# 3 point charges on a line, calculate net force

Part 1

Three charges, Q1, Q2, and Q3 are located in a straight line. The position of Q2 is 0.235 m to the right of Q1. Q3 is located 0.125 m to the right of Q2. The force on Q2 due to its interaction with Q3 is directed to the.....

Right if the two charges are negative. A: True B: False

Right if the two charges have opposite signs. A: True B: False

Left if the two charges have opposite signs. A: True B: False

Left if the two charges are positive. A: True B: False

Left if the two charges are negative. A: True B: False

Part 2

In the above problem, Q1= 1.22·10-6 C, Q2= -3.03·10-6 C, and Q3= 3.33·10-6 C. Calculate the total force on Q2. Give with the plus sign for a force directed to the right. (in N)

Part 3

Now the charges Q1= 1.22·10-6 C and Q2= -3.03·10-6 C are fixed at their positions, distance 0.235 m apart, and the charge Q3= 3.33·10-6 C is moved along the straight line. For what position of Q3 relative to Q1 is the net force on Q3 due to Q1 and Q2 zero? Use the plus sign for Q3 to the right of Q1.

(in m)

Please solve and explain problem.

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#### Solution Summary

Three questions are involved in this exercise.

Question 1) three charges are placed in a straight line. The directions of the net force on each charge are explored.

Question 2) three charges are placed in a straight line. The net force on one of the point charge is calculated.

Question 3) three charges are placed in a straight line. Find the location of a point charge such that its net force is zero.

Force between a point charge and conducting sphere

Using method of images, find the force of attraction between an external point charge +Q and a conducting sphere of potential V_0. Take the charge to be a distance D from the center of the sphere. What value of V_0 makes the force equal 0?

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