Deflecting Torque in Electrodynamic Wattmeter Calculator

✖Total Voltage refers to the combined electrical voltage across all phases of a multi-phase electrical system.ⓘ Total Voltage [V_t]			+10% -10%
✖Total Current is the sum of the current flowing through the load and pressure coil in a wattmeter circuit.ⓘ Total Current [I]			+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%
✖Inductance Change with Deflection Angle refers to the variation in the inductance of a coil or inductor as a result of changes in the angle of deflection.ⓘ Inductance Change with Deflection Angle [dM\|dθ]			+10% -10%
✖Pressure Coil Resistance is defined as a measure of the opposition to current flow in the pressure coil of wattmeter.ⓘ Pressure Coil Resistance [R_p]			+10% -10%

✖Deflecting torque is the mechanical force exerted on a meter's needle or pointer due to an applied current or voltage, causing it to move and indicate the measured quantity.ⓘ Deflecting Torque in Electrodynamic Wattmeter [T_d]

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Deflecting Torque in Electrodynamic Wattmeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflecting Torque = (Total Voltage*Total Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/Pressure Coil Resistance
T_d = (V_t*I*cos(Φ)*dM|dθ)/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

Deflecting Torque - (Measured in Newton Meter) - Deflecting torque is the mechanical force exerted on a meter's needle or pointer due to an applied current or voltage, causing it to move and indicate the measured quantity.
Total Voltage - (Measured in Volt) - Total Voltage refers to the combined electrical voltage across all phases of a multi-phase electrical system.
Total Current - (Measured in Ampere) - Total Current is the sum of the current flowing through the load and pressure coil in a wattmeter 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.
Inductance Change with Deflection Angle - (Measured in Henry Per Radian) - Inductance Change with Deflection Angle refers to the variation in the inductance of a coil or inductor as a result of changes in the angle of deflection.
Pressure Coil Resistance - (Measured in Ohm) - Pressure Coil Resistance is defined as a measure of the opposition to current flow in the pressure coil of wattmeter.

STEP 1: Convert Input(s) to Base Unit

Total Voltage: 10 Volt --> 10 Volt No Conversion Required
Total Current: 0.5 Ampere --> 0.5 Ampere No Conversion Required
Phase Angle: 1.04 Radian --> 1.04 Radian No Conversion Required
Inductance Change with Deflection Angle: 0.35 Henry Per Radian --> 0.35 Henry Per Radian No Conversion Required
Pressure Coil Resistance: 4.06 Ohm --> 4.06 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_d = (V_t*I*cos(Φ)*dM|dθ)/R_p --> (10*0.5*cos(1.04)*0.35)/4.06

Evaluating ... ...

T_d = 0.218198386738267

STEP 3: Convert Result to Output's Unit

0.218198386738267 Newton Meter --> No Conversion Required

FINAL ANSWER

0.218198386738267 ≈ 0.218198 Newton Meter <-- Deflecting Torque

(Calculation completed in 00.020 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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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)

Deflecting Torque in Electrodynamic Wattmeter Formula

LaTeX Go

Deflecting Torque = (Total Voltage*Total Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/Pressure Coil Resistance
T_d = (V_t*I*cos(Φ)*dM|dθ)/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 in Electrodynamic Wattmeter?

Deflecting Torque in Electrodynamic Wattmeter calculator uses Deflecting Torque = (Total Voltage*Total Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/Pressure Coil Resistance to calculate the Deflecting Torque, The Deflecting Torque in Electrodynamic Wattmeter formula is used to calculate the deflecting torque produced by an electrodynamic type of wattmeter when deflecting torque is balanced by restoring torque. Deflecting Torque is denoted by T_d symbol.

How to calculate Deflecting Torque in Electrodynamic Wattmeter using this online calculator? To use this online calculator for Deflecting Torque in Electrodynamic Wattmeter, enter Total Voltage (V_t), Total Current (I), Phase Angle (Φ), Inductance Change with Deflection Angle (dM|dθ) & Pressure Coil Resistance (R_p) and hit the calculate button. Here is how the Deflecting Torque in Electrodynamic Wattmeter calculation can be explained with given input values -> 0.218198 = (10*0.5*cos(1.04)*0.35)/4.06.

FAQ

What is Deflecting Torque in Electrodynamic Wattmeter?

The Deflecting Torque in Electrodynamic Wattmeter formula is used to calculate the deflecting torque produced by an electrodynamic type of wattmeter when deflecting torque is balanced by restoring torque and is represented as T_d = (V_t*I*cos(Φ)*dM|dθ)/R_p or Deflecting Torque = (Total Voltage*Total Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/Pressure Coil Resistance. Total Voltage refers to the combined electrical voltage across all phases of a multi-phase electrical system, Total Current is the sum of the current flowing through the load and pressure coil in a wattmeter 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, Inductance Change with Deflection Angle refers to the variation in the inductance of a coil or inductor as a result of changes in the angle of deflection & Pressure Coil Resistance is defined as a measure of the opposition to current flow in the pressure coil of wattmeter.

How to calculate Deflecting Torque in Electrodynamic Wattmeter?

The Deflecting Torque in Electrodynamic Wattmeter formula is used to calculate the deflecting torque produced by an electrodynamic type of wattmeter when deflecting torque is balanced by restoring torque is calculated using Deflecting Torque = (Total Voltage*Total Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/Pressure Coil Resistance. To calculate Deflecting Torque in Electrodynamic Wattmeter, you need Total Voltage (V_t), Total Current (I), Phase Angle (Φ), Inductance Change with Deflection Angle (dM|dθ) & Pressure Coil Resistance (R_p). With our tool, you need to enter the respective value for Total Voltage, Total Current, Phase Angle, Inductance Change with Deflection Angle & Pressure Coil Resistance 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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