Question

# A proton and an electron in a hydrogen atom are separated on the average by about...

A proton and an electron in a hydrogen
atom are separated on the average by about
5.1

So implicit in the question is that we're only worried about the electric field created by the proton. So, all we need to do is figure out the charge on a proton, and the distance away we are.

Since it tells us we're looking at the E field at the electron, we can use that separation distance that is given.
So, r=5.1*10^-11 m

Now, the charge on a proton is the same as that of an electron, but positive.

So, q=1.602*10^-19 C

Plugging it all in,

E=(8.99*10^9)*(1.602*10^-19)/(5.1*10^-11)^2 = 5.54*10^11 N/C

The direction of the field is directly towards the electron. (E field lines point from positive to negative)

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