Power in Single-Phase AC Circuits 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.ⓘ Power in Single-Phase AC Circuits [P]

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Power in Single-Phase AC Circuits 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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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)

< AC Circuit Design Calculators

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

Power in Single-Phase AC Circuits Formula

LaTeX Go

Real Power = Voltage*Current*cos(Phase Difference)
P = V*I*cos(Φ)

What is the difference between single phase and three phase power supply?

In a single-phase supply, the power flows through one conductor whereas the three-phase supply consists of three conductors for power supply. The single-phase supply requires two wires (one phase and one neutral) for completing the circuit. The three-phase requires three-phase wires and one neutral wire for completing the circuit.

How to Calculate Power in Single-Phase AC Circuits?

Power in Single-Phase AC Circuits calculator uses Real Power = Voltage*Current*cos(Phase Difference) to calculate the Real Power, Power in Single-Phase AC Circuits is the distribution of alternating current electric power using a system in which all the voltages of the supply vary in unison. Real Power is denoted by P symbol.

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

FAQ

What is Power in Single-Phase AC Circuits?

Power in Single-Phase AC Circuits is the distribution of alternating current electric power using a system in which all the voltages of the supply vary in unison 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 Power in Single-Phase AC Circuits?

Power in Single-Phase AC Circuits is the distribution of alternating current electric power using a system in which all the voltages of the supply vary in unison is calculated using Real Power = Voltage*Current*cos(Phase Difference). To calculate Power in Single-Phase AC Circuits, 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 = Current^2*Resistance*cos(Phase Difference)
Real Power = (Voltage^2*cos(Phase Difference))/Resistance
Real Power = 3*Phase Voltage*Phase Current*cos(Phase Difference)

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