Magnetic field due to currentHard
Question
In the figure, a charged sphere of mass m and charge q starts sliding from rest on a vertical fixed circular track of radius R from the position shown. There exists a uniform and constant horizontal magnetic field of induction B. The maximum force exerted by the track on the sphere is :-
Options
A.mg
B.3mg - qB
C.3mg + qB
D.mg - qB
Solution
Fm = qvB (directed radially outward)
N - mg sinθ - qvB =
or N =
+ mg sinθ + qvB
Hence, at θ =
Nmax =
+ mg + qB 
= 3mg + qB
N - mg sinθ - qvB =
or N =
+ mg sinθ + qvBHence, at θ =
Nmax =
+ mg + qB = 3mg + qB
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