Electrostatic fields in vacuum

So the final answer is 8.2 x 10^-8. In summary, the force resulting from the electrostatic interaction between a proton with charge +q and an electron with charge -q, both with a value of 1.6 x 10^-19, orbiting at a distance r of 0.53 x 10^-10m, can be calculated using the equation F = (k * q1 * q2) / r^2, where k = 9 x 10^9. The resulting force is 8.2 x 10^-8.
  • #1
smerep
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Homework Statement



An atom H has a charge +q (=proton) and -q(=electron). q = 1,6.10^-19.
The electron is circeling around the proton at r distance r = 0,53.10^-10m.

What is the force as a result of the electrostatic interaction between the proton and electron

Homework Equations





The Attempt at a Solution



F = (1/(4 x pi x epsilon 0)) x ((q1.q2) / r^2)

1/(4 x pi x epsilon 0 = 9 x 10^9 = k
q1 = 1,6.10^-19
q2 = -1,6.10^-19
r = 0,53.10^-10m

F = k . q.-q/ r^2 = k. -q^2/r^2
F = (9 x 10^9* 1,6.10^-19* -1,6.10^-19) / 0,53.10^-10*0,53.10^-10
F = -2,3 .10^-28/2,8.10^21 = - 8,2.10^-8

Is this correct?
 
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  • #2
Looks fine to me.

You don't need a minus sign for the charge, since you're working out the magnitude of the force.
 

Related to Electrostatic fields in vacuum

1. What is an electrostatic field in a vacuum?

An electrostatic field in a vacuum is a type of electric field that exists in a region with no matter or particles. It is created by stationary electric charges and is characterized by its direction and strength.

2. How do electrostatic fields in a vacuum behave?

Electrostatic fields in a vacuum follow the principles of Coulomb's Law, which states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. This means that the strength of the field decreases as the distance from the source increases.

3. What is the difference between an electrostatic field in a vacuum and a non-vacuum environment?

In a non-vacuum environment, the presence of particles and matter can affect the behavior of an electrostatic field. In a vacuum, however, there are no particles to interact with the field, so it remains constant and does not experience any external influences.

4. How are electrostatic fields in a vacuum used in technology?

Electrostatic fields in a vacuum are used in technologies such as cathode ray tubes, vacuum capacitors, and vacuum tubes. They are also used in high-voltage applications, such as particle accelerators and X-ray machines.

5. Can electrostatic fields in a vacuum be shielded or blocked?

Yes, electrostatic fields in a vacuum can be shielded or blocked by using materials with high dielectric constants, such as metals or insulators. This prevents the field from passing through and affecting other objects or individuals.

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