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.

For the cylindrical system of con- ductors shown to the right, the cen- tral wire carries a current I out of the page while the two outer con- ducting shells each carryinto the page. Compute the magnetic field in region II between the two shells wire Air Select One of the Following: (a) B11 = Hol. (b) Bul -M counterclockwise Po clockwise x 7 counterclockwise 4 r2 (d) B-0 (e) Bi-=- (f) Bu = Hot (g) B11 = 01 (h) // = 5H01 (i) // = 5Hof counterclockwise clockwise counterclockwise Grr counterclockwise clockwise

Explanation / Answer

from amperes law

integrationB*ds = uo*Ienclosed

consider a circle at radial distance r, c < r < b in the III region

ds = 2*pi*r

B*2*pi*r = uo*(I - I/3)

B = 2*uo*I/6*pi*r)

B = uo*I/(3*pi*r) CLOCKWISE <<----answer

OPTION (b)

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