How Do You Calculate Equilibrium Position Between Charges Using Coulomb's Law?

In summary, for a homework problem involving Coulomb's Law and charges, we are given that a +2.0 nC and a +8.0 nC charge are separated by 36.0 cm. We are asked to find the equilibrium position for a -2.0 nC charge as a distance from the first charge. Using the formula q/r^2, we can determine the strength and direction of the forces from each charge. The equilibrium position will be where these forces are equal and opposite.
  • #1
charliexx09
4
0
Coloumbs Law & Charges. Please help! :(

Homework Statement



A charge of +2.0 nC and a charge of +8.0 nC are separated by 36.0 cm. Find the equilibrium position for a −2.0 nC charge as a distance from the first charge. Answer in units of cm

Homework Equations



q/r^2

The Attempt at a Solution



I really have no idea how to even start. We just started learning about charged in physics and our teacher hasn't taught us a whole lot (yet we still have to do this homework by ourselves). I just need to understand how to do these problems, and any help would be more than appreciated. Thank you so much and I apologize for not having more information to give!
 
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  • #2
hi charliexx09! :wink:
charliexx09 said:
A charge of +2.0 nC and a charge of +8.0 nC are separated by 36.0 cm. Find the equilibrium position for a −2.0 nC charge as a distance from the first charge. Answer in units of cm

q/r^2

call the distance from the first charge "x"

use your formula to find the strength and direction of the forces from each charge

then for what value of x are those two forces equal and opposite? :smile:
 

Related to How Do You Calculate Equilibrium Position Between Charges Using Coulomb's Law?

1. What is Coulomb's Law?

Coulomb's Law is a fundamental law of electrostatics that describes the force between two stationary electrically charged particles. It states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

2. How does Coulomb's Law relate to electric charges?

Coulomb's Law mathematically explains the interaction between electric charges. It states that like charges repel each other, while opposite charges attract each other with a force that is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

3. What are electric charges?

Electric charges are fundamental properties of matter that can be either positive or negative. Protons carry a positive charge, while electrons carry a negative charge. Objects with the same type of charge repel each other, while objects with opposite charges attract each other.

4. How does distance affect the force between two electrically charged particles?

According to Coulomb's Law, the force between two charged particles is inversely proportional to the square of the distance between them. This means that as the distance between the particles increases, the force between them decreases. Therefore, the force is stronger when the particles are closer together and weaker when they are farther apart.

5. What is the unit of measurement for electric charge?

The unit of measurement for electric charge is the Coulomb (C). One Coulomb is equivalent to the charge of 6.24 x 10^18 protons or electrons. It is named after the French physicist Charles-Augustin de Coulomb, who first described the relationship between electric charges in the 18th century.

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