Volumetric Heat Generation in Current Carrying Electrical Conductor Calculator

✖The Electric current density is the amount of charge per unit of time that flows through the unit area of a chosen cross-section.ⓘ Electric Current Density [i]			+10% -10%
✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%

✖Volumetric Heat Generation it is the amount of energy that must be added, in the form of heat, to one unit of volume of the material in order to cause an increase of one unit in its temperature.ⓘ Volumetric Heat Generation in Current Carrying Electrical Conductor [q_g]

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Formula

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Volumetric Heat Generation in Current Carrying Electrical Conductor

Formula

`"q"_{"g"} = ("i"^2)*"ρ"`

Example

`"17W/m³"=(("1000A/m²")^2)*"0.000017Ω*m"`

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Volumetric Heat Generation in Current Carrying Electrical Conductor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volumetric Heat Generation = (Electric Current Density^2)*Resistivity
q_g = (i^2)*ρ
This formula uses 3 Variables

Variables Used

Volumetric Heat Generation - (Measured in Watt Per Cubic Meter) - Volumetric Heat Generation it is the amount of energy that must be added, in the form of heat, to one unit of volume of the material in order to cause an increase of one unit in its temperature.
Electric Current Density - (Measured in Ampere per Square Meter) - The Electric current density is the amount of charge per unit of time that flows through the unit area of a chosen cross-section.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.

STEP 1: Convert Input(s) to Base Unit

Electric Current Density: 1000 Ampere per Square Meter --> 1000 Ampere per Square Meter No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q_g = (i^2)*ρ --> (1000^2)*1.7E-05

Evaluating ... ...

q_g = 17

STEP 3: Convert Result to Output's Unit

17 Watt Per Cubic Meter --> No Conversion Required

FINAL ANSWER

17 Watt Per Cubic Meter <-- Volumetric Heat Generation

(Calculation completed in 00.020 seconds)

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< 3 Critical Thickness of Insulation Calculators

Critical Radius of Insulation of Hollow Sphere

Go Critical Radius of Insulation = 2*Thermal Conductivity of Insulation/External Convection Heat Transfer Coefficient

Critical Radius of Insulation of Cylinder

Go Critical Radius of Insulation = Thermal Conductivity of Insulation/External Convection Heat Transfer Coefficient

Volumetric Heat Generation in Current Carrying Electrical Conductor

Go Volumetric Heat Generation = (Electric Current Density^2)*Resistivity

< 20 Heat Transfer from Extended Surfaces (Fins), Critical Thickness of Insulation and Thermal Resistance Calculators

Heat Dissipation from Fin Losing Heat at End Tip

Go Fin Heat Transfer Rate = (sqrt(Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area))*(Surface Temperature-Surrounding Temperature)*((tanh((sqrt((Perimeter of Fin*Heat Transfer Coefficient)/(Thermal Conductivity of Fin*Cross Sectional Area)))*Length of Fin)+(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*(sqrt(Perimeter of Fin*Heat Transfer Coefficient/Thermal Conductivity of Fin*Cross Sectional Area)))))/(1+tanh((sqrt((Perimeter of Fin*Heat Transfer Coefficient)/(Thermal Conductivity of Fin*Cross Sectional Area)))*Length of Fin*(Heat Transfer Coefficient)/(Thermal Conductivity of Fin*(sqrt((Perimeter of Fin*Heat Transfer Coefficient)/(Thermal Conductivity of Fin*Cross Sectional Area))))))

Heat Dissipation from Fin Insulated at End Tip

Go Fin Heat Transfer Rate = (sqrt((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)))*(Surface Temperature-Surrounding Temperature)*tanh((sqrt((Perimeter of Fin*Heat Transfer Coefficient)/(Thermal Conductivity of Fin*Cross Sectional Area)))*Length of Fin)

Heat Dissipation from Infinitely Long Fin

Go Fin Heat Transfer Rate = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)

Thermal Resistance for Conduction at Tube Wall

Go Thermal Resistance = (ln(Outer Radius of Cylinder/Inner Radius of Cylinder))/(2*pi*Thermal Conductivity*Length of Cylinder)

Heat Transfer in Fins given Fin Efficiency

Go Fin Heat Transfer Rate = Overall Heat Transfer Coefficient*Area*Fin Efficiency*Overall Difference in Temperature

Newton's Law of Cooling

Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)

Biot Number using Characteristic Length

Go Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin)

Critical Radius of Insulation of Hollow Sphere

Go Critical Radius of Insulation = 2*Thermal Conductivity of Insulation/External Convection Heat Transfer Coefficient

Critical Radius of Insulation of Cylinder

Go Critical Radius of Insulation = Thermal Conductivity of Insulation/External Convection Heat Transfer Coefficient

Correction Length for Cylindrical Fin with Non-Adiabatic Tip

Go Correction Length for Cylindrical Fin = Length of Fin+(Diameter of Cylindrical Fin/4)

Outside Heat Transfer Coefficient given Thermal Resistance

Go External Convection Heat Transfer Coefficient = 1/(Thermal Resistance*Outside Area)

Thermal Resistance for Convection at Outer Surface

Go Thermal Resistance = 1/(External Convection Heat Transfer Coefficient*Outside Area)

Outside Area given Outer Thermal Resistance

Go Outside Area = 1/(External Convection Heat Transfer Coefficient*Thermal Resistance)

Inner Heat Transfer Coefficient given Inner Thermal Resistance

Go Inside Convection Heat Transfer Coefficient = 1/(Inside Area*Thermal Resistance)

Inside Area given Thermal Resistance for Inner Surface

Go Inside Area = 1/(Inside Convection Heat Transfer Coefficient*Thermal Resistance)

Thermal Resistance for Convection at Inner Surface

Go Thermal Resistance = 1/(Inside Area*Inside Convection Heat Transfer Coefficient)

Correction Length for Thin Rectangular Fin with Non-Adiabatic Tip

Go Correction Length for Thin Rectangular Fin = Length of Fin+(Thickness of Fin/2)

Volumetric Heat Generation in Current Carrying Electrical Conductor

Go Volumetric Heat Generation = (Electric Current Density^2)*Resistivity

Total Thermal Resistance

Go Total Thermal Resistance = 1/(Overall Heat Transfer Coefficient*Area)

Correction Length for Square Fin with Non-Adiabatic Tip

Go Correction Length for Sqaure Fin = Length of Fin+(Width of Fin/4)

Volumetric Heat Generation in Current Carrying Electrical Conductor Formula

Volumetric Heat Generation = (Electric Current Density^2)*Resistivity
q_g = (i^2)*ρ

What is Electrical Conductor?

An electrical conductor is a substance in which electrical charge carriers, usually electrons, move easily from atom to atom with the application of voltage.

How to Calculate Volumetric Heat Generation in Current Carrying Electrical Conductor?

Volumetric Heat Generation in Current Carrying Electrical Conductor calculator uses Volumetric Heat Generation = (Electric Current Density^2)*Resistivity to calculate the Volumetric Heat Generation, Volumetric Heat Generation in Current Carrying Electrical Conductor is when heat generated within a material is due to passage of electric current and can be expressed in electrical terms. Volumetric Heat Generation is denoted by q_g symbol.

How to calculate Volumetric Heat Generation in Current Carrying Electrical Conductor using this online calculator? To use this online calculator for Volumetric Heat Generation in Current Carrying Electrical Conductor, enter Electric Current Density (i) & Resistivity (ρ) and hit the calculate button. Here is how the Volumetric Heat Generation in Current Carrying Electrical Conductor calculation can be explained with given input values -> 17 = (1000^2)*1.7E-05.

FAQ

What is Volumetric Heat Generation in Current Carrying Electrical Conductor?

Volumetric Heat Generation in Current Carrying Electrical Conductor is when heat generated within a material is due to passage of electric current and can be expressed in electrical terms and is represented as q_g = (i^2)*ρ or Volumetric Heat Generation = (Electric Current Density^2)*Resistivity. The Electric current density is the amount of charge per unit of time that flows through the unit area of a chosen cross-section & Resistivity is the measure of how strongly a material opposes the flow of current through them.

How to calculate Volumetric Heat Generation in Current Carrying Electrical Conductor?

Volumetric Heat Generation in Current Carrying Electrical Conductor is when heat generated within a material is due to passage of electric current and can be expressed in electrical terms is calculated using Volumetric Heat Generation = (Electric Current Density^2)*Resistivity. To calculate Volumetric Heat Generation in Current Carrying Electrical Conductor, you need Electric Current Density (i) & Resistivity (ρ). With our tool, you need to enter the respective value for Electric Current Density & Resistivity 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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