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Q.

A current i is uniformly distributed over the cross section of a long hollow cylindrical wire of inner radius R1, and outer radius R2. Magnetic field B varies with distance r from the axis of the cylinder as

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a

b

c

d

answer is B.

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Detailed Solution

Using Ampere's circuital law, B - 0 forr≤R1B=μ0i2πR22-R12r2-R12r for R1≤r≤R2 and B=μ02πir for r≥R2  The corresponding B-r graph will be as shown in option (2).
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A current i is uniformly distributed over the cross section of a long hollow cylindrical wire of inner radius R1, and outer radius R2. Magnetic field B varies with distance r from the axis of the cylinder as