Question about electrostatic equilibrium?

In summary, a system of three charges in electrostatic equilibrium with two fixed charges, 3.0 uC and 5.0 uC, 0.40 m apart, can be achieved by placing a third charge of 2.0 uC in the region between the two fixed charges, measured with respect to the 5.0 uC charge. Coulomb's law can be used to determine the exact location of the third charge.
  • #1
jle1092
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Two fixed charges, 3.0 uC and 5.0 uC, are 0.40 m apart. The 3.0 uC is to the left of the 5.0 uC charge. Where should a third charge of 2.0 uC be placed to put the system of three charges in electrostatic equilibrium? The answer should be measured with respect to the 5.0 uC charge.

What equation do I use?
 
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  • #2
Coulomb's law looks appropriate. Start by estimating where you think the third charge will have to go in order for the net force on it to balance out to zero. Hint: there are three choices of "region" that it might be placed: to the left of the two fixed charges, between the two fixed charges, and to the right of both fixed charges. Which region looks most promising?
 

1. What is electrostatic equilibrium?

Electrostatic equilibrium is a state in which the electric charges within a system are balanced and there is no net flow of electric current. This means that the electric fields and potentials within the system are constant and there is no movement of charge.

2. Why is electrostatic equilibrium important?

Electrostatic equilibrium is important because it allows for stable and predictable behavior of electric charges within a system. It also plays a crucial role in many practical applications, such as the functioning of electronic devices and the behavior of lightning bolts.

3. How is electrostatic equilibrium achieved?

Electrostatic equilibrium can be achieved in a system by ensuring that the net charge is zero and that the electric field is constant. This can be achieved through various methods, such as grounding, induction, and charge separation.

4. What are some examples of electrostatic equilibrium?

Some examples of electrostatic equilibrium include a balloon sticking to a wall after being rubbed against hair, a Van de Graaff generator with a constant electric field, and the Earth's atmosphere which is constantly balanced by lightning strikes.

5. How does electrostatic equilibrium relate to Coulomb's Law?

Coulomb's Law states that the force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. In electrostatic equilibrium, the forces between the charged objects are balanced, resulting in a constant electric field within the system.

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