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Equivalent Inductance of Furnace Formula

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Inductance is the property of an electric conductor or circuit that causes an electromotive force to be generated by a change in the current flowing. Check FAQs

L = \frac{π \cdot 4 \cdot π \cdot 10^{- 7} \cdot {N coil}^{2} \cdot {D melt}^{2}}{4 \cdot H melt}

L - Inductance?N_coil - Number of Coil Turns?D_melt - Diameter of Melt?H_melt - Height of Melt?π - Archimedes' constant?

Equivalent Inductance of Furnace Example

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Here is how the Equivalent Inductance of Furnace equation looks like with Values.

Here is how the Equivalent Inductance of Furnace equation looks like with Units.

Here is how the Equivalent Inductance of Furnace equation looks like.

38.1954 = \frac{3.1416 \cdot 4 \cdot 3.1416 \cdot 10^{- 7} \cdot 24^{2} \cdot {10.75}^{2}}{4 \cdot 17.2}

38.1954μH = \frac{3.1416 \cdot 4 \cdot 3.1416 \cdot 10^{- 7} \cdot 24^{2} \cdot {10.75cm}^{2}}{4 \cdot 17.2cm}

38.1954 = \frac{3.1416 \cdot 4 \cdot 3.1416 \cdot 10^{- 7} \cdot 24^{2} \cdot {10.75}^{2}}{4 \cdot 17.2}

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Equivalent Inductance of Furnace Solution

Follow our step by step solution on how to calculate Equivalent Inductance of Furnace?

FIRST Step Consider the formula

L = \frac{π \cdot 4 \cdot π \cdot 10^{- 7} \cdot {N coil}^{2} \cdot {D melt}^{2}}{4 \cdot H melt}

Next Step Substitute values of Variables

∴

L = \frac{π \cdot 4 \cdot π \cdot 10^{- 7} \cdot 24^{2} \cdot {10.75cm}^{2}}{4 \cdot 17.2cm}

Next Step Substitute values of Constants

∴

L = \frac{3.1416 \cdot 4 \cdot 3.1416 \cdot 10^{- 7} \cdot 24^{2} \cdot {10.75cm}^{2}}{4 \cdot 17.2cm}

Next Step Convert Units

∴

L = \frac{3.1416 \cdot 4 \cdot 3.1416 \cdot 10^{- 7} \cdot 24^{2} \cdot {0.1075m}^{2}}{4 \cdot 0.172m}

Next Step Prepare to Evaluate

∴

L = \frac{3.1416 \cdot 4 \cdot 3.1416 \cdot 10^{- 7} \cdot 24^{2} \cdot {0.1075}^{2}}{4 \cdot 0.172}

Next Step Evaluate

∴

L = 3.81953690322158E-05H

Next Step Convert to Output's Unit

∴

L = 38.1953690322158μH

LAST Step Rounding Answer

∴

L = 38.1954μH

Equivalent Inductance of Furnace Formula Elements

Variables

Constants

Inductance

Inductance is the property of an electric conductor or circuit that causes an electromotive force to be generated by a change in the current flowing.

Symbol: L

Measurement: InductanceUnit: μH

Note: Value should be greater than 0.

Formulas to find Inductance

Number of Coil Turns

Number of Coil Turns represent the number of turns.

Symbol: N_coil

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Coil Turns

Diameter of Melt

Diameter of melt used in induction furnace.

Symbol: D_melt

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Diameter of Melt

Height of Melt

Height of melt used in coreless induction furnace.

Symbol: H_melt

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Height of Melt

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 Furnace Heating category

Go Heat Conduction

Q = \frac{k \cdot A furnace \cdot T total \cdot (T 1 - T 2)}{t w}

Go Heat Radiation

H = 5.72 \cdot e \cdot K \cdot ({(\frac{T 1}{100})}^{4} - {(\frac{T 2}{100})}^{4})

Go Energy Required by Furnace to Melt Steel

E = (m \cdot S heat \cdot (T 2 - T 1)) + (m \cdot L heat)

Go Energy Efficiency

η = \frac{E t}{E a}

How to Evaluate Equivalent Inductance of Furnace?

Equivalent Inductance of Furnace evaluator uses Inductance = (pi*4*pi*10^-7*Number of Coil Turns^2*Diameter of Melt^2)/(4*Height of Melt) to evaluate the Inductance, The Equivalent inductance of furnace formula is defined as the overall inductance of the coreless induction furnace. Inductance is denoted by L symbol.

How to evaluate Equivalent Inductance of Furnace using this online evaluator? To use this online evaluator for Equivalent Inductance of Furnace, enter Number of Coil Turns (N_coil), Diameter of Melt (D_melt) & Height of Melt (H_melt) and hit the calculate button.

FAQs on Equivalent Inductance of Furnace

What is the formula to find Equivalent Inductance of Furnace?

The formula of Equivalent Inductance of Furnace is expressed as Inductance = (pi*4*pi*10^-7*Number of Coil Turns^2*Diameter of Melt^2)/(4*Height of Melt). Here is an example- 3.8E+7 = (pi*4*pi*10^-7*24^2*0.1075^2)/(4*0.172).

How to calculate Equivalent Inductance of Furnace?

With Number of Coil Turns (N_coil), Diameter of Melt (D_melt) & Height of Melt (H_melt) we can find Equivalent Inductance of Furnace using the formula - Inductance = (pi*4*pi*10^-7*Number of Coil Turns^2*Diameter of Melt^2)/(4*Height of Melt). This formula also uses Archimedes' constant .

Can the Equivalent Inductance of Furnace be negative?

No, the Equivalent Inductance of Furnace, measured in Inductance cannot be negative.

Which unit is used to measure Equivalent Inductance of Furnace?

Equivalent Inductance of Furnace is usually measured using the Microhenry[μH] for Inductance. Henry[μH], Millihenry[μH] are the few other units in which Equivalent Inductance of Furnace can be measured.

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Equivalent Inductance of Furnace Formula

Equivalent Inductance of Furnace Example

Equivalent Inductance of Furnace Solution

Equivalent Inductance of Furnace Formula Elements

Other formulas in Furnace Heating category

How to Evaluate Equivalent Inductance of Furnace?

FAQs on Equivalent Inductance of Furnace

Variable Name