# Checking the conclusions made are right or wrong regarding interaction between a spherical conductor and a charge inside it

Consider a setup of a spherical shell conductor with a charge kept at a distance d from centre (d<R). Are these conclusions right ?

• If the earthing was done then the induce charge distribution on the inner surface of the shell is not dependent on the outer surface charge , and so earthing has no effect on inside charge distribution .
• The outer surface charge distribution will be uniform. Infact total positive or negative charge outside is zero .
• The reason inner surface charge distribution doesnt depend on earthing or anything happening outside the shell is because the conductor always shield it from outside field.
• The whole system is not in electrostatics condition when just the charge and conductor is present in a gravity free space . Since there is a attrative force causing them to move towards each other .

• Yes, in the earthed case. If not you'll have a uniform surface charge to adjust the desired voltage (with respect to $$\infty$$): $$\sigma = \frac{\epsilon_0 V}{r_o}$$ with $$r_o$$ the outer radius.