Angular Deflection of Moving Iron Calculator

✖Current in Moving 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 Moving Iron [i]			+10% -10%
✖Change in Inductance with Angle in Moving Iron means that as the iron vane moves, it alters the magnetic field, affecting the instrument's reading.ⓘ Change in Inductance with Angle in Moving Iron [dL\|dθ]			+10% -10%
✖Spring Constant in Moving Iron determines the restoring force of the spring opposing the deflection, ensuring accurate measurement by balancing the magnetic force from the current.ⓘ Spring Constant in Moving Iron [K]			+10% -10%

✖Angle of Deflection in Moving 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" = (0.5*(("i")^2)*"dL|dθ")/"K"`

Example

`"0.2625rad"=(0.5*(("0.5A")^2)*"10.50H/rad")/"5Nm/rad"`

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Angular Deflection of Moving Iron Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Angle of Deflection in Moving Iron - (Measured in Radian) - Angle of Deflection in Moving Iron shows how much the needle moves in response to electrical current, indicating the measured quantity's magnitude.
Current in Moving Iron - (Measured in Ampere) - Current in Moving 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.
Change in Inductance with Angle in Moving Iron - (Measured in Henry Per Radian) - Change in Inductance with Angle in Moving Iron means that as the iron vane moves, it alters the magnetic field, affecting the instrument's reading.
Spring Constant in Moving Iron - (Measured in Newton Meter per Radian) - Spring Constant in Moving Iron 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 Moving Iron: 0.5 Ampere --> 0.5 Ampere No Conversion Required
Change in Inductance with Angle in Moving Iron: 10.5 Henry Per Radian --> 10.5 Henry Per Radian No Conversion Required
Spring Constant in Moving Iron: 5 Newton Meter per Radian --> 5 Newton Meter per Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = (0.5*((i)^2)*dL|dθ)/K --> (0.5*((0.5)^2)*10.5)/5

Evaluating ... ...

θ = 0.2625

STEP 3: Convert Result to Output's Unit

0.2625 Radian --> No Conversion Required

FINAL ANSWER

0.2625 Radian <-- Angle of Deflection in Moving Iron

(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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< 2 Moving Iron Type Calculators

Angular Deflection of Moving Iron

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

Deflecting Torque of Moving Iron

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

Angular Deflection of Moving Iron Formula

Angle of Deflection in Moving Iron = (0.5*((Current in Moving Iron)^2)*Change in Inductance with Angle in Moving Iron)/Spring Constant in Moving Iron
θ = (0.5*((i)^2)*dL|dθ)/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 in Moving Iron = (0.5*((Current in Moving Iron)^2)*Change in Inductance with Angle in Moving Iron)/Spring Constant in Moving Iron to calculate the Angle of Deflection in 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. Angle of Deflection in Moving 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 Moving Iron (i), Change in Inductance with Angle in Moving Iron (dL|dθ) & Spring Constant in Moving Iron (K) and hit the calculate button. Here is how the Angular Deflection of Moving Iron calculation can be explained with given input values -> 109375 = (0.5*((0.5)^2)*10.5)/5.

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)^2)*dL|dθ)/K or Angle of Deflection in Moving Iron = (0.5*((Current in Moving Iron)^2)*Change in Inductance with Angle in Moving Iron)/Spring Constant in Moving Iron. Current in Moving 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, Change in Inductance with Angle in Moving Iron means that as the iron vane moves, it alters the magnetic field, affecting the instrument's reading & Spring Constant in Moving Iron 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 Angle of Deflection in Moving Iron = (0.5*((Current in Moving Iron)^2)*Change in Inductance with Angle in Moving Iron)/Spring Constant in Moving Iron. To calculate Angular Deflection of Moving Iron, you need Current in Moving Iron (i), Change in Inductance with Angle in Moving Iron (dL|dθ) & Spring Constant in Moving Iron (K). With our tool, you need to enter the respective value for Current in Moving Iron, Change in Inductance with Angle in Moving Iron & Spring Constant in Moving Iron 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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