Question Detail
Question
Two charges Q1 = 500 uC and Q2 = 100 uC are located on the xy-plane at positions r1 = 3j m and r2 = 4i m. Find the magnitude of the force exerted on Q2.
Correct Answer
Option D is the correct answer.
Detailed Explanation
Vector from Q1(0,3) to Q2(4,0): displacement = (4-0, 0-3) = (4,-3), magnitude r = sqrt(42+32) = 5 m. F = k Q1 Q2 / r2 = (9x109)(500x10-6)(100x10-6)/25 = (9x109)(5x10-8)/25 = 450/25 = 18 N.
Hint
Vector from Q1(0,3) to Q2(4,0): displacement = (4-0, 0-3) = (4,-3), magnitude r = sqrt(42+32) = 5 m.