Question

Part A In the diagram below, there are three collinear point charges: qu, qz, and qs. The distance between qu and qa is the same as that between gz and qs. You will be asked to rank the Coulomb force on qi due to qz and qa Rank the six combinations of electric charges on the basis of the electric force acting on q1. Define forc pointing to the right as positive and forces pointing to the left as negative Rank in increasing order by placing the most negative on thǐ left and the most positive on the right. To rank items as equivalent, overlap them. 4

Answer 1

Force between two charges q_1 and q_2 F = kq_1 q_1/r^2 where k = 8.99 times 10^9 N-m^2/c^2 (i) If both same sign (ii) If both opposite sign \r\n The magnitude of charges q_1 = q_2 = q_3 = ln c = q(Let) The magnitude of Forces on q_1: - (i) Due to q_2 F_2 = kq_2 q_1/r^2 = kq^2/r^2 (ii) Due to q_3 F_3 = kq_3 q_2/(2r)^2 = 0.25 kq_2/r^2 1: F = -(F_3 + F_2) F = -1.25 kq_1/r^2 implies F = -1.25 kq/r^2 2: F = F_2 - F_3 F = 0.75 kq/r^2 \r\n 3: F = F_2 + F_3 = 1.25 kq^2/r^2 4: F = F_3 - F_2 = -0.75 kq^2/r^2 5: F = F_2 - F_3 = 0.75 kq^2/r^2 6: F = -(F_2 + F_3) = -1.25 kq^2/r^2 F[(1)] = F[(6)] < F[(4)] < F[(2)] = F[(5)] < F[(3)]