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An infinite dielectric sheet having char...

An infinite dielectric sheet having charge density `sigma` has a hole of radius R in it. An electron is released from point P on the axis of the hole at a distance `sqrt(3)R` from the center. Find the speed with which it crosses the plane of the sheet.
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Text Solution

Verified by Experts

The correct Answer is:
`v=sqrt((sigma eR)/(m in_(0)))`
From energy conservation
`[(sigma R)/(2 in_(0))-sigma/(2in_(0))xx2R]e=-1/2 mv^(2)`
`-(sigmaRe)/(2in_(0))+(sigmaRe)/in_(0)=1/2 mv^(2)`
`v=sqrt((sigma eR)/(m in_(0)))`
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