Magnetic field due to currentHard
Question
A particle of charge q and mass m moves in a circular orbit of radius r with angular speed ω. The ratio of the magnitude of its magetic moment to that of its angular momentum depend on
Options
A.ω and q
B.ω, q and m
C.q and m
D.ω and m
Solution
Ratio of magnetic moment and angular momentum is given by
Which is a function of q and m only. This can be derived as follows
M = iA = (qf).(πr2)
= (q)
and L = Iω = (mr2)
∴
Which is a function of q and m only. This can be derived as follows
M = iA = (qf).(πr2)
= (q)
and L = Iω = (mr2)
∴
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