Deflection Angle in Electrodynamic Wattmeter Calculator

✖Total Current is the sum of the current flowing through the load and pressure coil in a wattmeter circuit.ⓘ Total Current [I]			+10% -10%
✖Pressure Coil Current is the current flowing through the pressure coil of the wattmeter.ⓘ Pressure Coil Current [I_p]			+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%
✖Spring Constant defines the amount of force required to stretch or compress a spring by a certain distance.ⓘ Spring Constant [K]			+10% -10%

✖Deflection Angle is the angle at which a pointer or needle in a device stops moving when deflection torque is balanced by restoring torque.ⓘ Deflection Angle in Electrodynamic Wattmeter [θ]

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Formula

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Deflection Angle in Electrodynamic Wattmeter

Formula

`"θ" = ("I"*"I"_{"p"}*cos("Φ")*"dM|dθ")/("K")`

Example

`"0.782532rad"=("0.5A"*"1.06A"*cos("1.04rad")*"0.35H/rad")/("0.12Nm/rad")`

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Deflection Angle in Electrodynamic Wattmeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection Angle = (Total Current*Pressure Coil Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/(Spring Constant)
θ = (I*I_p*cos(Φ)*dM|dθ)/(K)
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

Deflection Angle - (Measured in Radian) - Deflection Angle is the angle at which a pointer or needle in a device stops moving when deflection torque is balanced by restoring torque.
Total Current - (Measured in Ampere) - Total Current is the sum of the current flowing through the load and pressure coil in a wattmeter circuit.
Pressure Coil Current - (Measured in Ampere) - Pressure Coil Current is the current flowing through the pressure coil of the wattmeter.
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.
Spring Constant - (Measured in Newton Meter per Radian) - Spring Constant defines the amount of force required to stretch or compress a spring by a certain distance.

STEP 1: Convert Input(s) to Base Unit

Total Current: 0.5 Ampere --> 0.5 Ampere No Conversion Required
Pressure Coil Current: 1.06 Ampere --> 1.06 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
Spring Constant: 0.12 Newton Meter per Radian --> 0.12 Newton Meter per Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = (I*I_p*cos(Φ)*dM|dθ)/(K) --> (0.5*1.06*cos(1.04)*0.35)/(0.12)

Evaluating ... ...

θ = 0.782532147639003

STEP 3: Convert Result to Output's Unit

0.782532147639003 Radian --> No Conversion Required

FINAL ANSWER

0.782532147639003 ≈ 0.782532 Radian <-- Deflection Angle

(Calculation completed in 00.004 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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Birsa Institute of Technology (BIT), Sindri

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< 15 Wattmeter Circuit Calculators

Deflecting Torque in Electrodynamic Wattmeter

Go Deflecting Torque = (Total Voltage*Total Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/Pressure Coil Resistance

Deflection Angle in Electrodynamic Wattmeter

Go Deflection Angle = (Total Current*Pressure Coil Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/(Spring Constant)

Total Power for Three Phase Wattmeter

Go Total Power = (One Phase Voltage*One Phase Current)+(Two Phase Voltage*Two Phase Current)+(Three Phase Voltage*Three Phase Current)

Resistance of Watt-meter pressure Coil

Go Pressure Coil Resistance = (Voltage Induced in Secondary Winding 2-(Pressure Coil Current*Secondary Winding 1 Coil Resistance))/Pressure Coil Current

Resistance of coil S1

Go Secondary Winding 1 Coil Resistance = (Voltage Induced in Secondary Winding 2-(Pressure Coil Current*Pressure Coil Resistance))/Pressure Coil Current

Total copper loss in secondary winding circuit

Go Secondary Winding Copper Loss = (Voltage Induced in Secondary Winding 2^2)/(Secondary Winding 1 Coil Resistance+Pressure Coil Resistance)

Power using Two Wattmeter Method

Go Total Power = sqrt(3)*Total Phase Voltage*One Phase Current*cos(Phase Angle)

Current in pressure coil circuit

Go Pressure Coil Current = Voltage Induced in Secondary Winding 2/(Pressure Coil Resistance+Secondary Winding 1 Coil Resistance)

Voltage Induced in S2

Go Voltage Induced in Secondary Winding 2 = Pressure Coil Current*(Pressure Coil Resistance+Secondary Winding 1 Coil Resistance)

DC Power (in Voltage Terms)

Go Total Power = Total Voltage*Total Current-(Total Voltage^2/Voltmeter Resistance)

DC Power (in Current Terms)

Go Total Power = Total Voltage*Total Current-Total Current^2*Ammeter Resistance

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 = (Pressure Coil Voltage*Iron Loss)/(Potential Difference)

Voltage applied to wattmeter pressure coil

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

Deflection Angle in Electrodynamic Wattmeter Formula

Deflection Angle = (Total Current*Pressure Coil Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/(Spring Constant)
θ = (I*I_p*cos(Φ)*dM|dθ)/(K)

How is power loss compensated in an ED 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 Deflection Angle in Electrodynamic Wattmeter?

Deflection Angle in Electrodynamic Wattmeter calculator uses Deflection Angle = (Total Current*Pressure Coil Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/(Spring Constant) to calculate the Deflection Angle, The Deflection Angle in Electrodynamic Wattmeter formula is used to calculate the angle at which the deflecting and restoring torque are balanced in an electrodynamic Wattmeter. Deflection Angle is denoted by θ symbol.

How to calculate Deflection Angle in Electrodynamic Wattmeter using this online calculator? To use this online calculator for Deflection Angle in Electrodynamic Wattmeter, enter Total Current (I), Pressure Coil Current (I_p), Phase Angle (Φ), Inductance Change with Deflection Angle (dM|dθ) & Spring Constant (K) and hit the calculate button. Here is how the Deflection Angle in Electrodynamic Wattmeter calculation can be explained with given input values -> 8.120617 = (0.5*1.06*cos(1.04)*0.35)/(0.12).

FAQ

What is Deflection Angle in Electrodynamic Wattmeter?

The Deflection Angle in Electrodynamic Wattmeter formula is used to calculate the angle at which the deflecting and restoring torque are balanced in an electrodynamic Wattmeter and is represented as θ = (I*I_p*cos(Φ)*dM|dθ)/(K) or Deflection Angle = (Total Current*Pressure Coil Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/(Spring Constant). Total Current is the sum of the current flowing through the load and pressure coil in a wattmeter circuit, Pressure Coil Current is the current flowing through the pressure coil of the wattmeter, 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 & Spring Constant defines the amount of force required to stretch or compress a spring by a certain distance.

How to calculate Deflection Angle in Electrodynamic Wattmeter?

The Deflection Angle in Electrodynamic Wattmeter formula is used to calculate the angle at which the deflecting and restoring torque are balanced in an electrodynamic Wattmeter is calculated using Deflection Angle = (Total Current*Pressure Coil Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/(Spring Constant). To calculate Deflection Angle in Electrodynamic Wattmeter, you need Total Current (I), Pressure Coil Current (I_p), Phase Angle (Φ), Inductance Change with Deflection Angle (dM|dθ) & Spring Constant (K). With our tool, you need to enter the respective value for Total Current, Pressure Coil Current, Phase Angle, Inductance Change with Deflection Angle & Spring Constant 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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