The cylindrical system of conductors shown to the right is composed of three con

Question

The cylindrical system of conductors shown to the right is composed of three conductors A, B, and C. The center conductor, A, carries a current I out of the page which is distributed uniformly over its radius a. This current returns in the two outer conductors. The conductors B and C each carry a current I/2 into the page and are infinitely thin. Compute the magnitude of the magnetic field in region II. Select One of the Following: 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: The wire below carries a current of 2A from left to right. What is the direction of the magnetic field at point P? Select One of the Following:

Explanation / Answer

11.6 ) magnetic field due to A = I/2pia^2 downwards

magnetic field due to B =  (I/2)/2pia^2 upwards

magnetic field due to C =  (I/2)/2pia^2 upwards

so net magnetic field =  I/2pia^2 -  (I/2)/2pia^2 - (I/2)/2pia^2 = 0

so option (a) is correct

11.7 B = oIN/L

15 = 4pi*10^-7* I * 200/0.15

I = 88357 A = 8.83*10^5 A = 8.9 *10^5 A

so option e is correct

11.8 ) anser would be a) +z direction

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