Specific Resistance using Operating Frequency Calculator

✖Frequency of induction furnace is the operating frequency of coreless induction furnace.ⓘ Frequency of Induction Furnace [f_furnace]			+10% -10%
✖Thickness Of Cylinder is the length of the cylinder used.ⓘ Thickness of Cylinder [t_c]			+10% -10%
✖Relative permeability is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum.ⓘ Relative Permeability [μ_r]			+10% -10%

✖Specific resistance is also known as resisitivity. The resistivity of a material is the resistance of a wire of that material of unit length and unit area of cross-section.ⓘ Specific Resistance using Operating Frequency [ρ]

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Formula

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Specific Resistance using Operating Frequency

Formula

`"ρ" = ("f"_{"furnace"}*4*pi^2*"t"_{"c"}^2*"μ"_{"r"})/10^9`

Example

`"113.3789μΩ*cm"=("2.84kHz"*4*pi^2*("10.60cm")^2*"0.9")/10^9`

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Specific Resistance using Operating Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Specific Resistance = (Frequency of Induction Furnace*4*pi^2*Thickness of Cylinder^2*Relative Permeability)/10^9
ρ = (f_furnace*4*pi^2*t_c^2*μ_r)/10^9
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Specific Resistance - (Measured in Ohm Meter) - Specific resistance is also known as resisitivity. The resistivity of a material is the resistance of a wire of that material of unit length and unit area of cross-section.
Frequency of Induction Furnace - (Measured in Hertz) - Frequency of induction furnace is the operating frequency of coreless induction furnace.
Thickness of Cylinder - (Measured in Meter) - Thickness Of Cylinder is the length of the cylinder used.
Relative Permeability - Relative permeability is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum.

STEP 1: Convert Input(s) to Base Unit

Frequency of Induction Furnace: 2.84 Kilohertz --> 2840 Hertz (Check conversion here)
Thickness of Cylinder: 10.6 Centimeter --> 0.106 Meter (Check conversion here)
Relative Permeability: 0.9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = (f_furnace*4*pi^2*t_c^2*μ_r)/10^9 --> (2840*4*pi^2*0.106^2*0.9)/10^9

Evaluating ... ...

ρ = 1.13378920251774E-06

STEP 3: Convert Result to Output's Unit

1.13378920251774E-06 Ohm Meter -->113.378920251774 Microhm Centimeter (Check conversion here)

FINAL ANSWER

113.378920251774 ≈ 113.3789 Microhm Centimeter <-- Specific Resistance

(Calculation completed in 00.004 seconds)

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Created by Parminder Singh

Chandigarh University (CU), Punjab

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GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

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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

Specific Resistance using Operating Frequency Formula

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

What is the frequency of supply used in core type induction furnace?

Core type induction furnaces typically operate at high frequencies, typically ranging from 50 Hz to 10 kHz. However, the specific frequency used in a core type induction furnace depends on various factors, including the size and type of the furnace and the materials being heated.

Lower frequency induction furnaces (around 50-60 Hz) are commonly used for larger capacity applications, such as melting or heating of metals in foundries. These furnaces are often referred to as mains frequency or line frequency induction furnaces.

Higher frequency induction furnaces (in the range of a few kHz) are used for smaller capacity applications, such as laboratory or specialized heating processes. These higher frequency furnaces offer advantages like more precise control and enhanced heating efficiency for specific materials.

How to Calculate Specific Resistance using Operating Frequency?

Specific Resistance using Operating Frequency calculator uses Specific Resistance = (Frequency of Induction Furnace*4*pi^2*Thickness of Cylinder^2*Relative Permeability)/10^9 to calculate the Specific Resistance, The Specific Resistance using Operating Frequency formula is a property that characterizes the electrical conductivity of a material. It is defined as the resistance between opposite faces of a unit cube of the material. While resistivity is relevant for conductive materials, dielectric heating predominantly occurs in insulating materials where resistivity is very high. Specific Resistance is denoted by ρ symbol.

How to calculate Specific Resistance using Operating Frequency using this online calculator? To use this online calculator for Specific Resistance using Operating Frequency, enter Frequency of Induction Furnace (f_furnace), Thickness of Cylinder (t_c) & Relative Permeability (μ_r) and hit the calculate button. Here is how the Specific Resistance using Operating Frequency calculation can be explained with given input values -> 1.1E+10 = (2840*4*pi^2*0.106^2*0.9)/10^9.

FAQ

What is Specific Resistance using Operating Frequency?

The Specific Resistance using Operating Frequency formula is a property that characterizes the electrical conductivity of a material. It is defined as the resistance between opposite faces of a unit cube of the material. While resistivity is relevant for conductive materials, dielectric heating predominantly occurs in insulating materials where resistivity is very high and is represented as ρ = (f_furnace*4*pi^2*t_c^2*μ_r)/10^9 or Specific Resistance = (Frequency of Induction Furnace*4*pi^2*Thickness of Cylinder^2*Relative Permeability)/10^9. Frequency of induction furnace is the operating frequency of coreless induction furnace, Thickness Of Cylinder is the length of the cylinder used & Relative permeability is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum.

How to calculate Specific Resistance using Operating Frequency?

The Specific Resistance using Operating Frequency formula is a property that characterizes the electrical conductivity of a material. It is defined as the resistance between opposite faces of a unit cube of the material. While resistivity is relevant for conductive materials, dielectric heating predominantly occurs in insulating materials where resistivity is very high is calculated using Specific Resistance = (Frequency of Induction Furnace*4*pi^2*Thickness of Cylinder^2*Relative Permeability)/10^9. To calculate Specific Resistance using Operating Frequency, you need Frequency of Induction Furnace (f_furnace), Thickness of Cylinder (t_c) & Relative Permeability (μ_r). With our tool, you need to enter the respective value for Frequency of Induction Furnace, Thickness of Cylinder & Relative Permeability 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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