Hole in the cylinder

An infinitely long solid cylinder of radius \ell has a charge density ρ\rho. It has a spherical cavity of radius 2\frac {\ell}{2} with its centre on the axis of the cylinder. The magnitude of the electric field at a distance of 22\ell from the axis of the cylinder is given by aρbϵo\frac {a\rho\ell}{b\epsilon_o}.

Find the value of a+ba + b.

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