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A small sphere of mass m and carrying a charge q is attached to one end of an insulating threadof length ‘a’, the other end of which is fixed at (0,0) as shown in the figure. There exists a uniform electric fieldin the region.The minimum velocity which should be given to the sphere at (a,0) in the direction shown so that it is able to complete the circle around the origin is ( There is no gravity)

Varna Sambhangi , 11 Years ago
Grade 12
anser 1 Answers
Sumit Majumdar

Last Activity: 10 Years ago

Dear student,
The net force acting on the sphere would be given by:
qE_{0}=\frac{mv^{2}}{a}\Rightarrow v^{2}=\frac{qE_{0}a}{m}\Rightarrow v=\sqrt{\frac{qE_{0}a}{m}}
Here the force due to the electric force results into a centripetal force due to which the sphere would move in a circular path.
Regards
Sumit

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