# Find Earth's charge using Gauss's Law

1. Feb 3, 2010

### ndoc

1. The problem statement, all variables and given/known data

The electric field just above the surface of Earth has been measured to typically be 163 N/C pointing downward.

What is the total charge on Earth's surface implied by this measurement?

2. Relevant equations

∫EdA = Qinside/ɛo

3. The attempt at a solution

I solved this two ways and got the same answer, which is apparently wrong. using Gauss's Law: EA = Q/ɛo => Q=EAɛo = (-163)(4*pi*r^2)ɛo = -735.56 kC

2. Feb 3, 2010