Magnetic field due to currentHard

Question

A coil having N turns is wound tightly in the form of a sprial with inner and outer radii a and b respectively. When a current I passes through the coil, the magnetic field at centre is

Options

A.
B.
C.
D.

Solution

Consider an elements of thickness dr at a distance r from the centre. The number of turns in this elements,
     dN =
Magnetic dield due to this element at the centre of the coil will be
      

∴    =

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