Electrostatic fields in vacuum

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SUMMARY

The discussion centers on calculating the electrostatic force between a proton and an electron in a hydrogen atom using Coulomb's Law. The formula applied is F = (1/(4 x pi x epsilon 0)) x ((q1.q2) / r^2), where k is defined as 9 x 10^9 N m²/C². The values used include q1 = 1.6 x 10^-19 C, q2 = -1.6 x 10^-19 C, and r = 0.53 x 10^-10 m. The final calculated force is approximately -8.2 x 10^-8 N, with a note that the negative sign is not necessary when discussing the magnitude of the force.

PREREQUISITES
  • Coulomb's Law for electrostatic forces
  • Understanding of charge units (Coulombs)
  • Basic knowledge of atomic structure
  • Familiarity with constants such as epsilon 0 (permittivity of free space)
NEXT STEPS
  • Study the derivation and applications of Coulomb's Law
  • Explore the concept of electric fields and potentials
  • Learn about the significance of epsilon 0 in electrostatics
  • Investigate the quantum mechanical model of the hydrogen atom
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Students in physics, educators teaching electrostatics, and anyone interested in atomic interactions and forces in vacuum conditions.

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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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Looks fine to me.

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

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