- #1

magicuniverse

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**Homework Statement**

1, What is the electric field around the conducting sphere of radius R carrying a charge Q?

2, What is the electric potential at the surface of the sphere if the potential infinately far away is zero?

3, Hence obtain a formula for the capacitance of the sphere.

4, Assuming the Earth to be a huge conducting sphere of radius 6.4*10^4 m surrounded by air find the capacitance of the earth.

**The attempt at a solution**

I have a solution for 1 which is E=kQ/r^2. I cannot do the rest of it, although i believe that I have to use gausses law although i quite simply don't know how to do this. Any helps or suggestions would be more that welcome.

Many Thanks.