Differentiating electrostatic force

In summary, to obtain the potential energy between two particles in an ionic bond at radius r0, you can use Coulomb's law and integrate the force function. However, the limits of the integral should be carefully chosen to account for the distance at which the potential is zero.
  • #1
Saxby
45
0

Homework Statement


Obtain an expression for the potiential energy between to particles in an ionic bond at radius r0

Homework Equations


Coloumb's laws: F = (-k * q1 * q2)/r-1

The Attempt at a Solution


I think that if i do U = r00 F(r)dr = [k * q1 * q2 * r-1]r00 = k * q1 * q2 * r0-1, Then that's the answer, but I'm not sure and i don't have the actual answer available. Any help would be appreciated :)
 
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  • #2
You'd better take a second look at Coulomb's law.
 
  • #3
well, if you want to get an answer using the (non-quantum) coulomb interaction, then you are on the right track. Your answer is not quite right. Think about what the distance is, when the potential is zero. (There is a convention to this). And this choice will influence your decision of the limits of your integral.
 

Related to Differentiating electrostatic force

What is electrostatic force?

Electrostatic force is a fundamental force of nature that describes the attraction or repulsion between electrically charged particles. It is also known as the Coulomb force, named after the physicist Charles-Augustin de Coulomb who first described it.

How is electrostatic force different from other forces?

Electrostatic force is unique because it only acts between charged particles, whereas other forces like gravity and magnetism can act between any two objects. Additionally, electrostatic force can be either attractive or repulsive, depending on the charges of the particles.

How can electrostatic force be calculated?

The magnitude of electrostatic force can be calculated using Coulomb's law, which states that the force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. The direction of the force is determined by the charges of the particles (positive or negative).

What is the unit of electrostatic force?

The unit of electrostatic force is the Newton (N), which is a measure of force in the SI system. In some cases, the unit of charge (Coulomb) and distance (meter) may also be included in the unit of electrostatic force.

How is electrostatic force used in everyday life?

Electrostatic force plays a role in many everyday phenomena, such as the attraction between clothes in a dryer, the sticking of a balloon to a wall after rubbing it on hair, and the operation of electronic devices. It is also harnessed in technologies like electrostatic precipitators used in air filters and inkjet printers.

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