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Specific Resistance using Operating Frequency Formula

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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. Check FAQs

ρ = \frac{f furnace \cdot 4 \cdot π^{2} \cdot {t c}^{2} \cdot μ r}{10^{9}}

ρ - Specific Resistance?f_furnace - Frequency of Induction Furnace?t_c - Thickness of Cylinder?μ_r - Relative Permeability?π - Archimedes' constant?

Specific Resistance using Operating Frequency Example

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Here is how the Specific Resistance using Operating Frequency equation looks like with Values.

Here is how the Specific Resistance using Operating Frequency equation looks like with Units.

Here is how the Specific Resistance using Operating Frequency equation looks like.

113.3789 = \frac{2.84 \cdot 4 \cdot {3.1416}^{2} \cdot {10.6}^{2} \cdot 0.9}{10^{9}}

113.3789μΩ*cm = \frac{2.84kHz \cdot 4 \cdot {3.1416}^{2} \cdot {10.6cm}^{2} \cdot 0.9}{10^{9}}

113.3789 = \frac{2.84 \cdot 4 \cdot {3.1416}^{2} \cdot {10.6}^{2} \cdot 0.9}{10^{9}}

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Specific Resistance using Operating Frequency Solution

Follow our step by step solution on how to calculate Specific Resistance using Operating Frequency?

FIRST Step Consider the formula

ρ = \frac{f furnace \cdot 4 \cdot π^{2} \cdot {t c}^{2} \cdot μ r}{10^{9}}

Next Step Substitute values of Variables

∴

ρ = \frac{2.84kHz \cdot 4 \cdot π^{2} \cdot {10.6cm}^{2} \cdot 0.9}{10^{9}}

Next Step Substitute values of Constants

∴

ρ = \frac{2.84kHz \cdot 4 \cdot {3.1416}^{2} \cdot {10.6cm}^{2} \cdot 0.9}{10^{9}}

Next Step Convert Units

∴

ρ = \frac{2840Hz \cdot 4 \cdot {3.1416}^{2} \cdot {0.106m}^{2} \cdot 0.9}{10^{9}}

Next Step Prepare to Evaluate

∴

ρ = \frac{2840 \cdot 4 \cdot {3.1416}^{2} \cdot {0.106}^{2} \cdot 0.9}{10^{9}}

Next Step Evaluate

∴

ρ = 1.13378920251774E-06Ω*m

Next Step Convert to Output's Unit

∴

ρ = 113.378920251774μΩ*cm

LAST Step Rounding Answer

∴

ρ = 113.3789μΩ*cm

Specific Resistance using Operating Frequency Formula Elements

Variables

Constants

Specific Resistance

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.

Symbol: ρ

Measurement: Electric ResistivityUnit: μΩ*cm

Note: Value should be greater than 0.

Formulas to find Specific Resistance

Frequency of Induction Furnace

Frequency of induction furnace is the operating frequency of coreless induction furnace.

Symbol: f_furnace

Measurement: FrequencyUnit: kHz

Note: Value should be greater than 0.

Formulas to find Frequency of Induction Furnace

Thickness of Cylinder

Thickness Of Cylinder is the length of the cylinder used.

Symbol: t_c

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Thickness of Cylinder

Relative Permeability

Relative permeability is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum.

Symbol: μ_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Relative Permeability

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 Specific Resistance using Operating Frequency?

Specific Resistance using Operating Frequency evaluator uses Specific Resistance = (Frequency of Induction Furnace*4*pi^2*Thickness of Cylinder^2*Relative Permeability)/10^9 to evaluate 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 evaluate Specific Resistance using Operating Frequency using this online evaluator? To use this online evaluator 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.

FAQs on Specific Resistance using Operating Frequency

What is the formula to find Specific Resistance using Operating Frequency?

The formula of Specific Resistance using Operating Frequency is expressed as Specific Resistance = (Frequency of Induction Furnace*4*pi^2*Thickness of Cylinder^2*Relative Permeability)/10^9. Here is an example- 1.1E+10 = (2840*4*pi^2*0.106^2*0.9)/10^9.

How to calculate Specific Resistance using Operating Frequency?

With Frequency of Induction Furnace (f_furnace), Thickness of Cylinder (t_c) & Relative Permeability (μ_r) we can find Specific Resistance using Operating Frequency using the formula - Specific Resistance = (Frequency of Induction Furnace*4*pi^2*Thickness of Cylinder^2*Relative Permeability)/10^9. This formula also uses Archimedes' constant .

Can the Specific Resistance using Operating Frequency be negative?

No, the Specific Resistance using Operating Frequency, measured in Electric Resistivity cannot be negative.

Which unit is used to measure Specific Resistance using Operating Frequency?

Specific Resistance using Operating Frequency is usually measured using the Microhm Centimeter[μΩ*cm] for Electric Resistivity. Ohm Meter[μΩ*cm], Ohm Centimeter[μΩ*cm], Ohm Inch[μΩ*cm] are the few other units in which Specific Resistance using Operating Frequency can be measured.

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Specific Resistance using Operating Frequency Formula

Specific Resistance using Operating Frequency Example

Specific Resistance using Operating Frequency Solution

Specific Resistance using Operating Frequency Formula Elements

Other formulas in Furnace Heating category

How to Evaluate Specific Resistance using Operating Frequency?

FAQs on Specific Resistance using Operating Frequency

Variable Name