Comparing Potentials of Multiple Charges at Varying Distances from the Origin

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Homework Help Overview

The discussion revolves around comparing the electric potential of two charges, q and 2q, positioned at varying distances from a charge Q located at the origin. Participants are exploring how the potential is influenced by the distance from Q and the nature of charge Q.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are considering the relationship between the potential and the charge Q, questioning how its value (including its sign) affects the potential at points where q and 2q are located. There is also discussion about whether to calculate potentials individually or combine them.

Discussion Status

The conversation is ongoing, with participants raising questions about the implications of the sign of charge Q and how it influences the potential of q and 2q. Some guidance has been offered regarding potential calculations, but no consensus has been reached.

Contextual Notes

The problem does not specify whether charge Q is positive or negative, which is a critical factor in determining the potential at the locations of q and 2q.

wolski888
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Homework Statement


Charge Q is located at the (x,y) origin. q is a distance r in the +x direction from Q. 2q is a distance 2r in the +x direction from Q. Which of q or 2q is at a higher potential? q, 2q, or same.

The Attempt at a Solution


I am thinking that it would depend on Q. Q=0, then the higher potential is at q. But if it wasn't =0? The fact that 2q and q impact each other's potential also makes this problem difficult. Any thoughts?
 
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We know that V=\frac{kq}{R}, correct? Do all potential calculations at the origin. For example, measure the potential due to q, and 2q at the origin where Q is located.

What do you get?
 
Wouldn't it be the same for 2q and q? But if you mean add them together than V = kq(squared) / r. No?
 
Does the question indicate whether Q is positive or negative?
 
No, it does not.
 
The sign of Q is the determining factor in this situation.
 
Then what would be the answer for both cases?
 

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