Total Power using phi Angle Calculator

✖Total Phase Voltage refers to the algebraic sum of all voltage drops or rises across components in a circuit, considering both magnitude and direction.ⓘ Total Phase Voltage [V_ph]			+10% -10%
✖Total Phase Current refers to the algebraic sum of all currents flowing in a circuit, accounting for both magnitude and direction.ⓘ Total Phase Current [I_ph]			+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%

✖Total Power refers to the sum of the electrical power consumed or generated by the load being measured in a wattmeter.ⓘ Total Power using phi Angle [P_t]

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Total Power using phi Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle)
P_t = 3*V_ph*I_ph*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

Total Power - (Measured in Watt) - Total Power refers to the sum of the electrical power consumed or generated by the load being measured in a wattmeter.
Total Phase Voltage - (Measured in Volt) - Total Phase Voltage refers to the algebraic sum of all voltage drops or rises across components in a circuit, considering both magnitude and direction.
Total Phase Current - (Measured in Ampere) - Total Phase Current refers to the algebraic sum of all currents flowing in a circuit, accounting for both magnitude and direction.
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 Phase Voltage: 12 Volt --> 12 Volt No Conversion Required
Total Phase Current: 0.14 Ampere --> 0.14 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_t = 3*V_ph*I_ph*cos(Φ) --> 3*12*0.14*cos(1.04)

Evaluating ... ...

P_t = 2.5513500964532

STEP 3: Convert Result to Output's Unit

2.5513500964532 Watt --> No Conversion Required

FINAL ANSWER

2.5513500964532 ≈ 2.55135 Watt <-- Total Power

(Calculation completed in 00.020 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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

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Birsa Institute of Technology (BIT), Sindri

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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)

Total Power using phi Angle Formula

LaTeX Go

Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle)
P_t = 3*V_ph*I_ph*cos(Φ)

How to calculate total power?

The 3 phase wattmeter employs 2 wattmeter setups. They can be in either a star configuration or a delta configuration. It is also called a 3 wire system. The total power consumed is the sum of power consumed by each wattmeter. While calculating power, we use the arms value of the currents and voltages.

How to Calculate Total Power using phi Angle?

Total Power using phi Angle calculator uses Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle) to calculate 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 calculate Total Power using phi Angle using this online calculator? To use this online calculator 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. Here is how the Total Power using phi Angle calculation can be explained with given input values -> 50.11581 = 3*12*0.14*cos(1.04).

FAQ

What is Total Power using phi Angle?

The Total Power using phi Angle formula is used to calculate the total instantaneous power consumed in a two-phase wattmeter setup and is represented as P_t = 3*V_ph*I_ph*cos(Φ) or Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle). Total Phase Voltage refers to the algebraic sum of all voltage drops or rises across components in a circuit, considering both magnitude and direction, Total Phase Current refers to the algebraic sum of all currents flowing in a circuit, accounting for both magnitude and direction & 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 Total Power using phi Angle?

The Total Power using phi Angle formula is used to calculate the total instantaneous power consumed in a two-phase wattmeter setup is calculated using Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle). To calculate Total Power using phi Angle, you need Total Phase Voltage (V_ph), Total Phase Current (I_ph) & Phase Angle (Φ). With our tool, you need to enter the respective value for Total Phase Voltage, Total Phase Current & Phase Angle 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 Total Power?

In this formula, Total Power uses Total Phase Voltage, Total Phase Current & Phase Angle. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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