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Armature Core Length using Specific Magnetic Loading Formula

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

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

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

Armature Core Length using Specific Magnetic Loading Example

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

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

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

0.3002 = \frac{4 \cdot 0.054}{3.1416 \cdot 0.5 \cdot 0.458}

0.3002m = \frac{4 \cdot 0.054Wb}{3.1416 \cdot 0.5m \cdot 0.458Wb/m²}

0.3002 = \frac{4 \cdot 0.054}{3.1416 \cdot 0.5 \cdot 0.458}

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Armature Core Length using Specific Magnetic Loading Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L a = \frac{4 \cdot 0.054Wb}{π \cdot 0.5m \cdot 0.458Wb/m²}

Next Step Substitute values of Constants

∴

L a = \frac{4 \cdot 0.054Wb}{3.1416 \cdot 0.5m \cdot 0.458Wb/m²}

Next Step Convert Units

∴

L a = \frac{4 \cdot 0.054Wb}{3.1416 \cdot 0.5m \cdot 0.458T}

Next Step Prepare to Evaluate

∴

L a = \frac{4 \cdot 0.054}{3.1416 \cdot 0.5 \cdot 0.458}

Next Step Evaluate

∴

L a = 0.300239892644973m

LAST Step Rounding Answer

∴

L a = 0.3002m

Armature Core Length using Specific Magnetic Loading Formula Elements

Variables

Constants

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

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

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

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

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 Core Length using Specific Magnetic Loading?

Armature Core Length using Specific Magnetic Loading evaluator uses Armature Core Length = (Number of Poles*Flux per Pole)/(pi*Armature Diameter*Specific Magnetic Loading) to evaluate the Armature Core Length, The Armature core length using Specific magnetic loading formula is defined as the relationship between the armature core length and the specific magnetic loading of a given electrical DC machine. The armature core length in an electrical machine can be determined using the specific magnetic loading, which is the magnetic loading per unit area. Armature Core Length is denoted by L_a symbol.

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

FAQs on Armature Core Length using Specific Magnetic Loading

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

The formula of Armature Core Length using Specific Magnetic Loading is expressed as Armature Core Length = (Number of Poles*Flux per Pole)/(pi*Armature Diameter*Specific Magnetic Loading). Here is an example- 0.30024 = (4*0.054)/(pi*0.5*0.458).

How to calculate Armature Core Length using Specific Magnetic Loading?

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

Can the Armature Core Length using Specific Magnetic Loading be negative?

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

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

Armature Core Length 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 Core Length using Specific Magnetic Loading can be measured.

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Armature Core Length using Specific Magnetic Loading Formula

Armature Core Length using Specific Magnetic Loading Example

Armature Core Length using Specific Magnetic Loading Solution

Armature Core Length using Specific Magnetic Loading Formula Elements

Other formulas in DC Machines category

How to Evaluate Armature Core Length using Specific Magnetic Loading?

FAQs on Armature Core Length using Specific Magnetic Loading

Variable Name