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1. If the point charge inside is +q will the total charge on the outer
surface be +q (and the charge on the cavity wall be -q)?
2. Assume that the point charge is close to the cavity surface. Now
if we increase the radius of the sphere (keeping the point charge at the
same distance from the cavity surface) the charge density on the outer
surface will decrease (right?) When the radius becomes infinity the part
of conducting sphere close to the point charge becomes a conducting
plate. The E-field on the other side of the plate will become ZERO
because the charge density on the plate will be zero! Is that correct?