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roblem 1 Suppose you have a particle with a negative charge -q exactly between t

ID: 2303619 • Letter: R

Question

roblem 1 Suppose you have a particle with a negative charge -q exactly between two identical particles with equal, positive charge Q, as shown a) If you pull -q a bit to the left, what direction is the net force on it? Make sure to explain your reasoning. b) If you pull -qa bit upwards, what direction is the net force acting on it? Make sure to explain your reasoning c) Is this a stable configuration? Explain your reasoning. d) Is it possible to create a stable configuration of three arbitrary charges in a line? Why or why not?

Explanation / Answer

a) If particle with charge -q is pulled a bit to the left, it will get closer to the charge on the left. The attraction towards the charge on the left would be bit stronger as compared to that to the right. Hence the total charge in the middle would be toward the left.

b) If the particle with charge -q is moved a bit upwards, the force due to two positive charges in the downwards direction would be acting on it; one slightly to the right and another slightly to the left. This force would be pulling the particle with charge -q down a bit.

c) No this is not stable configuration as the charges do not completely cancel.

d) Yes, if the middle charge is of opposite sign and double the charge on any one of the particle on the sides.