AC Power Calculator

✖Total Voltage is the amount of total potential difference across the network. In this case, it is usually the voltage difference across the voltmeter.ⓘ Total Voltage [V_t]			+10% -10%
✖Current RMS Value (Root Mean Square) represents the effective value of an alternating current, equivalent to its DC counterpart.ⓘ Current RMS Value [I_rms]			+10% -10%
✖Phase angle refers to the angular displacement between two waveforms, typically sinusoidal, measured in degrees or radians, indicating the shift in time or phase between them.ⓘ 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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Formula

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AC Power

Formula

`"P"_{"ac"} = "V"_{"t"}*"I"_{"rms"}*cos("Φ")`

Example

`"40.49762W"="10V"*"8A"*cos("1.04rad")`

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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 is the amount of total potential difference across the network. In this case, it is usually the voltage difference across the voltmeter.
Current RMS Value - (Measured in Ampere) - Current RMS Value (Root Mean Square) represents the effective value of an alternating current, equivalent to its DC counterpart.
Phase Angle - (Measured in Radian) - Phase angle refers to the angular displacement between two waveforms, typically sinusoidal, measured in degrees or radians, indicating the shift in time or phase between them.

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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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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Shiv Nadar University (SNU), Greater Noida

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< 13 Wattmeter Circuit Calculators

Total Power for Three Phase Wattmeter

Go Total Power = (Voltage through Phase 1*Current in Phase 1)+(Voltage through Phase 2*Current in Phase 2)+(Voltage through Phase 3*Current in Phase 3)

Resistance of Watt-meter pressure Coil

Go Resistance of Wattmeter Pressure Coil = (Voltage Induced in Secondary Winding 2-(Current in Pressure Coil Circuit*Resistance of Coil in Secondary Winding))/Current in Pressure Coil Circuit

Resistance of coil S1

Go Resistance of Coil in Secondary Winding = (Voltage Induced in Secondary Winding 2-(Current in Pressure Coil Circuit*Resistance of Wattmeter Pressure Coil))/Current in Pressure Coil Circuit

Power using Two Wattmeter Method

Go Total Power = sqrt(3)*Total Phase Voltage*Current in Phase 1*cos((30*(pi/180))-Phase Angle)

Total copper loss in secondary winding circuit

Go Total Copper Loss in Secondary Winding = ((Voltage Induced in Secondary Winding 2^2)/Resistance of Coil in Secondary Winding)+Resistance of Wattmeter Pressure Coil

Current in pressure coil circuit

Go Current in Pressure Coil Circuit = Voltage Induced in Secondary Winding 2/(Resistance of Wattmeter Pressure Coil+Resistance of Coil in Secondary Winding)

Voltage Induced in S2

Go Voltage Induced in Secondary Winding 2 = Current in Pressure Coil Circuit*(Resistance of Wattmeter Pressure Coil+Resistance of Coil in Secondary Winding)

DC Power (in Voltage Terms)

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

DC Power (in Current Terms)

Go Total Power = (Total Voltage*Total Current)-(((Total Current)^2)*Resistance of Ammeter)

AC Power

Go Instantaneous AC Power = Total Voltage*Current RMS Value*cos(Phase Angle)

Total Power using phi Angle

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

Wattmeter Reading

Go Wattmeter Reading = (Voltage at Wattmeter Pressure Coil*Total Iron Loss)/(Potential Difference)

Voltage applied to wattmeter pressure coil

Go Voltage at Wattmeter Pressure Coil = (Wattmeter Reading*Potential Difference)/Total Iron Loss

AC Power Formula

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 -> 40.49762 = 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 is the amount of total potential difference across the network. In this case, it is usually the voltage difference across the voltmeter, Current RMS Value (Root Mean Square) represents the effective value of an alternating current, equivalent to its DC counterpart & Phase angle refers to the angular displacement between two waveforms, typically sinusoidal, measured in degrees or radians, indicating the shift in time or phase between them.

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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