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AC Power Formula

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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. Check FAQs

P ac = V t \cdot I rms \cdot \cos (Φ)

P_ac - Instantaneous AC Power?V_t - Total Voltage?I_rms - Current RMS Value?Φ - Phase Angle?

AC Power Example

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Here is how the AC Power equation looks like with Values.

Here is how the AC Power equation looks like with Units.

Here is how the AC Power equation looks like.

40.4976 = 10 \cdot 8 \cdot \cos (1.04)

40.4976W = 10V \cdot 8A \cdot \cos (1.04rad)

40.4976 = 10 \cdot 8 \cdot \cos (1.04)

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AC Power Solution

Follow our step by step solution on how to calculate AC Power?

FIRST Step Consider the formula

P ac = V t \cdot I rms \cdot \cos (Φ)

Next Step Substitute values of Variables

∴

P ac = 10V \cdot 8A \cdot \cos (1.04rad)

Next Step Prepare to Evaluate

∴

P ac = 10 \cdot 8 \cdot \cos (1.04)

Next Step Evaluate

∴

P ac = 40.4976205786223W

LAST Step Rounding Answer

∴

P ac = 40.4976W

AC Power Formula Elements

Variables

Functions

Instantaneous AC Power

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.

Symbol: P_ac

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Instantaneous AC Power

Total Voltage

Total Voltage refers to the combined electrical voltage across all phases of a multi-phase electrical system.

Symbol: V_t

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Total Voltage

Current RMS Value

Current RMS Value is a measure of the effective or average value of an alternating current waveform. It represents the equivalent steady DC current.

Symbol: I_rms

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Current RMS Value

Phase Angle

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.

Symbol: Φ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Phase Angle

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Wattmeter Circuit category

Go Power using Two Wattmeter Method

P t = \sqrt{3} \cdot V ph \cdot I 1 \cdot \cos (Φ)

Go Total Power using phi Angle

P t = 3 \cdot V ph \cdot I ph \cdot \cos (Φ)

Go DC Power (in Voltage Terms)

P t = V t \cdot I - (\frac{{V t}^{2}}{R vm})

Go DC Power (in Current Terms)

P t = V t \cdot I - I^{2} \cdot R a

How to Evaluate AC Power?

AC Power evaluator uses Instantaneous AC Power = Total Voltage*Current RMS Value*cos(Phase Angle) to evaluate 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 evaluate AC Power using this online evaluator? To use this online evaluator for AC Power, enter Total Voltage (V_t), Current RMS Value (I_rms) & Phase Angle (Φ) and hit the calculate button.

FAQs on AC Power

What is the formula to find AC Power?

The formula of AC Power is expressed as Instantaneous AC Power = Total Voltage*Current RMS Value*cos(Phase Angle). Here is an example- 404.9762 = 10*8*cos(1.04).

How to calculate AC Power?

With Total Voltage (V_t), Current RMS Value (I_rms) & Phase Angle (Φ) we can find AC Power using the formula - Instantaneous AC Power = Total Voltage*Current RMS Value*cos(Phase Angle). This formula also uses Cosine function(s).

Can the AC Power be negative?

No, the AC Power, measured in Power cannot be negative.

Which unit is used to measure AC Power?

AC Power is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which AC Power can be measured.

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AC Power Formula

AC Power Example

AC Power Solution

AC Power Formula Elements

Other formulas in Wattmeter Circuit category

How to Evaluate AC Power?

FAQs on AC Power

Variable Name