A small charged ball is hovering in the state of equilibrium at a height h over a very large horizontal uniformly charged sheet. If a disc of radius r h , is removed from the plate directly underneath the ball, then the acceleration of the ball will be

Question

A small charged ball is hovering in the state of equilibrium at a height h over a very large horizontal uniformly charged sheet. If a disc of radius r h , is removed from the plate directly underneath the ball, then the acceleration of the ball will be, g 2 r h 2, g 2 h r 2, g 4 r h 2, g 4 h r 2

MARKS App · Accepted Answer

Initially, m g = q E ⇒ q m = g E Now, a disc of charge Q = σ × π r 2 is removed. As r h , we can treat disc as a point charge. The acceleration of the ball is a = q Q 4 π ε 0 h 2 m a = g 2 r h 2

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