One problem with some of the newer high-temperature superconductors is getting a

Question

One problem with some of the newer high-temperature superconductors is getting a large enough current density for practical use without causing the resistance to reappear. The maximum current density for which the material will remain a superconductor is called the critical current density of the material, In 1987, IBM research labs had produced thin films with critical current densities of 1.0 times 10^5 A/cm^2. Part B Researchers are trying to develop superconductors with critical current densities of 1.0 times 10^6 A/cm^2. What diameter cylindrical wire of such a material would be needed to carry 1000 A without losing its superconductivity?

Explanation / Answer

area = current/current density

= 1000/10^6 = 0.001 cm^2

pi d^2/4 = 0.001

d = sqrt(0.001*4/pi)

= 0.0356 cm = 0.36 mm

= 0.36 mm answer

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