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A dielectric cylinder of radius a is inf...

A dielectric cylinder of radius a is infinitely long. It is non-uniformly charged such that volume charge density `rho` varies directly as the distance from the cylinder. Calculate the electric field intensity due to it at a point located at a distance r from the axis of the cylinder. Given that `rho` is zero at the axis and it is equal to `rho` on the surface of cylinder. Also calculate the potential difference between the axis and the surface. `[(rhor^(2))/(3in_(0)a),(rhoa^(2))/(9in_(0))]`

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