Find magnetic field in a solenoid for different regions?
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i dont know the answer so please read the book
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A steady current I flows along an infinitely long hollow cylindrical conductor of radius RR. This cylinder is placed coaxially inside an infinite solenoid of radius 2R2R. The solenoid has nn turns per unit length and carries a steady current II. Consider a point PP at a distance rr from the common axis.
The correct statement(s) is (are):
(A) In the region 0<r<R0<r<R, the magnetic field is non-zero
(B) In the region R<r<2RR<r<2R, the magnetic field is along the common axis.
(C) In the region R<r<2RR<r<2R, the magnetic field is tangential to the circle of radius r, centered on the axis.
(D) In the region r>2Rr>2R, the magnetic field is non-zero.
The given solution is that both (A) and (D) are correct statements. However, is there an alternate argument for (C) is also being correct since the magnetic field in the region R<r<2RR<r<2R is touches the circle of radius rr only at a single point and meets all the requirements of being a tangent?
A detailed argument can be found here:
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