A long solid non-conducting cylinder of radius R is charged such that the volume charge density is proportional to r where r is the distance from axis. The electric field E at a distance r(r

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A long solid non-conducting cylinder of radius R is charged such that the volume charge density is proportional to r where r is the distance from axis. The electric field E at a distance r(r < R) will depend on r as

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Correct answer: B. E r^2

aligned & ( b ): r ; =K r & d Q= V & =K r(2 r d r) l aligned Using Gauss's Law, aligned & E .2 r l= ₀^r K r .2 r l . d r ₀ & E=K r^2 3 ₀ & E r^2 aligned

A long solid non-conducting cylinder of radius R is charged such that the volume charge density is proportional to r where r is the distance from axis. The electric field E at a distance r(r < R) will depend on r as

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