Question

Notes e point charges lie in the x-y plane as shown in the diagram belo w. q1-88.1 μC and is located at the origin; q2 38.1 μC and is nt o, and a corde s9ystem are a vec ind s located at x 1,61 m and y - 2.41 m. A force diagram showing the forces y(m) g on q1 and a coordinate system are given in the diagram. 31 2 21 Calculate the y-component of the net electrostatic force acting on q1 due to charges q2 and q3

Answer 1

q_1 = 88.1 mu_C is at (0,0) q_2 = 38.1 mu_C is at (3.21 m, 0) Seperation between these charges is x = 3.21 m F^rightarrow_31 = -9 times 10^9 q_1 q_2/x^2 i^= -9 times 10^9 (88.1 times 10^-6)/(3.21)62 i^= -2.9317 i^N q_3 = -23.9 mu C is at (1.61 m, 2.41 m) F^rightarrow_31 = 9 times 10^9 q_1 q_3/x^2 i^+ 9 times 10^9 q_1 q_3/y^2 j^= 9 times 10^9(88.1 times 10^-6)/(1.62)^2 I^+ 9 times 10^-6) (23.9 times 10^-6)/(2.41)^2 j^= 7.3107 i^+ 3.2627 j^N Net force F_net = F^rightarrow_31 + F^rightarrow_31 = (-2.9317 i^) + (7.3107 i^+ 3.2627 j^) = 4.3 79 i^+ 3.2627 j (a) The y component of net electrostatic force on charge q_1 due to charges q_2 and q_3 is 3.2627 N (b) The x component of net electrostatic force on charge q_1 due to charges q_2 and q_3 is 4.379 N