Volumetric Heat Generation in Current Carrying Electrical Conductor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volumetric Heat Generation = (Electric Current Density^2)*Resistivity
qg = (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
qg = (i^2)*ρ --> (1000^2)*1.7E-05
Evaluating ... ...
qg = 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 00.004 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
qg = (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 qg 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 qg = (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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