Engineering
Physics
Amperes Circuital Law and its Applications
Question

A hollow cylindrical conductor (inner radius a, outer radius b) carries a current i uniformly spread over its cross-section. Which graph below correctly gives B (magnetic field) as a function of the distance r from the centre of the cylinder?

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Solution

B × 2πx = µ0 Jπ(x2 – a2)

B=µ0J2(x−a2x)