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A cylinderical cavity of diameter a exis...

A cylinderical cavity of diameter a exists inside a cylinder of diameter 2a as shown in the figure. Both the cylinder and the cavity are infinitely long. A uniform current density J flows along the length. If the magnitude of the magnetic field at the point P is given by `(N)/(12)mu_(0)aJ`, then the value of N is

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The correct Answer is:
5
`B_(1)=(mu_(0)Ja)/2-(mu_(0)Ja)/12`
`=((mu_(0)Ja)/2)(1-1/6)=5/6((mu_(0)Ja)/2)=(5mu_(0)Ja)/12=N/12mu_(0)aJ`
`=5`
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