Three charges, Q_1, Q_2, and Q_3 are located in a straight line. The position of
ID: 1652431 • Letter: T
Question
Three charges, Q_1, Q_2, and Q_3 are located in a straight line. The position of Q_2 is 0.279 m to the right of Q_1. Q_3 is located 0.158 m to the right of Q_2. The force on Q_2 due to its interaction with Q_3 is directed to the... False: Right if the two charges are negative. False: Left if the two charges have opposite signs. True: Left if the two charges are negative. True: Left if the two charges are positive. True: Right if the two charges have opposite signs. In the above problem, Q_1 = 1.73 middot 10^-6 C, Q_2 = -3.03 middot 10^-6 C, and Q_3 = 3.03 middot 10^-6 C. Calculate the total force on Q_2. Give with the plus sign for a force directed to the right. Use Coulomb's Law and superposition of electric forces. Now the charges Q_1 = 1.73 middot 10^-6 C and Q_2 = -3.03 middot 10^-6 C are fixed at their positions, distance 0.279 m apart, and the charge Q_3 = 3.03 middot 10^-6 C is moved along the straight line. For what position of Q_3 relative to Q_1 is the net force on Q_3 due to Q_1 and Q_2 zero? Use the plus sign for Q_3 to the right of Q_1.Explanation / Answer
three charges
Q1, Q2, Q3
Q2 -> 0.279 m right of Q1
Q3 -> 0.158 right of Q2
a. Force on Q2 due to Q3 is to the left if both charges are same, to the right if both are opposite
so, False, False, True, True, True
b. Q1 = 1.73*10^-6 C
Q2 = -3.03*10^-6 C
Q3 = 3.03*10^-6 C
Total force on Q2 = k*Q2[-Q1/0.279^2 + Q3/0.158^2] = 8.98*10^9*3.03*10^-6*10^-6[3.03/0.158^2 - 1.73/0.279^2] = 2.697 N ( towards right)
c. let distance of Q3 from Q1 be d
net force on Q3 = 0
k*Q3[Q1/d^2 + Q2/(d + 0.279)^2] = 0
1.73/d^2 = 3.03/(d + 0.279)^2
(d + 0.279)/(d) = 1.3234
d = 0.862 m
so Q3 is d = 0.862 m to the left of Q1
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