1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# A charged particle going around in a circle can be considered to be a current loop. A particle of mass m carrying charge q is moving in a plane with speed v under the influence of magnetic field −→B. The magnetic moment of this moving particle :

A
mv2B2B2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
mv2B2πB2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
mv2BB2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
mv2B2B2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct option is D −mv2→B2B2 Length of the circular path, l=2πr Current, i=qT=qv2πr Magnetic moment, M=Current×Area =i×πr2=qv2πr×πr2 M=12q.v.r Radius of circular path in magnetic field, r=mvqB ∴M=12qv×mvqB⇒M=mv22B Direction of −→M is opposite of →B, therefore −→M=−mv2→B2B2 (By multiplying both numerator and denominator by B).

Suggest Corrections
2
Join BYJU'S Learning Program
Related Videos
Magnetic Field Due to a Current Carrying Wire
PHYSICS
Watch in App
Join BYJU'S Learning Program