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Total Power using phi Angle Formula

GoPower using Two Wattmeter Method Formula

GoDC Power (in Voltage Terms) Formula

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Total Power refers to the sum of the electrical power consumed or generated by the load being measured in a wattmeter. Check FAQs

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

P_t - Total Power?V_ph - Total Phase Voltage?I_ph - Total Phase Current?Φ - Phase Angle?

Total Power using phi Angle Example

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Here is how the Total Power using phi Angle equation looks like with Values.

Here is how the Total Power using phi Angle equation looks like with Units.

Here is how the Total Power using phi Angle equation looks like.

2.5514 = 3 \cdot 12 \cdot 0.14 \cdot \cos (1.04)

2.5514W = 3 \cdot 12V \cdot 0.14A \cdot \cos (1.04rad)

2.5514 = 3 \cdot 12 \cdot 0.14 \cdot \cos (1.04)

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Total Power using phi Angle Solution

Follow our step by step solution on how to calculate Total Power using phi Angle?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P t = 3 \cdot 12V \cdot 0.14A \cdot \cos (1.04rad)

Next Step Prepare to Evaluate

∴

P t = 3 \cdot 12 \cdot 0.14 \cdot \cos (1.04)

Next Step Evaluate

∴

P t = 2.5513500964532W

LAST Step Rounding Answer

∴

P t = 2.5514W

Total Power using phi Angle Formula Elements

Variables

Functions

Total Power

Total Power refers to the sum of the electrical power consumed or generated by the load being measured in a wattmeter.

Symbol: P_t

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Total Power

Total Phase Voltage

Total Phase Voltage refers to the algebraic sum of all voltage drops or rises across components in a circuit, considering both magnitude and direction.

Symbol: V_ph

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Total Phase Voltage

Total Phase Current

Total Phase Current refers to the algebraic sum of all currents flowing in a circuit, accounting for both magnitude and direction.

Symbol: I_ph

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Total Phase Current

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 to find Total Power

Go Power using Two Wattmeter Method

P t = \sqrt{3} \cdot V ph \cdot I 1 \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

Go Total Power for Three Phase Wattmeter

P t = (V 1 \cdot I 1) + (V 2 \cdot I 2) + (V 3 \cdot I 3)

Other formulas in Wattmeter Circuit category

Go AC Power

P ac = V t \cdot I rms \cdot \cos (Φ)

Go Wattmeter Reading

W r = \frac{V wp \cdot P i}{V}

Go Resistance of coil S1

R c = \frac{S 2 - (I p \cdot R p)}{I p}

Go Resistance of Watt-meter pressure Coil

R p = \frac{S 2 - (I p \cdot R c)}{I p}

How to Evaluate Total Power using phi Angle?

Total Power using phi Angle evaluator uses Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle) to evaluate the Total Power, The Total Power using phi Angle formula is used to calculate the total instantaneous power consumed in a two-phase wattmeter setup. Total Power is denoted by P_t symbol.

How to evaluate Total Power using phi Angle using this online evaluator? To use this online evaluator for Total Power using phi Angle, enter Total Phase Voltage (V_ph), Total Phase Current (I_ph) & Phase Angle (Φ) and hit the calculate button.

FAQs on Total Power using phi Angle

What is the formula to find Total Power using phi Angle?

The formula of Total Power using phi Angle is expressed as Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle). Here is an example- 50.11581 = 3*12*0.14*cos(1.04).

How to calculate Total Power using phi Angle?

With Total Phase Voltage (V_ph), Total Phase Current (I_ph) & Phase Angle (Φ) we can find Total Power using phi Angle using the formula - Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle). This formula also uses Cosine function(s).

What are the other ways to Calculate Total Power?

Here are the different ways to Calculate Total Power-

Total Power=sqrt(3)*Total Phase Voltage*One Phase Current*cos(Phase Angle)
Total Power=Total Voltage*Total Current-(Total Voltage^2/Voltmeter Resistance)
Total Power=Total Voltage*Total Current-Total Current^2*Ammeter Resistance

Can the Total Power using phi Angle be negative?

No, the Total Power using phi Angle, measured in Power cannot be negative.

Which unit is used to measure Total Power using phi Angle?

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

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Total Power using phi Angle Formula

​GoPower using Two Wattmeter Method Formula

​GoDC Power (in Voltage Terms) Formula

Total Power using phi Angle Example

Total Power using phi Angle Solution

Total Power using phi Angle Formula Elements

Other Formulas to find Total Power

Other formulas in Wattmeter Circuit category

How to Evaluate Total Power using phi Angle?

FAQs on Total Power using phi Angle

Variable Name

GoPower using Two Wattmeter Method Formula

GoDC Power (in Voltage Terms) Formula