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A cylindrical, 2-mm-diameter and 10-m-long electrical wire is wrapped with a 1- mm-thick plastic cover (see figure) for electrical insulation. The wire material is a
A cylindrical, 2-mm-diameter and 10-m-long electrical wire is wrapped with a 1- mm-thick plastic cover (see figure) for electrical insulation. The wire material is a low thermal conductivity copper alloy (ke - 8 W/m K). In normal operation, a current 1 - 2 A will pass through the wire with a total voltage drop AV = 40 V along the wire. The thermal energy liberated by Joule heating per unit time and volume is uniform throughout the wire and given by E, V V. where Vo is the total volume of copper wire (recall that I W = 1 V x 1 A). Heat transfer to the surrounding air (T. = 20 C) is by convection with h = 75 W/mK. 1. Find the steady-state temperature profile in the copper alloy wire (r
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