Q.

A long, straight, hollow conductor (tube) carrying a current has two sections A and C of unequal cross-section joined by a conical section B. 1, 2 and 3 are points on a line parallel to the axis of the conductor. The magnetic fields at 1, 2 and 3 have magnitudes B1 , B2 and B3 . Then

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a

B1 = B2 = B3

b

B1=B2≠B3

c

B1

d

B2 cannot be found unless the dimensions of the section B are known

answer is A.

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Detailed Solution

To find the magnetic field outside a thick conductor, the current may be assumed to flow along the axis. As points 1, 2, 3 are equidistant from the axis, B1 = B2 = B3
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A long, straight, hollow conductor (tube) carrying a current has two sections A and C of unequal cross-section joined by a conical section B. 1, 2 and 3 are points on a line parallel to the axis of the conductor. The magnetic fields at 1, 2 and 3 have magnitudes B1 , B2 and B3 . Then