Question

Three point-like charges are placed at the corners of an equilateral triangle as shown in the figure, a = 36.0 cm. Find the magnitude of the electric force exerted on the charge q3 . Let q11 = +1.20 µC, q22 = −3.90 µC, and q33 = −2.20 µC.

View History Bookmarks Window Help Three Pore-Eke Chapes Are Placed At The 10. Three poin-like charges are placed at the comers of an equilateral triangle as shown in the figure,a - 36.0 cm. Find the magnitude of the electric force exerted on the charge 9-Let q1 =+120pC,q,--390pC, and ob =_2.20,C. 、a 41 5 6 8

Answer 1

theta = 60 degree (triangle) Electric field due to point charge is E = kq/r^2 E_x = Eq_3 x + Eq_2 x = [kq_3/a^2 cos(60) + kq_2/a^2]i^^= [9 times 10^9 times 2.20 times 10^-6/(0.36 m) cos(60) + 9 times 10^9 times 3.90 times 10^-6/(0.36)^2]i^^= 76388.88 + 270833.33 = 347222.21 v/c middot i E_y = [q_3/a^2 sin(60) + 0]j^^= [9 times 10^9 times 2.20 times 10^-6/(0.36)^2 sin(60)]j^^= 132309.43 j^^N/C. E_net = squareroot E^2_x + E^2_y = squareroot (347222.21)^2 + (132309.43)^2 = 371576.43 N/C. Electric force F = E_net q_1 = 371576.43 times 1.20 times 10^-6 C = 0.4458 N.