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Pls dont get this wrong, if you do sad... The energy stored by any pair of positive charges is inversely proportional to the distance between them, and directly proportional to their charges. Three identical point charges start at the vertices of an equilateral triangle, and this configuration stores 15 Joules of energy. How much more energy, in Joules, would be stored if one of these charges was moved to the midpoint of the opposite side?

 May 26, 2023
 #1
avatar+118617 
+1

This is a semi educated guess, I am not knowledgable about electricity.

 

Let  E= k/d       and    C=md    whee  k and m are constants. (but we do not need to worry about C.)

and d is the distance between the chages. 

 

Initially  

\(\frac{k}{d}+\frac{k}{d}+\frac{k}{d}=\frac{3k}{d} = 15J \)

 

 

Now move the charge and the distances become    d/2, d/2  and d

so new energy is

 

\(\frac{k}{d/2}+\frac{k}{d/2}+\frac{k}{d}=\frac{5k}{d} = 15*5/3\;Joules = 25J \)

 

So if my reasoning is correct there will be 10 more Joules of energy.

 May 26, 2023
 #2
avatar+274 
+1

Thank you so much Melody!

 May 27, 2023
 #3
avatar+118617 
0

You are wwelcome.  Do you know if my answer is correct?

Melody  May 27, 2023
 #4
avatar+274 
+1

Yes, it is! Your solution is really helpful!

 May 27, 2023

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