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%
✖Current in Phase 1 is the current flowing through the first arm.ⓘ Current in Phase 1 [I₁]			+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%

✖Total Power is the total power consumed in an n-phase circuit.ⓘ Power using Two Wattmeter Method [P_t]

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Formula

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Power using Two Wattmeter Method

Formula

`"P"_{"t"} = sqrt(3)*"V"_{"ph"}*"I"_{"1"}*cos((30*(pi/180))-"Φ")`

Example

`"90.37166W"=sqrt(3)*"12V"*"5A"*cos((30*(pi/180))-"1.04rad")`

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Power using Two Wattmeter Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Power = sqrt(3)*Total Phase Voltage*Current in Phase 1*cos((30*(pi/180))-Phase Angle)
P_t = sqrt(3)*V_ph*I₁*cos((30*(pi/180))-Φ)
This formula uses 1 Constants, 2 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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 is the total power consumed in an n-phase circuit.
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.
Current in Phase 1 - (Measured in Ampere) - Current in Phase 1 is the current flowing through the first arm.
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 Phase Voltage: 12 Volt --> 12 Volt No Conversion Required
Current in Phase 1: 5 Ampere --> 5 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((30*(pi/180))-Φ) --> sqrt(3)*12*5*cos((30*(pi/180))-1.04)

Evaluating ... ...

P_t = 90.3716612983792

STEP 3: Convert Result to Output's Unit

90.3716612983792 Watt --> No Conversion Required

FINAL ANSWER

90.3716612983792 ≈ 90.37166 Watt <-- Total Power

(Calculation completed in 00.004 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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National Institute Of Technology (NIT), Hamirpur

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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

Power using Two Wattmeter Method Formula

Total Power = sqrt(3)*Total Phase Voltage*Current in Phase 1*cos((30*(pi/180))-Phase Angle)
P_t = sqrt(3)*V_ph*I₁*cos((30*(pi/180))-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*Current in Phase 1*cos((30*(pi/180))-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), Current in Phase 1 (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 -> 90.37166 = sqrt(3)*12*5*cos((30*(pi/180))-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((30*(pi/180))-Φ) or Total Power = sqrt(3)*Total Phase Voltage*Current in Phase 1*cos((30*(pi/180))-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, Current in Phase 1 is the current flowing through the first arm & 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 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*Current in Phase 1*cos((30*(pi/180))-Phase Angle). To calculate Power using Two Wattmeter Method, you need Total Phase Voltage (V_ph), Current in Phase 1 (I₁) & Phase Angle (Φ). With our tool, you need to enter the respective value for Total Phase Voltage, Current in Phase 1 & 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, Current in Phase 1 & Phase Angle. We can use 4 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)/Resistance of the Voltmeter)
Total Power = (Total Voltage*Total Current)-(((Total Current)^2)*Resistance of Ammeter)
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)

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