JEE Advanced | 2013Magnetic field due to currentHard

Question

A steady current I flows along an infinitely long hollow cylindrical conductor of radius R. This cylinderis placed coaxially inside an infinite solenoid of radius 2R. The solenoid has n turns per unit length and carries a steady current I. Consider a point P at a distance r from the common axis. The correct statement(s) is (are) :-

Options

A.In the region 0 < r < R, the magnetic field is non-zero
B.In the region R < r < 2R, the magnetic field is along the common axis
C.In the region R < r < 2R, the magnetic field is tangential to the circle of radius r, centred onthe axis
D.In the region r > 2R, the magnetic field is non-zero

Solution

      

At any point
for 0 < r < R       

for R < r < 2R      

and
and along the axis
So net magnetic field neither along axis nor tangential to the given circle in option (C)
For r > 2R   
due to both objects are not zero and ⏊ to each other so net B will not be zero.


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