Problem 5: The magnetic field strength in a long superconducting solenoid buried underground in Switzerland is...
Problem 5: The magnetic field strength in a long superconducting solenoid buried underground in Switzerland is 15:0 T. The cross sectional area of the solenoid is 3.0x10^-4 m^2 ; and its length is approximately 40 km. If a loss of cooling allows the superconducting wires to suddenly become normal, so that B drops to zero, how much energy will be released as heat?
Homework Answers
A =3*10^-4 m^2, B =15 T, L =40 km, uo = 4pi*10^-7 T.m/A
energy density u = B^2/2uo
U/V = B^2/2uo
U/(3*10^-4*40000) = (15*15)/(2*4*3.14*10^-7)
U = 1.075*10^9 J
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