Three Charges Problem: Sketching the Motion of Charges Released from Rest

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SUMMARY

The discussion centers on the motion of three charges released from rest, specifically how they interact as they move. Participants analyze the forces acting on the charges, noting that the attractive electric force on charges P and Q outweighs the repulsive forces, leading to an initial outward curve. However, as the negative charge R moves, P and Q will eventually curve back towards R. The consensus is that the book's question is poorly phrased, failing to clarify the initial and subsequent movements of the charges.

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20130322_193009.jpg


Roughly sketch the path of each charge if they are released from rest at the same time, and are allowed to move freely.

Here is my sketch :
20130322_193246.jpg


The model answer:
20130322_193027.jpg


Please tell me what is wrong with my sketch. Once R moves to the left side, PR and QR will be shorter than PQ. Attractive electric force on P outweighs the repulsive, similarly for Q. Shouldn't P and Q bend towards R instead of away? Consider when P, Q and R are collinear, there should be a net attractive force between P and Q?
 
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yeah, It is not very clear. I think what the book means is that to begin with, the particles will curve away from each other. And what the book doesn't say is that they will then start to curve back towards each other, when the negative charge gets in-between them.

So I think your answer is correct. (Although they might not curve all the way into each other, since they might be already going too fast, and never manage to meet with each other). But also, as the book says they will initially curve away from each other.

The book seems to expect the answer to what will happen initially. But it is not clear about this, so It is a badly-written question, I think.
 

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