Angular Deflection 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%
✖K (spring) gives the spring constant of the spring.ⓘ K (spring) [K]			+10% -10%

✖Angle of Deflection MI gives the angle of deflection in coil.ⓘ Angular Deflection of Moving Iron [θ_MI]

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Formula

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Angular Deflection of Moving Iron

Formula

`"θ"_{"MI"} = (0.5*(("i")^2)*"δLθ")/"K"`

Example

`"1.75rad"=(0.5*(("0.002A")^2)*"10.50H/rad")/"0.000012Nm/rad"`

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Angular Deflection of Moving Iron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Deflection MI = (0.5*((Current in Coil)^2)*Change in Inductance)/K (spring)
θ_MI = (0.5*((i)^2)*δLθ)/K
This formula uses 4 Variables

Variables Used

Angle of Deflection MI - (Measured in Radian) - Angle of Deflection MI gives the angle of deflection in coil.
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.
K (spring) - (Measured in Newton Meter per Radian) - K (spring) gives the spring constant of the spring.

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
K (spring): 1.2E-05 Newton Meter per Radian --> 1.2E-05 Newton Meter per Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_MI = (0.5*((i)^2)*δLθ)/K --> (0.5*((0.002)^2)*10.5)/1.2E-05

Evaluating ... ...

θ_MI = 1.75

STEP 3: Convert Result to Output's Unit

1.75 Radian --> No Conversion Required

FINAL ANSWER

1.75 Radian <-- Angle of Deflection MI

(Calculation completed in 00.004 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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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

Angular Deflection of Moving Iron Formula

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

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 Angle of Deflection MI = (0.5*((Current in Coil)^2)*Change in Inductance)/K (spring) to calculate the Angle of Deflection MI, 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. Angle of Deflection MI is denoted by θ_MI 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 Coil (i), Change in Inductance (δLθ) & K (spring) (K) and hit the calculate button. Here is how the Angular Deflection of Moving Iron calculation can be explained with given input values -> 1.75 = (0.5*((0.002)^2)*10.5)/1.2E-05.

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_MI = (0.5*((i)^2)*δLθ)/K or Angle of Deflection MI = (0.5*((Current in Coil)^2)*Change in Inductance)/K (spring). Current in Coil gives the current through moving coil, Change in Inductance with change in deflection angle in inductive coil & K (spring) gives the spring constant of the spring.

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 Angle of Deflection MI = (0.5*((Current in Coil)^2)*Change in Inductance)/K (spring). To calculate Angular Deflection of Moving Iron, you need Current in Coil (i), Change in Inductance (δLθ) & K (spring) (K). With our tool, you need to enter the respective value for Current in Coil, Change in Inductance & K (spring) 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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