Magnetics 2 Question 18

18. 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) (2013 Adv.)

(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, centered on the axis

(d) In the region r>2R, the magnetic field is non-zero

Integer Answer Type Questions

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Answer:

Correct Answer: 18. (b)

Solution:

P Hollow cylindrical conductor Q Solenoid

In the region, 0<r<R

BP=0,

BQ0, along the axis

Bnet 0 In the region, R<r<2R

BP0, tangential to the circle of radius r, centred on the axis. BQ0, along the axis.

Bnet 0 neither in the directions mentioned in options (b) or (c). In region, r>2R

BP0BQ0Bnet 0



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