Question

Please can someone answer this with solutions? Thank you very much

Three positive point charges of 3.0 µC, 6.0 µC, and 2.0 µC, respectively, are arranged in a triangular pattern, as shown in the figure below. Find the magnitude and direction of the electric force acting on the 6.0 µC charge.

Answer 1

Force

$F=F_{12}+F_{23}$

$F=\frac{kq_1q_2}{r^2}+\frac{kq_2q_3}{r^2}$

$$F=\frac{9\times10^9\times3\times10^{-6}\times6\times10^{-6}}{r^2}$$

$F=\frac{9\times10^9\times2\times10^{-6}\times6\times10^{-6}}{r^2}$

$F=\frac{0.162}{r^2}+\frac{0.108}{r^2}$

Direction outside the 6$\mu C$ Charge