Question

A superconducting solenoid is wound with 200 turns of niobium-titanium wire over a length of 15cm. The wire ceases to be superconducting at a field of 15T. How much current must be run through the solenoid to produce the 15T field? Approximate the solenoid as infinite. Select One of the Following: I = 9.0 Times 10^3 A I = 3.0 Times 10^4 A I = 6.0 Times 10^4 A I = 1.1 Times 10^5 A

Answer 1

here,

number of turns , N = 200

length of wire , L = 0.15 m

magnetic feild , B = 15 T

let the current throug solenoid be i

B = u0 * N*i/L

15 = 1.26 * 10^-6 * 200 * i/0.15

i = 9 * 10^3 A

the current through the solenoid must be (a) 9 * 10^3 A