answers explain SolutionYoure looking for the point between

answers?? explain

Solution

You\'re looking for the point between the two atoms where their electric field strengths cancel-out (net E = 0) for the electron to be in equilibrium
With the atoms as point charges their field is .. E = kq/d² .. .. U = q, Fe = 2q
The two overlapping fields are in opposite directions (both radially outwards from atom) and same strength at ..
d(U) = r, d(Fe) = (R-r)
E(U) = E(Fe) .. .. kq / r² = k2q / (R-r)² .. 1/r² = 2/(R-r)² ..
(R-r)² = 2r²
R² - 2Rr + r² = 2r²
r² + 2Rr - R² = 0
Put R=40.50
r² + 81r - 1640.25 = 0
Now Solve this quadratic equation
r = 16.78 nm