The classical model of a hydrogen atom in its normal unexcited configuration has an electron that revolves around a proton at a distance of `5.3xx10^(-11)` m.
(a) What is the electric potential due to the proton at the position of electron ?
(b) Determine the electrostatic potential energy between the two particles.

Explanation

The electric potential `V_(P)` due to the proton can be found by using `V= ( kQ)/( r ) ` and we can subsequently find the electrostatic potential energy by using `U = ( -e) V_(P)`, where `-e` is the electron charge .
(a) `V_(P) = ( + e)/( 4 piepsilon_(0)r)= ((9.0 xx 10^(9) N. m^(2) //C^(2))(1.6 xx 10^(-19)C))/(5.3 xx 10^(-11) m ) = 27 V`
(b) `U = ( - e ) V_(P) = ( 1.6 xx 10^(-19) C ) ( 27 V) `
`= - 4.3 xx 10^(-18) J`