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## Homework Statement

A Spherical conductor has an Electric field near its surface of 180 volts per inch.

How much charge (in Coulombs) is on the sphere ?

How many excess electrons are on the sphere?

Will the air around the sphere break down and produce an arc ?

## Homework Equations

Well, I assume Gauss Law is going to be used

E= Ke ( q / r

^{2})

isolated sphere:

C = 4πε₀r in Farads

ε₀ is 8.8542e-12 F/m

r is radius in m

## The Attempt at a Solution

Well, I haven't really been able to start getting anywhere with it, but a few things I know.

That once I am able to determine the total charge of the Sphere, I will be able to calculate the amount of excess electrons with simple math.

It seems to me that we would need to know the size of the sphere in this situation.