How Is Equilibrium Distance Calculated Between Charged Spheres?

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Homework Help Overview

The discussion revolves around calculating the equilibrium distance between charged spheres, specifically focusing on two charged spheres at the ends of a pole and a third sphere positioned along that pole. The original poster describes the setup involving charges of different magnitudes and seeks to determine the distance from one of the spheres to the equilibrium position.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need to find the electric field from the end charges at the equilibrium point and question how to approach the problem without knowing the charge of the third sphere.

Discussion Status

Some participants have offered hints regarding the calculation of electric fields and the possibility of treating the charge of the third sphere as a variable. The conversation reflects an exploration of different interpretations of the problem setup and the assumptions involved.

Contextual Notes

There is a noted uncertainty regarding the charge of the third sphere and its impact on determining the equilibrium position. The original poster's task is framed within the constraints of a homework assignment, which may impose specific rules or expectations for the solution process.

314pi
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At the two ends of a pole there are two + charged spheres.One has a charge n times that of the other (nq and q). Along this pole, of length we will call d, there is another charged sphere which is located at an equilibrium position we will call x units away from the first sphere. My task is to find the distance x. I will call the distance of the middle sphere from the “right” sphere y = d – x
 
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Well, what have you done so far and where are you stuck?

Hint: Find the field from each of the end charges at the point x.
 
Thanks
 
how can u solve it wothout knowing d charge of d 3rd sphere??
 
TROGLIO said:
how can u solve it wothout knowing d charge of d 3rd sphere??
You don't need to know the charge on the third sphere to figure out the equilibrium point. (Just call it Q, if you like.)
 

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