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Armature Diameter using Specific Magnetic Loading Formula

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Armature diameter refers to the diameter of the armature core, which is a component found in certain types of electric machines, such as motors and generators. Check FAQs

D a = \frac{n \cdot Φ}{π \cdot B av \cdot L a}

D_a - Armature Diameter?n - Number of Poles?Φ - Flux per Pole?B_av - Specific Magnetic Loading?L_a - Armature Core Length?π - Archimedes' constant?

Armature Diameter using Specific Magnetic Loading Example

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Here is how the Armature Diameter using Specific Magnetic Loading equation looks like with Values.

Here is how the Armature Diameter using Specific Magnetic Loading equation looks like with Units.

Here is how the Armature Diameter using Specific Magnetic Loading equation looks like.

0.5004 = \frac{4 \cdot 0.054}{3.1416 \cdot 0.458 \cdot 0.3}

0.5004m = \frac{4 \cdot 0.054Wb}{3.1416 \cdot 0.458Wb/m² \cdot 0.3m}

0.5004 = \frac{4 \cdot 0.054}{3.1416 \cdot 0.458 \cdot 0.3}

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Armature Diameter using Specific Magnetic Loading Solution

Follow our step by step solution on how to calculate Armature Diameter using Specific Magnetic Loading?

FIRST Step Consider the formula

D a = \frac{n \cdot Φ}{π \cdot B av \cdot L a}

Next Step Substitute values of Variables

∴

D a = \frac{4 \cdot 0.054Wb}{π \cdot 0.458Wb/m² \cdot 0.3m}

Next Step Substitute values of Constants

∴

D a = \frac{4 \cdot 0.054Wb}{3.1416 \cdot 0.458Wb/m² \cdot 0.3m}

Next Step Convert Units

∴

D a = \frac{4 \cdot 0.054Wb}{3.1416 \cdot 0.458T \cdot 0.3m}

Next Step Prepare to Evaluate

∴

D a = \frac{4 \cdot 0.054}{3.1416 \cdot 0.458 \cdot 0.3}

Next Step Evaluate

∴

D a = 0.500399821074955m

LAST Step Rounding Answer

∴

D a = 0.5004m

Armature Diameter using Specific Magnetic Loading Formula Elements

Variables

Constants

Armature Diameter

Armature diameter refers to the diameter of the armature core, which is a component found in certain types of electric machines, such as motors and generators.

Symbol: D_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Armature Diameter

Number of Poles

The number of poles determines the synchronous speed and operating characteristics of the machine.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 1.

Formulas to find Number of Poles

Flux per Pole

Flux per pole is defined as the magnetic flux present at each pole of any electrical machine.

Symbol: Φ

Measurement: Magnetic FluxUnit: Wb

Note: Value should be greater than 0.

Formulas to find Flux per Pole

Specific Magnetic Loading

Specific Magnetic loading is defined as the total flux per unit area over the surface of the armature periphery and is denoted by B_av for any electrical machine.

Symbol: B_av

Measurement: Magnetic Flux DensityUnit: Wb/m²

Note: Value can be positive or negative.

Formulas to find Specific Magnetic Loading

Armature Core Length

Armature core length refers to the axial length of the armature core, which is the part of the machine that houses the armature winding.

Symbol: L_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Armature Core Length

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in DC Machines category

Go Limiting Value of Core Length

L limit = \frac{7.5}{B av \cdot V a \cdot T c \cdot n c}

Go Average Gap Density using Limiting Value of Core Length

B av = \frac{7.5}{L limit \cdot V a \cdot T c \cdot n c}

Go Peripheral Speed of Armature using Limiting Value of Core Length

V a = \frac{7.5}{B av \cdot L limit \cdot T c \cdot n c}

Go Number of Poles using Magnetic Loading

n = \frac{B}{Φ}

How to Evaluate Armature Diameter using Specific Magnetic Loading?

Armature Diameter using Specific Magnetic Loading evaluator uses Armature Diameter = (Number of Poles*Flux per Pole)/(pi*Specific Magnetic Loading*Armature Core Length) to evaluate the Armature Diameter, The Armature diameter using Specific magnetic loading formula is defined as the relation between the armature diameter and the specific magnetic loading of a given electrical machine. Armature Diameter is denoted by D_a symbol.

How to evaluate Armature Diameter using Specific Magnetic Loading using this online evaluator? To use this online evaluator for Armature Diameter using Specific Magnetic Loading, enter Number of Poles (n), Flux per Pole (Φ), Specific Magnetic Loading (B_av) & Armature Core Length (L_a) and hit the calculate button.

FAQs on Armature Diameter using Specific Magnetic Loading

What is the formula to find Armature Diameter using Specific Magnetic Loading?

The formula of Armature Diameter using Specific Magnetic Loading is expressed as Armature Diameter = (Number of Poles*Flux per Pole)/(pi*Specific Magnetic Loading*Armature Core Length). Here is an example- 0.5004 = (4*0.054)/(pi*0.458*0.3).

How to calculate Armature Diameter using Specific Magnetic Loading?

With Number of Poles (n), Flux per Pole (Φ), Specific Magnetic Loading (B_av) & Armature Core Length (L_a) we can find Armature Diameter using Specific Magnetic Loading using the formula - Armature Diameter = (Number of Poles*Flux per Pole)/(pi*Specific Magnetic Loading*Armature Core Length). This formula also uses Archimedes' constant .

Can the Armature Diameter using Specific Magnetic Loading be negative?

No, the Armature Diameter using Specific Magnetic Loading, measured in Length cannot be negative.

Which unit is used to measure Armature Diameter using Specific Magnetic Loading?

Armature Diameter using Specific Magnetic Loading is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Armature Diameter using Specific Magnetic Loading can be measured.

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Armature Diameter using Specific Magnetic Loading Formula

Armature Diameter using Specific Magnetic Loading Example

Armature Diameter using Specific Magnetic Loading Solution

Armature Diameter using Specific Magnetic Loading Formula Elements

Other formulas in DC Machines category

How to Evaluate Armature Diameter using Specific Magnetic Loading?

FAQs on Armature Diameter using Specific Magnetic Loading

Variable Name