Operating Frequency Calculator

✖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 [ρ]			+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%

✖Frequency of induction furnace is the operating frequency of coreless induction furnace.ⓘ Operating Frequency [f_furnace]

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Operating Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Frequency of Induction Furnace - (Measured in Hertz) - Frequency of induction furnace is the operating frequency of coreless induction furnace.
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.
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

Specific Resistance: 113.59 Microhm Centimeter --> 1.1359E-06 Ohm Meter (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

f_furnace = (ρ*10^9)/(4*pi^2*t_c^2*μ_r) --> (1.1359E-06*10^9)/(4*pi^2*0.106^2*0.9)

Evaluating ... ...

f_furnace = 2845.28728341767

STEP 3: Convert Result to Output's Unit

2845.28728341767 Hertz -->2.84528728341767 Kilohertz (Check conversion here)

FINAL ANSWER

2.84528728341767 ≈ 2.845287 Kilohertz <-- Frequency of Induction Furnace

(Calculation completed in 00.004 seconds)

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Created by Nisarg

Indian Institute of Technology,Roorlee (IITR), Roorkee

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Chandigarh University (CU), Punjab

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< Furnace Heating Calculators

Heat Conduction

LaTeX 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

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

Heat Radiation

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

Energy Efficiency

LaTeX Go Energy Efficiency = Theoretical Energy/Actual Energy

Operating Frequency Formula

LaTeX Go

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

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 Operating Frequency?

Operating Frequency calculator uses Frequency of Induction Furnace = (Specific Resistance*10^9)/(4*pi^2*Thickness of Cylinder^2*Relative Permeability) to calculate the Frequency of Induction Furnace, The Operating Frequency formula is defined as the frequency used to drive the coreless induction furnace. Frequency of Induction Furnace is denoted by f_furnace symbol.

How to calculate Operating Frequency using this online calculator? To use this online calculator for Operating Frequency, enter Specific Resistance (ρ), Thickness of Cylinder (t_c) & Relative Permeability (μ_r) and hit the calculate button. Here is how the Operating Frequency calculation can be explained with given input values -> 0.002845 = (1.1359E-06*10^9)/(4*pi^2*0.106^2*0.9).

FAQ

What is Operating Frequency?

The Operating Frequency formula is defined as the frequency used to drive the coreless induction furnace and is represented as f_furnace = (ρ*10^9)/(4*pi^2*t_c^2*μ_r) or Frequency of Induction Furnace = (Specific Resistance*10^9)/(4*pi^2*Thickness of Cylinder^2*Relative Permeability). 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, 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 Operating Frequency?

The Operating Frequency formula is defined as the frequency used to drive the coreless induction furnace is calculated using Frequency of Induction Furnace = (Specific Resistance*10^9)/(4*pi^2*Thickness of Cylinder^2*Relative Permeability). To calculate Operating Frequency, you need Specific Resistance (ρ), Thickness of Cylinder (t_c) & Relative Permeability (μ_r). With our tool, you need to enter the respective value for Specific Resistance, 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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