Point charge in a hollow sphere

[Try hard]

Inside an uncharged, perfect conducting hollow sphere of thickness t and radius R, a point charge Q is placed at a distance D from the centre, where D<R - t. Need to derive a simple expression for the field outside the sphere. In a section passing through Q, sketch qualitatively the charge distribution in the sphere. How do I use Gauss' Law to solve this? :frown: Please help

[Doc Al]

Welcome to PF!

Here's a hint or two. There will be an induced charge on the inner surface of the sphere distributed so that its field (for r > R-t) will just cancel the field due to the charge. There will be an induced charge on the outer surface of the sphere that will distribute itself uniformly.