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Electric field given by the vector vec E...

Electric field given by the vector `vec E = x hat i + y hat j` is present in the x y plane. A small ring carrying `+Q`, which can freely slide on a smooth nonconducting rod, is projected along the rod from the point `(0, L)` such that it can reach the other end of the rod. What minimum velocity should be given to the ring ? (Assume zero gravity).
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Text Solution

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For the electric field, `V=-(E_(0)x^(2))/(2l)-(E_(0)y^(2))/(2l)+K`
from energy conservation `-(QE_(0))/(l)(l^(2))/(2)+k+(1)/(2)Mv^(2)=-(QE_(0))/(l)*(l^(2))/(8)xx2+K`
`v=2m//s`
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