Question:

What is the electric potential relative to infinity at a distance of 10-11 m from a?

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What is the electric potential relative to infinity at a distance of 10^-11 m from a proton?

Answer: 144 V

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  1. A proton is a point charge so you can use the expression for the electric fielt

    E = q/(4piEr^2) (where E is epsilon really)

    V = -integralfrom infinity to 10^-11m of E.dr

    V = [q/(4piEr)] at x = 10^-11, minus that at infinity. V at infinity = 0

    q = e = 1.602x10^-19C

    So V at 10^-11m is (1.602x10^-19) / (4pix8.85x10^-12 x 10^-11)

    V = 144V

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