### Heat Loss Insulated Electric Wire Equations and Calculator

Heat Loss From an Insulated Electric Wire Equation and Calculator:

Assumptions:

1 Heat transfer is steady since there is no indication of any change with time.
2 Heat transfer is one-dimensional since there is thermal symmetry about the centerline and no variation in the axial direction.
3 Thermal conductivities are constant.
4 The thermal contact resistance at the interface is negligible.
5 Heat transfer coefficient incorporates the radiation effects, if any.

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Area of wire

Conduction resistance for the plastic cover and a convection resistance for the outer surface in series

Total Conduction Resistance

Interface temperature

Critical radius of insulation of the plastic cover.

Where:

Q = Heat Steady State Transfer (W)
A = Area (m2)
L = Length (m)
V = Voltage (v)
I = Amperage (amps)
k = Thermal Conductivity (W/m · °C)
T∞n = Temperature (°C)
Tn = Temperature (°C)
hn = Heat Transfer Coefficient (W/m2 · °C)
Rconv = Thermal Resistance (°C/W)
Rplastic = Thermal Resistance Glass (°C/W)