Power using Two Wattmeter Method 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%
✖One Phase Current is the electrical current flowing through the load to determine the power consumption or generation in a single phase circuit.ⓘ One Phase Current [I₁]			+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.ⓘ Power using Two Wattmeter Method [P_t]

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Power using Two Wattmeter Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Power = sqrt(3)*Total Phase Voltage*One Phase Current*cos(Phase Angle)
P_t = sqrt(3)*V_ph*I₁*cos(Φ)
This formula uses 2 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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
One Phase Current - (Measured in Ampere) - One Phase Current is the electrical current flowing through the load to determine the power consumption or generation in a single phase circuit.
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
One Phase Current: 0.24 Ampere --> 0.24 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 = sqrt(3)*V_ph*I₁*cos(Φ) --> sqrt(3)*12*0.24*cos(1.04)

Evaluating ... ...

P_t = 2.52518171140155

STEP 3: Convert Result to Output's Unit

2.52518171140155 Watt --> No Conversion Required

FINAL ANSWER

2.52518171140155 ≈ 2.525182 Watt <-- Total Power

(Calculation completed in 00.007 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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National Institute Of Technology (NIT), Hamirpur

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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)

Power using Two Wattmeter Method Formula

LaTeX Go

Total Power = sqrt(3)*Total Phase Voltage*One Phase Current*cos(Phase Angle)
P_t = sqrt(3)*V_ph*I₁*cos(Φ)

What is the effective line voltage?

In the calculation of P₁, the effective line voltage is V₁₃. This line voltage leads by phase of (30-ϕ).

How to Calculate Power using Two Wattmeter Method?

Power using Two Wattmeter Method calculator uses Total Power = sqrt(3)*Total Phase Voltage*One Phase Current*cos(Phase Angle) to calculate the Total Power, The Power using Two Wattmeter Method formula is used to calculate the instantaneous power in wattmeter 1 in a two-phase circuit setup. Total Power is denoted by P_t symbol.

How to calculate Power using Two Wattmeter Method using this online calculator? To use this online calculator for Power using Two Wattmeter Method, enter Total Phase Voltage (V_ph), One Phase Current (I₁) & Phase Angle (Φ) and hit the calculate button. Here is how the Power using Two Wattmeter Method calculation can be explained with given input values -> 52.60795 = sqrt(3)*12*0.24*cos(1.04).

FAQ

What is Power using Two Wattmeter Method?

The Power using Two Wattmeter Method formula is used to calculate the instantaneous power in wattmeter 1 in a two-phase circuit setup and is represented as P_t = sqrt(3)*V_ph*I₁*cos(Φ) or Total Power = sqrt(3)*Total Phase Voltage*One 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, One Phase Current is the electrical current flowing through the load to determine the power consumption or generation in a single phase circuit & 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 Power using Two Wattmeter Method?

The Power using Two Wattmeter Method formula is used to calculate the instantaneous power in wattmeter 1 in a two-phase circuit setup is calculated using Total Power = sqrt(3)*Total Phase Voltage*One Phase Current*cos(Phase Angle). To calculate Power using Two Wattmeter Method, you need Total Phase Voltage (V_ph), One Phase Current (I₁) & Phase Angle (Φ). With our tool, you need to enter the respective value for Total Phase Voltage, One 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, One Phase Current & Phase Angle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Power = 3*Total Phase Voltage*Total 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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