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Physics, 21.01.2022 03:10 Arealbot

An electrostatic system consists of two earthed concentric spherical shells of very small thickness and of radii "a" and "2a" respectively. The region a ≤ r ≤ 2a bears a charge distribution: $\rho =\rho_{0} (a/r)$

1. Determine a value for $\rho_{0}$ if the total charge is Q.

2. Show that the potential is:

Given that the laplacian of the electric potential for spherical symmetric coordinates is = $1/r (d^{2}/dr^{2}) (r\Phi)$

3. Sketch the directed electric field configuration of the system.

$\Phi (r)=Q/(4\pi a) [(3/2 - 1/2(r/a) - a/r)]$

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