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A solid non-conduction cylinder of radiu...

A solid non-conduction cylinder of radius R is charge such that volume charge density is proporation to r where r is distance from axis. The electric field E at a distance `r(r lt R)` well depend on r as.

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To solve the problem, we need to determine how the electric field \( E \) at a distance \( r \) (where \( r < R \)) from the axis of a solid non-conducting cylinder varies, given that the volume charge density \( \rho \) is proportional to the distance \( r \) from the axis. ### Step-by-Step Solution: 1. **Define the Charge Density**: The volume charge density \( \rho \) is given to be proportional to \( r \). We can express this as: \[ \rho = k \cdot r ...
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