(a) Compute the maximum current that a 16-gauge (1.29-mm diameter) niobium wire can carry at T = 4.2 K. (b) Compare your result in (a) with the copper wire of the same diameter described in Problem 52.
In a normal conductor heat is generated at a rate I 2R. Therefore a current-carrying conductor must dissipate heat effectively or it can melt or overheat the device in which it is used. Consider a long cylindrical copper wire (resistivity 1.72 × 10-8 Ω . m) of diameter 0.75 mm. If the wire can dissipate 80 W/m2 along its surface, what is the maximum current this wire can carry?
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