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Question

A long straight wire of radius a carries a steady current i. The current is uniformly distributed across its cross section. The ratio of the magnetic field at a2 and 2a from its axis is 


Solution

For a point inside the solid cylinder,
Bins=μoir2πa2
at r=a2B1=μoi4πa
For a point outside the solid cylinder
Bout=μoi2πr
At r=2aB2=μoi4πaB1B2=1

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