Answer to Question #311163 in Electricity and Magnetism for Davzz

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