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A point charge is projected along the axis of circular ring of charge Q and radius10(2)^1/2 cm.the distance of the point charge from the centre of the ring,where the acceleration of the charged particle is maximum,will be
Asked by jmorakhia | 26 Apr, 2019, 10:55: PM
Expert Answer
acceleration is maximum where the electric field is maximum.
Figure shows electric field dE due to charge dq=λdr on small element dr of circular ring of radius R.
λ is linear charge density which is given by λ = Q/(2πR)
Electric field dE can be resolved so that one component is parallel to axis i.e dE cosθ and other one is perpendicular to the axis dE sinθ .
perpendicular component will be cancelled if we consider the electric field contribution of all the points in the circumference.
Total electric field E = ..........................(1)
location of Maximum value of electric field is obtained from ( dE/dx ) = 0
Hence by diffrentiating the electric field function as given by eqn.(1) with respect to x, and equating it to zero.
we get maximum electric field is at x = R/√2
Hence acceleration of charged particle is maximum when x = 10√2 / √2 = 10 cm from centre of ring
Answered by Thiyagarajan K | 27 Apr, 2019, 03:55: PM
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