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Grade 12th passElectrostatics

Charge 􀀓 is applied to a circular disk of ebonite of radius 􀀔 by rubbing it while it is rotating. In
this way the surface charge density becomes proportional to the radial distance from the
center. Show that the electric field strength on the axis of the disk at an axial distance ℎ from
the center is 􀀖􀀗􀀘
􀀙􀀌􀀚􀀛􀀜􀀝 􀀞􀀟􀀠 􀀜􀀡√􀀜􀀣􀀡􀀘􀀣
􀀘 − 􀀥
√􀀜􀀣􀀡􀀘􀀣􀀦 􀀧􀀨.

Profile image of Amali
9 Years agoGrade 12th pass
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1 Answer

Profile image of Rasanjana Weerarathne
9 Years ago

Charge Q is applied to a circular disk of ebonite of radius a by rubbing it while it is rotating. in this way, the surface charge density becomes proportional to the radial distance from the center. Show that the electric field strength on the axis of the disk at an axial distance h from the center is

E=3Qh4πϵ0a3[lna+a2+h2h1a2+h2]an