Given the two charged particles shown in the figure below fi

Given the two charged particles shown in the figure below, find the electric field at the origin. (Let q_1 = -26.00 nC and q_2 = 700 nC. Express your answer in vector form.)

Solution

At origin it is
= kq₁/r₁²(1/sqrt(5)i-2/sqrt(5)j)+kq₂/r₂²(-2/sqrt(13)i-3/sqrt(13)j), k=9*10^9
=(9*10^9*(-26)*10^-9/5)*(1/sqrt(5)i-2/sqrt(5)j)+(9*7/13)*(-2/sqrt(13)i-3/sqrt(13)j)
= - 23.61i + 37.82j