# Find Earth's charge using Gauss's Law

## Homework Statement

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?

## Homework Equations

∫EdA = Qinside/ɛo

## 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

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## Homework Statement

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?

## Homework Equations

∫EdA = Qinside/ɛo

## 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