Deflecting Torque of Moving Iron Calculator

✖Current in Iron causes the iron vane to move due to magnetic forces, deflecting the pointer. The extent of deflection indicates the magnitude of the current flowing through the instrument.ⓘ Current in Iron [i_mi]			+10% -10%
✖Inductance Change with Angle means that as the iron vane moves, it alters the magnetic field, affecting the instrument's reading.ⓘ Inductance Change with Angle [dL\|dθ]			+10% -10%

✖Deflecting Torque is the force that moves the iron vane, caused by the interaction between the magnetic field and the current, indicating the current's magnitude.ⓘ Deflecting Torque of Moving Iron [T_d]

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Formula

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Deflecting Torque of Moving Iron

Formula

`"T"_{"d"} = 0.5*(("i"_{"mi"})^2)*"dL|dθ"`

Example

`"1.3125N*m"=0.5*(("0.5A")^2)*"10.50H/rad"`

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Deflecting Torque of Moving Iron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflecting Torque = 0.5*((Current in Iron)^2)*Inductance Change with Angle
T_d = 0.5*((i_mi)^2)*dL|dθ
This formula uses 3 Variables

Variables Used

Deflecting Torque - (Measured in Newton Meter) - Deflecting Torque is the force that moves the iron vane, caused by the interaction between the magnetic field and the current, indicating the current's magnitude.
Current in Iron - (Measured in Ampere) - Current in Iron causes the iron vane to move due to magnetic forces, deflecting the pointer. The extent of deflection indicates the magnitude of the current flowing through the instrument.
Inductance Change with Angle - (Measured in Henry Per Radian) - Inductance Change with Angle means that as the iron vane moves, it alters the magnetic field, affecting the instrument's reading.

STEP 1: Convert Input(s) to Base Unit

Current in Iron: 0.5 Ampere --> 0.5 Ampere No Conversion Required
Inductance Change with Angle: 10.5 Henry Per Radian --> 10.5 Henry Per Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_d = 0.5*((i_mi)^2)*dL|dθ --> 0.5*((0.5)^2)*10.5

Evaluating ... ...

T_d = 1.3125

STEP 3: Convert Result to Output's Unit

1.3125 Newton Meter --> No Conversion Required

FINAL ANSWER

1.3125 Newton Meter <-- Deflecting 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!

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Birsa Institute of Technology (BIT), Sindri

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< 2 Moving Iron Type Calculators

Angular Deflection of Moving Iron

Go Deflection Angle in Iron = (0.5*(Current in Iron)^2*Inductance Change with Angle)/Spring Constant

Deflecting Torque of Moving Iron

Go Deflecting Torque = 0.5*((Current in Iron)^2)*Inductance Change with Angle

Deflecting Torque of Moving Iron Formula

Deflecting Torque = 0.5*((Current in Iron)^2)*Inductance Change with Angle
T_d = 0.5*((i_mi)^2)*dL|dθ

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 Deflecting Torque = 0.5*((Current in Iron)^2)*Inductance Change with Angle to calculate the Deflecting 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. Deflecting Torque is denoted by T_d 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 Iron (i_mi) & Inductance Change with Angle (dL|dθ) and hit the calculate button. Here is how the Deflecting Torque of Moving Iron calculation can be explained with given input values -> 1.3125 = 0.5*((0.5)^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 T_d = 0.5*((i_mi)^2)*dL|dθ or Deflecting Torque = 0.5*((Current in Iron)^2)*Inductance Change with Angle. Current in Iron causes the iron vane to move due to magnetic forces, deflecting the pointer. The extent of deflection indicates the magnitude of the current flowing through the instrument & Inductance Change with Angle means that as the iron vane moves, it alters the magnetic field, affecting the instrument's reading.

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 Deflecting Torque = 0.5*((Current in Iron)^2)*Inductance Change with Angle. To calculate Deflecting Torque of Moving Iron, you need Current in Iron (i_mi) & Inductance Change with Angle (dL|dθ). With our tool, you need to enter the respective value for Current in Iron & Inductance Change with Angle 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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