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Angular Deflection of Moving Iron Formula

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Deflection Angle in Iron shows how much the needle moves in response to electrical current, indicating the measured quantity's magnitude. Check FAQs

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

θ - Deflection Angle in Iron?i_mi - Current in Iron?dL|dθ - Inductance Change with Angle?K_mi - Spring Constant?

Angular Deflection of Moving Iron Example

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Here is how the Angular Deflection of Moving Iron equation looks like with Values.

Here is how the Angular Deflection of Moving Iron equation looks like with Units.

Here is how the Angular Deflection of Moving Iron equation looks like.

0.5087 = \frac{0.5 \cdot {(0.5)}^{2} \cdot 10.5}{2.58}

0.5087rad = \frac{0.5 \cdot {(0.5A)}^{2} \cdot 10.5H/rad}{2.58Nm/rad}

0.5087 = \frac{0.5 \cdot {(0.5)}^{2} \cdot 10.5}{2.58}

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Angular Deflection of Moving Iron Solution

Follow our step by step solution on how to calculate Angular Deflection of Moving Iron?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

θ = \frac{0.5 \cdot {(0.5A)}^{2} \cdot 10.5H/rad}{2.58Nm/rad}

Next Step Prepare to Evaluate

∴

θ = \frac{0.5 \cdot {(0.5)}^{2} \cdot 10.5}{2.58}

Next Step Evaluate

∴

θ = 0.508720930232558rad

LAST Step Rounding Answer

∴

θ = 0.5087rad

Angular Deflection of Moving Iron Formula Elements

Variables

Deflection Angle in Iron

Deflection Angle in Iron shows how much the needle moves in response to electrical current, indicating the measured quantity's magnitude.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Deflection Angle in Iron

Current in Iron

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.

Symbol: i_mi

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Current in Iron

Inductance Change with Angle

Inductance Change with Angle means that as the iron vane moves, it alters the magnetic field, affecting the instrument's reading.

Symbol: dL|dθ

Measurement: Change in Inductance with Change in AngleUnit: H/rad

Note: Value can be positive or negative.

Formulas to find Inductance Change with Angle

Spring Constant

Spring Constant determines the restoring force of the spring opposing the deflection, ensuring accurate measurement by balancing the magnetic force from the current.

Symbol: K_mi

Measurement: Torsion ConstantUnit: Nm/rad

Note: Value should be greater than 0.

Formulas to find Spring Constant

Other formulas in Moving Iron Type category

Go Deflecting Torque of Moving Iron

T d = 0.5 \cdot ({(i mi)}^{2}) \cdot dL|dθ

How to Evaluate Angular Deflection of Moving Iron?

Angular Deflection of Moving Iron evaluator uses Deflection Angle in Iron = (0.5*(Current in Iron)^2*Inductance Change with Angle)/Spring Constant to evaluate 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 evaluate Angular Deflection of Moving Iron using this online evaluator? To use this online evaluator 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.

FAQs on Angular Deflection of Moving Iron

What is the formula to find Angular Deflection of Moving Iron?

The formula of Angular Deflection of Moving Iron is expressed as Deflection Angle in Iron = (0.5*(Current in Iron)^2*Inductance Change with Angle)/Spring Constant. Here is an example- 0.238636 = (0.5*(0.5)^2*10.5)/2.58.

How to calculate Angular Deflection of Moving Iron?

With Current in Iron (i_mi), Inductance Change with Angle (dL|dθ) & Spring Constant (K_mi) we can find Angular Deflection of Moving Iron using the formula - Deflection Angle in Iron = (0.5*(Current in Iron)^2*Inductance Change with Angle)/Spring Constant.

Can the Angular Deflection of Moving Iron be negative?

No, the Angular Deflection of Moving Iron, measured in Angle cannot be negative.

Which unit is used to measure Angular Deflection of Moving Iron?

Angular Deflection of Moving Iron is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Angular Deflection of Moving Iron can be measured.

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Angular Deflection of Moving Iron Formula

Angular Deflection of Moving Iron Example

Angular Deflection of Moving Iron Solution

Angular Deflection of Moving Iron Formula Elements

Other formulas in Moving Iron Type category

How to Evaluate Angular Deflection of Moving Iron?

FAQs on Angular Deflection of Moving Iron

Variable Name