How Does Reducing Distance Affect Force Between Charges?

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Reducing the distance between two charges to one-ninth of its original value increases the force between them significantly. According to Coulomb's law, the force is inversely proportional to the square of the distance, leading to a calculation of 81 times the original force of 3.0 N. This results in a new force of 243 N. The discussion highlights the importance of understanding the relationship between distance and force in electrostatics. Clarifying the variables in the formula helps in comprehending the underlying principles of charge interaction.
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Homework Statement



Two charges attract each other with a force of 3.0 N. What will be the force if the distance between them is reduced to one-ninth of its original value?

Homework Equations



(rA/rB)^2

The Attempt at a Solution



not sure how to find this.
 
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What is rA and rB?
 
sorry was a formula, i figured it out though,

(rA/rA9)^2 = 81

81* 3.0 N. = 243 N

Okay so i got the answer, maybe someone could explain what is going on if you will?
 
Use Coulomb's law directly. Take the charges to be q1 and q2, and the initial dist between them to be r.
 

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