Comparing Potentials of Multiple Charges at Varying Distances from the Origin

In summary, the question is asking which charge, q or 2q, is at a higher potential when located a distance r and 2r in the +x direction from Q, respectively. The answer depends on the sign of Q and can be determined by calculating the potential at the origin using the equation V = (kq)/R and considering the impact of q and 2q on each other's potential.
  • #1
wolski888
25
0

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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  • #2
We know that [tex]V=\frac{kq}{R}[/tex], 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?
 
  • #3
Wouldn't it be the same for 2q and q? But if you mean add them together than V = kq(squared) / r. No?
 
  • #4
Does the question indicate whether Q is positive or negative?
 
  • #5
No, it does not.
 
  • #6
The sign of Q is the determining factor in this situation.
 
  • #7
Then what would be the answer for both cases?
 

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