Difficult Coulombs Law questions

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Homework Help Overview

The discussion revolves around a problem involving Coulomb's Law, specifically focusing on the equilibrium of two negative charges, -Q and -3Q, separated by a distance l, with the introduction of a third charge that must be positioned appropriately to maintain equilibrium.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the nature of the forces between the negative charges and the implications for the placement of a positive charge. Questions arise about the correct positioning of the third charge and the distances involved in maintaining equilibrium.

Discussion Status

Participants are actively engaging with the problem, exploring various interpretations of the charge placements and distances. Some have suggested drawing diagrams to clarify the configuration of the charges, while others are attempting to establish equilibrium conditions based on defined coordinate systems.

Contextual Notes

There is an emphasis on understanding the forces at play between the charges and the need for clarity in defining distances and positions. The discussion reflects a collaborative effort to navigate the complexities of the problem without providing direct solutions.

Basher
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Homework Statement


Q1.Two Charges, -Q and -3Q, are a distance l apart. The two charges are free to move but don't because there is a third charge nearby. What must the third charge be and where must it be placed for the first two to be in equilibrium?

Homework Equations


Coulombs Law: F = k.qQ/r^2


The Attempt at a Solution

 
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Well what do you think would be the first step to do? (if the two charges are -ve, would they repel or attract one another? Hence where should the third charge be placed such the charges do not move, between or outside the charges?)Draw the free-body diagram and put in the charges and distances.
 
rock.freak667 said:
Well what do you think would be the first step to do? (if the two charges are -ve, would they repel or attract one another? Hence where should the third charge be placed such the charges do not move?)

Yes I do know I must place a +ve charge between them, sorry I should have mentioned that however it's the magnitudes. It must be closer to the smaller charge.
 
Define a coordinate system and place the positive charge at an arbitrary distance from one of the negative charges. Call this distance x+. Can you write out the equilibrium condition for both negative charges in terms of x+?
 
ideasrule said:
Define a coordinate system and place the positive charge at an arbitrary distance from one of the negative charges. Call this distance x+. Can you write out the equilibrium condition for both negative charges in terms of x+?

So the distance between -Q and +Q is x - l? I'm lost with this one. you may have to elaborate.
 
It's l-x, because l is larger. I think you should draw out the configuration, placing all three charges along the x axis. For convenience, put one of the negative charges at x=0.
 
Basher said:
So the distance between -Q and +Q is x - l? I'm lost with this one. you may have to elaborate.

ah wait the distance between -Q and +Q is x. The distance between -Q and -3Q is L. And the distance between +Q and -3Q is L - x. Yes diagrams do help!
 

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