How Is Equilibrium Distance Calculated Between Charged Spheres?

You only need to know the charge on the two end spheres, the distance between them, and the distance between the middle sphere and one of the end spheres.In summary, the conversation discusses finding the equilibrium position of a charged sphere located between two other charged spheres on a pole, with one end having a charge n times greater than the other. The distance x between the middle sphere and the first sphere is to be determined, and it can be found by considering the field from each end charge at the point x. It is not necessary to know the charge of the third sphere to solve for x.
  • #1
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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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  • #2
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.
 
  • #3
Thanks
 
  • #4
how can u solve it wothout knowing d charge of d 3rd sphere??
 
  • #5
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.)
 

FAQ: How Is Equilibrium Distance Calculated Between Charged Spheres?

Can anyone solve an electrostatic problem?

Not necessarily. Solving electrostatic problems often requires knowledge and expertise in physics, mathematics, and computer simulations. It is a complex task that may require the skills of a trained scientist or engineer.

What type of background is needed to solve electrostatic problems?

A strong foundation in mathematics, particularly calculus and vector calculus, is essential for solving electrostatic problems. Additionally, knowledge of electromagnetism and computer simulations may also be necessary.

Are there any software programs that can solve electrostatic problems?

Yes, there are various software programs available that can help solve electrostatic problems, such as COMSOL Multiphysics, ANSYS, and MATLAB. However, a thorough understanding of the underlying principles is still necessary to effectively use these programs.

What is the process for solving an electrostatic problem?

The first step is to understand the problem and gather all the necessary information, such as boundary conditions and material properties. Then, the problem can be solved analytically using mathematical equations or numerically using computer simulations. Finally, the results should be analyzed and interpreted to draw conclusions.

Are electrostatic problems common in real-world applications?

Yes, electrostatic problems are commonly encountered in various fields such as engineering, physics, and chemistry. Examples include designing electronic devices, studying the behavior of charged particles in space, and understanding the properties of materials.

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