Question

Homework Assignment 1 (Electric Charge and Electric Field: Electrostatics, Coulomb's Law, Electric Field) Problem 21.14 20110 Constants Periodic Table Part A Two small nonconducting spheres have a total charge of 94.0 μC When placed 1.18 I apart, the force each exerts on the other is 11.1 N and is repulsive. What is the charge on each? Enter your answers in ascending order separated by comma. Submit Part B What if the force were attractive? Enter your answers in ascending order separated by comma 0回? 0102- Submit Request Answer Provide Feedback Next >

Answer 1

Total charge, Q_1 + Q_2 = 94sec distance between them, d = 1.18m Force = 11.1N (repulsive) Repulsive means both have same charge sign Q_1 + Q_2 = 94 times 10^-6 c F = KQ_1 Q_2/r^2 11.1 = (9 times 10^9 N - m^2/c^2)(Q_1 Q_2)/1.82 = > Q_1 Q_2 = 1.71729 times 10^-9 C^2 Q_1 (94 times 10^-6 - Q_1) = 1.71729 times 10^-9 = > Q^2_1 - 94 times 10^-6 Q_1 + 1.71729 times 10^-9 = 0 = > Q_1 = 2.48 times 10^-5 C Q_2 = 6.917 times 10^-5 C (2.48 times 10^-5, 6.9 times 10^-5)C Force is attractive different signs Q_1 - Q_2 = 94 times 10^-6 Q_1 Q_2 = 1.71729 times 10^-9 Q^2_1 - 94 times 10^-6 Q_1 - 1.71729 times 10^-9 = 0 = > Q_1 = -1.566 times 10^-5 C Q_2 = 1.0966 times 10^-4 C (-1.566 times 10^-5, 1.0966 times 10^-4)C