in AC Circuit calculator uses Real Power = Voltage*Current*cos(Phase Difference) to calculate the Real Power, The Real Power in AC Circuit 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 in AC Circuit using this online calculator? To use this online calculator for Real Power in AC Circuit, enter Voltage (V), Current (I) & Phase Difference (Φ) and hit the calculate button. Here is how the Real Power in AC Circuit calculation can be explained with given input values -> 236.4249 = 130*2.1*cos(0.5235987755982).

FAQ

What is Real Power in AC Circuit?

The Real Power in AC Circuit 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 = V*I*cos(Φ) or Real Power = Voltage*Current*cos(Phase Difference). Voltage is used to determine the value of the potential difference between terminals where alternating current flows, 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 & 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 in AC Circuit?

The Real Power in AC Circuit 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 = Voltage*Current*cos(Phase Difference). To calculate Real Power in AC Circuit, you need Voltage (V), Current (I) & Phase Difference (Φ). With our tool, you need to enter the respective value for Voltage, Current & 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 Voltage, Current & 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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