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Limiting Value of Core Length Formula

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Limiting value of Core length is the emf induced in a conductor should exceed 7.5/TcNc in order that the maximum value at load between adjacent segments limited to 30 V. Check FAQs

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

L_limit - Limiting Value of Core Length?B_av - Specific Magnetic Loading?V_a - Peripheral Speed of Armature?T_c - Turns per Coil?n_c - Number of Coils between Adjacent Segments?

Limiting Value of Core Length Example

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Here is how the Limiting Value of Core Length equation looks like with Values.

Here is how the Limiting Value of Core Length equation looks like with Units.

Here is how the Limiting Value of Core Length equation looks like.

0.3006 = \frac{7.5}{0.458 \cdot 0.0445 \cdot 204 \cdot 6}

0.3006m = \frac{7.5}{0.458Wb/m² \cdot 0.0445m/s \cdot 204 \cdot 6}

0.3006 = \frac{7.5}{0.458 \cdot 0.0445 \cdot 204 \cdot 6}

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Limiting Value of Core Length Solution

Follow our step by step solution on how to calculate Limiting Value of Core Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L limit = \frac{7.5}{0.458Wb/m² \cdot 0.0445m/s \cdot 204 \cdot 6}

Next Step Convert Units

∴

L limit = \frac{7.5}{0.458T \cdot 0.0445m/s \cdot 204 \cdot 6}

Next Step Prepare to Evaluate

∴

L limit = \frac{7.5}{0.458 \cdot 0.0445 \cdot 204 \cdot 6}

Next Step Evaluate

∴

L limit = 0.300645256876118m

LAST Step Rounding Answer

∴

L limit = 0.3006m

Limiting Value of Core Length Formula Elements

Variables

Limiting Value of Core Length

Limiting value of Core length is the emf induced in a conductor should exceed 7.5/TcNc in order that the maximum value at load between adjacent segments limited to 30 V.

Symbol: L_limit

Measurement: LengthUnit: m

Note: Value should be less than 0.37.

Formulas to find Limiting Value of Core Length

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

Peripheral Speed of Armature

Peripheral speed of armature is the distance travel by the armature per unit time is called as peripheral speed. n = speed in r.p.s.

Symbol: V_a

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Peripheral Speed of Armature

Turns per Coil

Turns per coil refers to the number of turns or windings of wire in each coil of the machine's winding system.

Symbol: T_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Turns per Coil

Number of Coils between Adjacent Segments

Number of coils between adjacent segments ,1 for simplex lap winding and P/2 for a simplex wave winding.

Symbol: n_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Coils between Adjacent Segments

Other formulas in DC Machines category

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}

Go Flux per Pole using Magnetic Loading

Φ = \frac{B}{n}

How to Evaluate Limiting Value of Core Length?

Limiting Value of Core Length evaluator uses Limiting Value of Core Length = (7.5)/(Specific Magnetic Loading*Peripheral Speed of Armature*Turns per Coil*Number of Coils between Adjacent Segments) to evaluate the Limiting Value of Core Length, The Limiting value of core length is the approaching or closest value of core length of the machine. It depends on the cost, efficiency, power factor, overall design. Limiting Value of Core Length is denoted by L_limit symbol.

How to evaluate Limiting Value of Core Length using this online evaluator? To use this online evaluator for Limiting Value of Core Length, enter Specific Magnetic Loading (B_av), Peripheral Speed of Armature (V_a), Turns per Coil (T_c) & Number of Coils between Adjacent Segments (n_c) and hit the calculate button.

FAQs on Limiting Value of Core Length

What is the formula to find Limiting Value of Core Length?

The formula of Limiting Value of Core Length is expressed as Limiting Value of Core Length = (7.5)/(Specific Magnetic Loading*Peripheral Speed of Armature*Turns per Coil*Number of Coils between Adjacent Segments). Here is an example- 0.300645 = (7.5)/(0.458*0.0445*204*6).

How to calculate Limiting Value of Core Length?

With Specific Magnetic Loading (B_av), Peripheral Speed of Armature (V_a), Turns per Coil (T_c) & Number of Coils between Adjacent Segments (n_c) we can find Limiting Value of Core Length using the formula - Limiting Value of Core Length = (7.5)/(Specific Magnetic Loading*Peripheral Speed of Armature*Turns per Coil*Number of Coils between Adjacent Segments).

Can the Limiting Value of Core Length be negative?

No, the Limiting Value of Core Length, measured in Length cannot be negative.

Which unit is used to measure Limiting Value of Core Length?

Limiting Value of Core Length is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Limiting Value of Core Length can be measured.

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Limiting Value of Core Length Formula

Limiting Value of Core Length Example

Limiting Value of Core Length Solution

Limiting Value of Core Length Formula Elements

Other formulas in DC Machines category

How to Evaluate Limiting Value of Core Length?

FAQs on Limiting Value of Core Length

Variable Name