HW about physics, electircal engineering. Help please

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Discussion Overview

The discussion revolves around a homework problem in physics and electrical engineering that asks participants to find a stable configuration of charges such that the total electrical force is zero, with the stipulation that neutral charges are not allowed. The scope includes conceptual reasoning and mathematical modeling related to electrostatics.

Discussion Character

  • Homework-related
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • One participant describes an attempt to visualize a configuration of charges arranged in a square shape, suggesting that one corner is positioned closer to the center than the others.
  • Another participant questions the polarity of the proposed four charges and seeks clarification on whether the problem involves the forces on one charge or all charges needing to be zero.
  • A participant asserts that the force on each charge must be zero and emphasizes that the problem is conceptual, allowing for flexibility in the number and arrangement of charges.
  • One participant expresses initial skepticism about the possibility of a solution but later suggests that at least one configuration might exist and proposes starting with a one-dimensional arrangement to explore balance of forces.

Areas of Agreement / Disagreement

Participants generally agree that the problem involves finding a configuration where the forces on the charges are balanced, but there is uncertainty regarding the specifics of the problem statement and the feasibility of finding such a configuration. Multiple viewpoints on the approach to the problem remain.

Contextual Notes

There is ambiguity regarding the exact requirements of the problem, particularly whether it pertains to the forces acting on a single charge or all charges. Additionally, the mathematical proof of the proposed configurations has not been established.

qwerty92
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Homework Statement



Hi! My lecturer has given a HW qustion which is as follows:

Can you find a set of charges that are stable? ( total electrical force will be zero)

note: neutral charge is forbidden


Homework Equations


F=k..q1.q2/d^2


The Attempt at a Solution



I drew some shapes for neutral electrical force but cannot prove as mathamatical equation

. Shape can be drawn as a square whose one corner is near to the center with respect to other corners, which becomes not a ordnary square by the way
 
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what are the polarities of your 4 charges? Did I get that right - 4 charges?
 
qwerty92 said:

Homework Statement



Hi! My lecturer has given a HW qustion which is as follows:

Can you find a set of charges that are stable? ( total electrical force will be zero)

note: neutral charge is forbidden


Homework Equations


F=k..q1.q2/d^2


The Attempt at a Solution



I drew some shapes for neutral electrical force but cannot prove as mathamatical equation

. Shape can be drawn as a square whose one corner is near to the center with respect to other corners, which becomes not a ordnary square by the way

Welcome to the PF.

Is that the full problem statement? Do they mean the electric force on *one* charge when placed in a group of other charges? Or do the forces on *all* of the charges need to be zero?
 
The force exerted on each charge will be zero. There is no mentioned about type of charges but you cannot use neutral charge. It is full problem statement. Actually it is conceptual problem. You will decide how many charges you will and their locations.
 
qwerty92 said:
The force exerted on each charge will be zero. There is no mentioned about type of charges but you cannot use neutral charge. It is full problem statement. Actually it is conceptual problem. You will decide how many charges you will and their locations.

Fair enough. Use the force equation and maybe induction to prove whichever viewpoint you think is correct...
 
Actually, I initially thought that it would not be possible, but I think there may be at least one configuration that could work. I need to sketch it up to see if it could work.

I'd suggest starting with a 1-dimensional geometry to see if you can find a way to balance electrostatic forces...
 

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