Three electric charges are arranged on a straight line as shown in the figure. S
ID: 1571504 • Letter: T
Question
Three electric charges are arranged on a straight line as shown in the figure. Select True or False for the following statements. True: If Q_1 is negative, Q_2 is negative and Q_3 is positive, then Q_2 MUST feel a net force to the right. True: If Q_1 is positive, Q_2 is negative and Q_3 is positive, then Q_2 MIGHT feel a net force to the right. False: If Q_1 is positive, Q_2 is negative and Q_3 is negative, then Q_2 MUST feel a net force to the right. False: If Q_1 is positive, Q_2 is negative and Q_3 is positive, then Q_2 MUST feel a net force to the right. You are correct. In the above figure, R = 1.28 m, Q_1 = 1.57 times 10^-6 C, Q_2=-Q_1 and Q_3=-Q_1. Calculate the total force on Q_2. Give your answer with a positive number for a force directed to the right. Use Coulomb's Law and superposition of electric forces.Explanation / Answer
Electric force is given by:
F = kq1q2/r^2
Net force on Q2 will be given by:
Fnet = F12 + F13
Fnet = kQ1Q2/R^2 + kQ3Q2/R^2
Fnet = k*Q2/R^2*[Q1 + Q3]
Fnet = (-9*10^9*1.57*10^-6/1.28^2)*[1.57*10^-6 + 1.57*10^-6]
Fnet = -0.02708 N
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