AC Power Calculator

✖Total Voltage refers to the combined electrical voltage across all phases of a multi-phase electrical system.ⓘ Total Voltage [V_t]			+10% -10%
✖Current RMS Value is a measure of the effective or average value of an alternating current waveform. It represents the equivalent steady DC current.ⓘ Current RMS Value [I_rms]			+10% -10%
✖Phase Angle is the measure of the difference in phase between two periodic signals. It indicates how much one signal is leading or lagging behind another.ⓘ Phase Angle [Φ]			+10% -10%

✖Instantaneous AC Power is the power delivered or consumed by an electrical device at any given moment in an alternating current (AC) system, calculated as the product of voltage and current.ⓘ AC Power [P_ac]

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AC Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Instantaneous AC Power = Total Voltage*Current RMS Value*cos(Phase Angle)
P_ac = V_t*I_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

Instantaneous AC Power - (Measured in Watt) - Instantaneous AC Power is the power delivered or consumed by an electrical device at any given moment in an alternating current (AC) system, calculated as the product of voltage and current.
Total Voltage - (Measured in Volt) - Total Voltage refers to the combined electrical voltage across all phases of a multi-phase electrical system.
Current RMS Value - (Measured in Ampere) - Current RMS Value is a measure of the effective or average value of an alternating current waveform. It represents the equivalent steady DC current.
Phase Angle - (Measured in Radian) - Phase Angle is the measure of the difference in phase between two periodic signals. It indicates how much one signal is leading or lagging behind another.

STEP 1: Convert Input(s) to Base Unit

Total Voltage: 10 Volt --> 10 Volt No Conversion Required
Current RMS Value: 8 Ampere --> 8 Ampere No Conversion Required
Phase Angle: 1.04 Radian --> 1.04 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_ac = V_t*I_rms*cos(Φ) --> 10*8*cos(1.04)

Evaluating ... ...

P_ac = 40.4976205786223

STEP 3: Convert Result to Output's Unit

40.4976205786223 Watt --> No Conversion Required

FINAL ANSWER

40.4976205786223 ≈ 40.49762 Watt <-- Instantaneous AC Power

(Calculation completed in 00.020 seconds)

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Credits

Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

Nikita Suryawanshi has created this Calculator and 100+ more calculators!

Verified by Devyaani Garg

Shiv Nadar University (SNU), Greater Noida

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< Wattmeter Circuit Calculators

Power using Two Wattmeter Method

LaTeX Go Total Power = sqrt(3)*Total Phase Voltage*One Phase Current*cos(Phase Angle)

DC Power (in Voltage Terms)

LaTeX Go Total Power = Total Voltage*Total Current-(Total Voltage^2/Voltmeter Resistance)

DC Power (in Current Terms)

LaTeX Go Total Power = Total Voltage*Total Current-Total Current^2*Ammeter Resistance

Total Power using phi Angle

LaTeX Go Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle)

AC Power Formula

LaTeX Go

Instantaneous AC Power = Total Voltage*Current RMS Value*cos(Phase Angle)
P_ac = V_t*I_rms*cos(Φ)

What is the power in an AC circuit?

The power consumed by the load in an AC circuit is proportional to the product of the instantaneous voltage, instantaneous current and the power factor. The instantaneous power varies continuously. The transfer of energy over a time period is proportional to the average power consumed by the load. The voltage and current values used are the arms vaues.

How to Calculate AC Power?

AC Power calculator uses Instantaneous AC Power = Total Voltage*Current RMS Value*cos(Phase Angle) to calculate the Instantaneous AC Power, The AC Power formula is used to calculate the total power consumed by the load in an AC circuit, where current lags voltage by a phase of ϕ. Instantaneous AC Power is denoted by P_ac symbol.

How to calculate AC Power using this online calculator? To use this online calculator for AC Power, enter Total Voltage (V_t), Current RMS Value (I_rms) & Phase Angle (Φ) and hit the calculate button. Here is how the AC Power calculation can be explained with given input values -> 404.9762 = 10*8*cos(1.04).

FAQ

What is AC Power?

The AC Power formula is used to calculate the total power consumed by the load in an AC circuit, where current lags voltage by a phase of ϕ and is represented as P_ac = V_t*I_rms*cos(Φ) or Instantaneous AC Power = Total Voltage*Current RMS Value*cos(Phase Angle). Total Voltage refers to the combined electrical voltage across all phases of a multi-phase electrical system, Current RMS Value is a measure of the effective or average value of an alternating current waveform. It represents the equivalent steady DC current & Phase Angle is the measure of the difference in phase between two periodic signals. It indicates how much one signal is leading or lagging behind another.

How to calculate AC Power?

The AC Power formula is used to calculate the total power consumed by the load in an AC circuit, where current lags voltage by a phase of ϕ is calculated using Instantaneous AC Power = Total Voltage*Current RMS Value*cos(Phase Angle). To calculate AC Power, you need Total Voltage (V_t), Current RMS Value (I_rms) & Phase Angle (Φ). With our tool, you need to enter the respective value for Total Voltage, Current RMS Value & Phase Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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