Deflecting Torque of ED Wattmeter Calculator

✖Voltage (total) is the amount of total potential difference across the network. In this case, it is usually the voltage difference across the voltmeter.ⓘ Voltage (total) [V]			+10% -10%
✖Current (total) is the total amount of current flowing through the circuit with the load.ⓘ Current (total) [I]			+10% -10%
✖Phi is used to calculate cos(phi), which is the power factor.ⓘ Phi [ϕ]			+10% -10%
✖Change in Mutual Inductance is the change in the inductance in both coil (mutual) with a change in deflecting angle.ⓘ Change in Mutual Inductance [dMdθ]			+10% -10%
✖Resistance (P.C) is the internal resistance of the pressure coil in an ED type wattmeter.ⓘ Resistance (P.C) [R_p]			+10% -10%

✖Torque 1 gives the deflecting torque of the pmmc instrument.ⓘ Deflecting Torque of ED Wattmeter [T_d1]

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Formula

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Deflecting Torque of ED Wattmeter

Formula

`"T"_{"d1"} = ("V"*"I"*cos("ϕ")*"dMdθ")/"R"_{"p"}`

Example

`"0.000406N*m"=("100V"*"8A"*cos("1.04rad")*"0.35μH/degree")/"20Ω"`

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Deflecting Torque of ED Wattmeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque 1 = (Voltage (total)*Current (total)*cos(Phi)*Change in Mutual Inductance)/Resistance (P.C)
T_d1 = (V*I*cos(ϕ)*dMdθ)/R_p
This formula uses 1 Functions, 6 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

Torque 1 - (Measured in Newton Meter) - Torque 1 gives the deflecting torque of the pmmc instrument.
Voltage (total) - (Measured in Volt) - Voltage (total) is the amount of total potential difference across the network. In this case, it is usually the voltage difference across the voltmeter.
Current (total) - (Measured in Ampere) - Current (total) is the total amount of current flowing through the circuit with the load.
Phi - (Measured in Radian) - Phi is used to calculate cos(phi), which is the power factor.
Change in Mutual Inductance - (Measured in Henry Per Radian) - Change in Mutual Inductance is the change in the inductance in both coil (mutual) with a change in deflecting angle.
Resistance (P.C) - (Measured in Ohm) - Resistance (P.C) is the internal resistance of the pressure coil in an ED type wattmeter.

STEP 1: Convert Input(s) to Base Unit

Voltage (total): 100 Volt --> 100 Volt No Conversion Required
Current (total): 8 Ampere --> 8 Ampere No Conversion Required
Phi: 1.04 Radian --> 1.04 Radian No Conversion Required
Change in Mutual Inductance: 0.35 Microhenry per Degree --> 2.00535228295826E-05 Henry Per Radian (Check conversion here)
Resistance (P.C): 20 Ohm --> 20 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_d1 = (V*I*cos(ϕ)*dMdθ)/R_p --> (100*8*cos(1.04)*2.00535228295826E-05)/20

Evaluating ... ...

T_d1 = 0.000406059979408588

STEP 3: Convert Result to Output's Unit

0.000406059979408588 Newton Meter --> No Conversion Required

FINAL ANSWER

0.000406059979408588 ≈ 0.000406 Newton Meter <-- Torque 1

(Calculation completed in 00.004 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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< 15 Wattmeter Circuit Calculators

Angle of Deflection of ED Wattmeter

Go Angle of Deflection 1 = (Current (total)*Current (P.C)*cos(Phi)*Change in Mutual Inductance)/(Resistance (P.C)*K (spring))

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

Deflecting Torque of ED Wattmeter

Go Torque 1 = (Voltage (total)*Current (total)*cos(Phi)*Change in Mutual Inductance)/Resistance (P.C)

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 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*Iron Loss)/(Potential Difference)

Voltage applied to wattmeter pressure coil

Go Voltage at Wattmeter Pressure Coil = (Wattmeter Reading*Potential Difference)/Iron Loss

Deflecting Torque of ED Wattmeter Formula

Torque 1 = (Voltage (total)*Current (total)*cos(Phi)*Change in Mutual Inductance)/Resistance (P.C)
T_d1 = (V*I*cos(ϕ)*dMdθ)/R_p

How to compensate for the power loss in ED type wattmeter?

Compensation is done by wrapping a coil around the current/fixed coil. This coil opposes the field of the current coil and creates its own field in proportion to the current. This gives a result field solely due to the total current.

How to Calculate Deflecting Torque of ED Wattmeter?

Deflecting Torque of ED Wattmeter calculator uses Torque 1 = (Voltage (total)*Current (total)*cos(Phi)*Change in Mutual Inductance)/Resistance (P.C) to calculate the Torque 1, The Deflecting Torque of ED Wattmeter formula is used to calculate the deflecting torque produced by an ED type wattmeter over a certain time period. Torque 1 is denoted by T_d1 symbol.

How to calculate Deflecting Torque of ED Wattmeter using this online calculator? To use this online calculator for Deflecting Torque of ED Wattmeter, enter Voltage (total) (V), Current (total) (I), Phi (ϕ), Change in Mutual Inductance (dMdθ) & Resistance (P.C) (R_p) and hit the calculate button. Here is how the Deflecting Torque of ED Wattmeter calculation can be explained with given input values -> 0.000406 = (100*8*cos(1.04)*2.00535228295826E-05)/20.

FAQ

What is Deflecting Torque of ED Wattmeter?

The Deflecting Torque of ED Wattmeter formula is used to calculate the deflecting torque produced by an ED type wattmeter over a certain time period and is represented as T_d1 = (V*I*cos(ϕ)*dMdθ)/R_p or Torque 1 = (Voltage (total)*Current (total)*cos(Phi)*Change in Mutual Inductance)/Resistance (P.C). Voltage (total) is the amount of total potential difference across the network. In this case, it is usually the voltage difference across the voltmeter, Current (total) is the total amount of current flowing through the circuit with the load, Phi is used to calculate cos(phi), which is the power factor, Change in Mutual Inductance is the change in the inductance in both coil (mutual) with a change in deflecting angle & Resistance (P.C) is the internal resistance of the pressure coil in an ED type wattmeter.

How to calculate Deflecting Torque of ED Wattmeter?

The Deflecting Torque of ED Wattmeter formula is used to calculate the deflecting torque produced by an ED type wattmeter over a certain time period is calculated using Torque 1 = (Voltage (total)*Current (total)*cos(Phi)*Change in Mutual Inductance)/Resistance (P.C). To calculate Deflecting Torque of ED Wattmeter, you need Voltage (total) (V), Current (total) (I), Phi (ϕ), Change in Mutual Inductance (dMdθ) & Resistance (P.C) (R_p). With our tool, you need to enter the respective value for Voltage (total), Current (total), Phi, Change in Mutual Inductance & Resistance (P.C) and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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