Two protons are maintained at a separation of 959 nm Calcula

Two protons are maintained at a separation of 959 nm. Calculate the electric potential due to the two particles at the midpoint between them. Find the magnitude and direction of the electric field there.

Solution

a)midpoin is at, r= 959/2= 479.5 nm

electric potential is given by

V= kq/r

electric potential due to two protons

V= 2× kq/r= 2× 9*10^9* 1.6*10^-19/(479.5*10^-9)= 6*10^-3 V

b) net electric field at mid point = 0 N/C, b

because electric field due to both protons cancels each other at mid point.

c) direction of field is undetermined.