- #1

- 9

- 0

## Homework Statement

There is a metal sphere charged to 6nC. A wire then connects this sphere to another sphere which has 2x the diameter and neutral. What are the final charges on each sphere?

## Homework Equations

## The Attempt at a Solution

I think the idea behind this is that the charge will flow from the charged sphere to the neutral one until the neutral one has gained enough charge that there's no longer a voltage difference. However I don't know how to get voltage difference in this situation.

Instead, I solved using the idea that the final surface charge distributions of both spheres should be the same.

So I did something like this,

Q

_{1}/r

^{2}=Q

_{2}/(2r)

^{2}(the 4pi cancels out)

from this I get the charge on the larger ball has to be 4x that of the smaller ball, however in my textbook it says the larger ball has 2x the charge.