How Is Equilibrium Distance Calculated Between Charged Spheres?

[314pi]

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

 

[Doc Al]

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.

 

[314pi]

Thanks

 

[TROGLIO]

how can u solve it wothout knowing d charge of d 3rd sphere??

 

[Doc Al]

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.)