Deflecting Torque of Moving Iron Calculator

✖Current in Coil gives the current through moving coil.ⓘ Current in Coil [i]			+10% -10%
✖Change in Inductance with change in deflection angle in inductive coil.ⓘ Change in Inductance [δLθ]			+10% -10%

✖Torque gives the deflecting torque of the pmmc instrument.ⓘ Deflecting Torque of Moving Iron [Td]

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Formula

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Deflecting Torque of Moving Iron

Formula

`"Td" = 0.5*(("i")^2)*"δLθ"`

Example

`"2.1E^-5N*m"=0.5*(("0.002A")^2)*"10.50H/rad"`

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Deflecting Torque of Moving Iron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque = 0.5*((Current in Coil)^2)*Change in Inductance
Td = 0.5*((i)^2)*δLθ
This formula uses 3 Variables

Variables Used

Torque - (Measured in Newton Meter) - Torque gives the deflecting torque of the pmmc instrument.
Current in Coil - (Measured in Ampere) - Current in Coil gives the current through moving coil.
Change in Inductance - (Measured in Henry Per Radian) - Change in Inductance with change in deflection angle in inductive coil.

STEP 1: Convert Input(s) to Base Unit

Current in Coil: 0.002 Ampere --> 0.002 Ampere No Conversion Required
Change in Inductance: 10.5 Henry Per Radian --> 10.5 Henry Per Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Td = 0.5*((i)^2)*δLθ --> 0.5*((0.002)^2)*10.5

Evaluating ... ...

Td = 2.1E-05

STEP 3: Convert Result to Output's Unit

2.1E-05 Newton Meter --> No Conversion Required

FINAL ANSWER

2.1E-05 ≈ 2.1E-5 Newton Meter <-- Torque

(Calculation completed in 00.004 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!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 4 Moving Iron Type Circuit Calculators

m of Moving Iron Ammeter

Go Multiplying Power 3 = (Rm/Rsh)*sqrt((1+((Omega*Inductance)/Rm)^2)/(1+((Omega*Shunt Inductance)/Rsh)^2))

Angular Deflection of Moving Iron

Go Angle of Deflection MI = (0.5*((Current in Coil)^2)*Change in Inductance)/K (spring)

Deflecting Torque of Moving Iron

Go Torque = 0.5*((Current in Coil)^2)*Change in Inductance

Time Constant of Moving Iron Ammeter

Go Time Constant = Shunt Inductance/Rsh

Deflecting Torque of Moving Iron Formula

Torque = 0.5*((Current in Coil)^2)*Change in Inductance
Td = 0.5*((i)^2)*δLθ

What is Moving Iron Instrument?

A moving-iron instrument is generally used to measure alternating voltages and currents. The moving element is an iron vane/plate. This iron is moved in a magnetic field produced by a stationary coil, which is excited by the current. On excitement, the coil behaves as an electromagnet, and the vane moves in such a way that the flux increases. Force is produced in the direction which results in the increment of coil inductance.

How to Calculate Deflecting Torque of Moving Iron?

Deflecting Torque of Moving Iron calculator uses Torque = 0.5*((Current in Coil)^2)*Change in Inductance to calculate the Torque, The Deflecting Torque of Moving Iron is produced due to a change in inductance of inductive coils and is proportional to increment in inductance with deflection increment. Torque is denoted by Td symbol.

How to calculate Deflecting Torque of Moving Iron using this online calculator? To use this online calculator for Deflecting Torque of Moving Iron, enter Current in Coil (i) & Change in Inductance (δLθ) and hit the calculate button. Here is how the Deflecting Torque of Moving Iron calculation can be explained with given input values -> 2.1E-5 = 0.5*((0.002)^2)*10.5.

FAQ

What is Deflecting Torque of Moving Iron?

The Deflecting Torque of Moving Iron is produced due to a change in inductance of inductive coils and is proportional to increment in inductance with deflection increment and is represented as Td = 0.5*((i)^2)*δLθ or Torque = 0.5*((Current in Coil)^2)*Change in Inductance. Current in Coil gives the current through moving coil & Change in Inductance with change in deflection angle in inductive coil.

How to calculate Deflecting Torque of Moving Iron?

The Deflecting Torque of Moving Iron is produced due to a change in inductance of inductive coils and is proportional to increment in inductance with deflection increment is calculated using Torque = 0.5*((Current in Coil)^2)*Change in Inductance. To calculate Deflecting Torque of Moving Iron, you need Current in Coil (i) & Change in Inductance (δLθ). With our tool, you need to enter the respective value for Current in Coil & Change in Inductance 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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