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A cylindrical cavity of diameter a exist...

A cylindrical cavity of diameter a exists inside a cylinder of diameter `2a` as shown in the figure. Both the cylinder and the cavity are infinitity 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

Text Solution

Verified by Experts

The correct Answer is:
`5`
`B_(p) = (mu_(0)Ja)/(2) - (mu_(0)Jpi((a)/(2))^(2))/(2pi(3a)/(2)) =(mu_(0)Ja)/(2)[1-(1)/(6)]=(5mu_(0)Ja)/(12)`
`:. N= 5` .
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