A steady current I flows along an infinitely long hollow cylindrical conductor of radius R. this cylinder is 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):

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In the region 0 < r < R, the magnetic field is non-zero.

In the region R < r < 2R, the magnetic field is along the common axis.

In the region R < r < 2R, the magnetic field is tangential to the circle of radius r, centered on the axis.

In the region r > 2R, the magnetic field is non-zero.

answer is A, D.

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Detailed Solution

The magnetic field of solenoid is non-zero in region from 0 < r < R hence option (A) is correct. In the region between the surface of cylinder and solenoid magnetic field is resultant of the field of solenoid and that due to the hollow cylinder hence it cannot be along the axis hence option (C) is also NOT correct. In outer region r > 2R magnetic field exist due to current in conductor hence option (D) is correct

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