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Plot and explain the graph for variation in magnetic field due to current through  a  long circular cylinder as we go from a point on the axix of cylinder to apoint lying outside it.
Asked by Topperlearning User | 08 May, 2015, 08:33: AM
answered-by-expert Expert Answer

As we know, the magnetic field due to current through a long circular cylinder, at apoint inside the cylinder is  given as

begin mathsize 11px style straight B space equals space fraction numerator straight mu subscript 0 straight mu subscript straight r Ir over denominator 2 πa squared end fraction space straight i. straight e. space straight B space proportional to space straight r end style

Clearly, the magnetic field inside the wire B=const times r, so it is proportional to r. It is zero for a point on the axis of cylinder, and an increase linearly with increasing distance from the centre of the wire. It is maximum for a point on the surface of cylinder.

On the other hand, the magnetic field outside is given as, begin mathsize 11px style straight B space equals space fraction numerator straight mu subscript 0 space straight I over denominator 2 πr end fraction space space straight i. straight e. space straight B space proportional to space 1 over straight r end style

 

Answered by | 08 May, 2015, 10:33: AM

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