Angular Deflection of Moving Iron Calculator

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Moving Iron Type Electrodynamometer Type Induction Type Permanent Magnet Moving Coil (PMMC)

✖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%
✖Spring Constant determines the restoring force of the spring opposing the deflection, ensuring accurate measurement by balancing the magnetic force from the current.ⓘ Spring Constant [K_mi]			+10% -10%

✖Deflection Angle in Iron shows how much the needle moves in response to electrical current, indicating the measured quantity's magnitude.ⓘ Angular Deflection of Moving Iron [θ]

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Formula

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Angular Deflection of Moving Iron

Formula

θ = \frac{0.5 \cdot {(i mi)}^{2} \cdot dL|dθ}{K mi}

Example

0.508721 rad = \frac{0.5 \cdot {(0.5 A)}^{2} \cdot 10.50 H/rad}{2.58 Nm/rad}

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Angular Deflection of Moving Iron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection Angle in Iron = (0.5*(Current in Iron)^2*Inductance Change with Angle)/Spring Constant
θ = (0.5*(i_mi)^2*dL|dθ)/K_mi
This formula uses 4 Variables

Variables Used

Deflection Angle in Iron - (Measured in Radian) - Deflection Angle in Iron shows how much the needle moves in response to electrical current, indicating the measured quantity'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.
Spring Constant - (Measured in Newton Meter per Radian) - Spring Constant determines the restoring force of the spring opposing the deflection, ensuring accurate measurement by balancing the magnetic force from the current.

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
Spring Constant: 2.58 Newton Meter per Radian --> 2.58 Newton Meter per Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = (0.5*(i_mi)^2*dL|dθ)/K_mi --> (0.5*(0.5)^2*10.5)/2.58

Evaluating ... ...

θ = 0.508720930232558

STEP 3: Convert Result to Output's Unit

0.508720930232558 Radian --> No Conversion Required

FINAL ANSWER

0.508720930232558 ≈ 0.508721 Radian <-- Deflection Angle in Iron

(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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< 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

Angular Deflection of Moving Iron Formula

Deflection Angle in Iron = (0.5*(Current in Iron)^2*Inductance Change with Angle)/Spring Constant
θ = (0.5*(i_mi)^2*dL|dθ)/K_mi

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 Angular Deflection of Moving Iron?

Angular Deflection of Moving Iron calculator uses Deflection Angle in Iron = (0.5*(Current in Iron)^2*Inductance Change with Angle)/Spring Constant to calculate the Deflection Angle in Iron, The Angular Deflection of Moving Iron gives the angle at which both torques are balanced. It is the indicating parameter and is proportional to the square of RMS value of the operating current. Deflection Angle in Iron is denoted by θ symbol.

How to calculate Angular Deflection of Moving Iron using this online calculator? To use this online calculator for Angular Deflection of Moving Iron, enter Current in Iron (i_mi), Inductance Change with Angle (dL|dθ) & Spring Constant (K_mi) and hit the calculate button. Here is how the Angular Deflection of Moving Iron calculation can be explained with given input values -> 0.238636 = (0.5*(0.5)^2*10.5)/2.58.

FAQ

What is Angular Deflection of Moving Iron?

The Angular Deflection of Moving Iron gives the angle at which both torques are balanced. It is the indicating parameter and is proportional to the square of RMS value of the operating current and is represented as θ = (0.5*(i_mi)^2*dL|dθ)/K_mi or Deflection Angle in Iron = (0.5*(Current in Iron)^2*Inductance Change with Angle)/Spring Constant. 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 & Spring Constant determines the restoring force of the spring opposing the deflection, ensuring accurate measurement by balancing the magnetic force from the current.

How to calculate Angular Deflection of Moving Iron?

The Angular Deflection of Moving Iron gives the angle at which both torques are balanced. It is the indicating parameter and is proportional to the square of RMS value of the operating current is calculated using Deflection Angle in Iron = (0.5*(Current in Iron)^2*Inductance Change with Angle)/Spring Constant. To calculate Angular Deflection of Moving Iron, you need Current in Iron (i_mi), Inductance Change with Angle (dL|dθ) & Spring Constant (K_mi). With our tool, you need to enter the respective value for Current in Iron, Inductance Change with 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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