Equivalent Inductance of Furnace Calculator

✖Number of Coil Turns represent the number of turns.ⓘ Number of Coil Turns [N_coil]			+10% -10%
✖Diameter of melt used in induction furnace.ⓘ Diameter of Melt [D_melt]			+10% -10%
✖Height of melt used in coreless induction furnace.ⓘ Height of Melt [H_melt]			+10% -10%

✖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.ⓘ Equivalent Inductance of Furnace [L]

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Formula

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Equivalent Inductance of Furnace

Formula

`"L" = (pi*4*pi*10^-7*"N"_{"coil"}^2*"D"_{"melt"}^2)/(4*"H"_{"melt"})`

Example

`"38.19537μH"=(pi*4*pi*10^-7*("24")^2*("10.75cm")^2)/(4*"17.20cm")`

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Equivalent Inductance of Furnace Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inductance = (pi*4*pi*10^-7*Number of Coil Turns^2*Diameter of Melt^2)/(4*Height of Melt)
L = (pi*4*pi*10^-7*N_coil^2*D_melt^2)/(4*H_melt)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Inductance - (Measured in Henry) - 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.
Number of Coil Turns - Number of Coil Turns represent the number of turns.
Diameter of Melt - (Measured in Meter) - Diameter of melt used in induction furnace.
Height of Melt - (Measured in Meter) - Height of melt used in coreless induction furnace.

STEP 1: Convert Input(s) to Base Unit

Number of Coil Turns: 24 --> No Conversion Required
Diameter of Melt: 10.75 Centimeter --> 0.1075 Meter (Check conversion here)
Height of Melt: 17.2 Centimeter --> 0.172 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (pi*4*pi*10^-7*N_coil^2*D_melt^2)/(4*H_melt) --> (pi*4*pi*10^-7*24^2*0.1075^2)/(4*0.172)

Evaluating ... ...

L = 3.81953690322158E-05

STEP 3: Convert Result to Output's Unit

3.81953690322158E-05 Henry -->38.1953690322158 Microhenry (Check conversion here)

FINAL ANSWER

38.1953690322158 ≈ 38.19537 Microhenry <-- Inductance

(Calculation completed in 00.004 seconds)

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Indian Institute of Technology,Roorlee (IITR), Roorkee

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< 8 Furnace Heating Calculators

Heat Conduction

Go Heat Conduction = (Thermal Conductivity*Area of Furnace*Total Time*(Temperature of Wall 1-Temperature of Wall 2))/Thickness of Wall

Energy Required by Furnace to Melt Steel

Go Energy = (Mass*Specific Heat*(Temperature of Wall 2-Temperature of Wall 1))+(Mass*Latent Heat)

Thickness of Cylinder

Go Thickness of Cylinder = 1/(2*pi)*sqrt((Specific Resistance*10^9)/(Relative Permeability*Frequency of Induction Furnace))

Equivalent Inductance of Furnace

Go Inductance = (pi*4*pi*10^-7*Number of Coil Turns^2*Diameter of Melt^2)/(4*Height of Melt)

Heat Radiation

Go Heat Radiation = 5.72*Emissivity*Radiating Efficiency*((Temperature of Wall 1/100)^4-(Temperature of Wall 2/100)^4)

Operating Frequency

Go Frequency of Induction Furnace = (Specific Resistance*10^9)/(4*pi^2*Thickness of Cylinder^2*Relative Permeability)

Specific Resistance using Operating Frequency

Go Specific Resistance = (Frequency of Induction Furnace*4*pi^2*Thickness of Cylinder^2*Relative Permeability)/10^9

Energy Efficiency

Go Energy Efficiency = Theoretical Energy/Actual Energy

Equivalent Inductance of Furnace Formula

Inductance = (pi*4*pi*10^-7*Number of Coil Turns^2*Diameter of Melt^2)/(4*Height of Melt)
L = (pi*4*pi*10^-7*N_coil^2*D_melt^2)/(4*H_melt)

How induction heating works?

Induction heating is based on four
physical phenomena: (i) production of electromagnetic field due to alternating currents in the working coil, (ii) the resultant induced e.m.f. in the work piece, (iii) production of heat in the work piece due to resistive losses, and (iv) the heat diffusion from hotter to colder parts.

How to Calculate Equivalent Inductance of Furnace?

Equivalent Inductance of Furnace calculator uses Inductance = (pi*4*pi*10^-7*Number of Coil Turns^2*Diameter of Melt^2)/(4*Height of Melt) to calculate 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 calculate Equivalent Inductance of Furnace using this online calculator? To use this online calculator 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. Here is how the Equivalent Inductance of Furnace calculation can be explained with given input values -> 3.8E+7 = (pi*4*pi*10^-7*24^2*0.1075^2)/(4*0.172).

FAQ

What is Equivalent Inductance of Furnace?

The Equivalent inductance of furnace formula is defined as the overall inductance of the coreless induction furnace and is represented as L = (pi*4*pi*10^-7*N_coil^2*D_melt^2)/(4*H_melt) or Inductance = (pi*4*pi*10^-7*Number of Coil Turns^2*Diameter of Melt^2)/(4*Height of Melt). Number of Coil Turns represent the number of turns, Diameter of melt used in induction furnace & Height of melt used in coreless induction furnace.

How to calculate Equivalent Inductance of Furnace?

The Equivalent inductance of furnace formula is defined as the overall inductance of the coreless induction furnace is calculated using Inductance = (pi*4*pi*10^-7*Number of Coil Turns^2*Diameter of Melt^2)/(4*Height of Melt). To calculate Equivalent Inductance of Furnace, you need Number of Coil Turns (N_coil), Diameter of Melt (D_melt) & Height of Melt (H_melt). With our tool, you need to enter the respective value for Number of Coil Turns, Diameter of Melt & Height of Melt and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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