Electric Field and Electrostatics

Show My Homework - Electric Field 1

Answer

$K*e^2/r^2 = K*2e^2/(R-r)^2$

$(R-r)^2 = 2r^2$

$R^2- 2Rr +r^2 -2r^2 =0$

$r^2 + 2Rr -R^2 =0$

$r = -R +sqrt{(R^2+R^2)} = -R +R*sqrt{2}  = 0.414*R = 0.41421*43.70 =18.1011 nm$

$f = K*e^2/r^2 =9*10^9*(1.6*10^{-19})^2/(18.1011*10^{-9})^2 =7.03*10^{-13} N$