What Is the Current in a Rotating Electron Model of a Hydrogen Atom?

  • Thread starter Thread starter coffeem
  • Start date Start date
  • Tags Tags
    Electromagnetism
Click For Summary
SUMMARY

The discussion focuses on calculating the loop current in a rotating electron model of a hydrogen atom, specifically using a radius of 0.53 x 10-10 m and a frequency of 0.66 x 1016 Hz. The formula I = NevA is referenced, where I represents current, N is the number of electrons, e is the charge of an electron, v is the velocity, and A is the area of the loop. The user seeks clarification on how to apply this formula to determine the loop current, which is defined as the rate at which charge passes a point in the loop.

PREREQUISITES
  • Understanding of basic electromagnetism concepts
  • Familiarity with the charge of an electron (approximately 1.6 x 10-19 C)
  • Knowledge of circular motion and its relation to frequency
  • Ability to calculate area of a circle (A = πr2)
NEXT STEPS
  • Study the derivation and application of the formula I = NevA in electromagnetic contexts
  • Learn about the calculation of dipole moments in rotating charge distributions
  • Explore the Biot-Savart Law for calculating magnetic fields from current loops
  • Investigate the quantum mechanical model of the hydrogen atom for deeper insights
USEFUL FOR

Students and professionals in physics, particularly those focusing on electromagnetism and atomic models, as well as educators looking to explain the concepts of current and magnetic fields in atomic structures.

coffeem
Messages
91
Reaction score
0
Hi I have tried the question below. However I am failing at the first hurdle part a! Some help and advice would certaintly be appretiated. Thanks

Taking a simple model of the hydrogen atom as an electron rotating around the nucleus in a circle or radius 0.53ee-10m at a frequency of 0.66ee16Hz, estimate:

a) The look current,

b) The magnitude of the dipole-moment of the loop,

c) The magnitude and ridection of the magnetic field at a distance of 2ee-9m, from the center of the loop.


For part (a) I tried using the formula: I = NevA, however this gave me an answer which was many orders of magnitude wrong lol.
 
Physics news on Phys.org
The loop current is just the rate at which charge is a passing a point in the loop. The electron passes every point 0.66E16 times per second. How much current is that? I don't know what the formula I=NevA is referring to.
 

Similar threads

Effective Magnetic Field in Ground-State Hydrogen Atom?
  • · Replies 1 ·
Replies
1
Views
2K
Modeling the Driven Damped Oscillations in a Material
  • · Replies 7 ·
Replies
7
Views
2K
Magnitude of the current flowing around the nucleus in the Bohr mode
  • · Replies 3 ·
Replies
3
Views
4K
Hydrogen atom probability of electron inside nucleus
  • · Replies 2 ·
Replies
2
Views
10K
What Determines the Direction of Rotation in a Current Loop?
  • · Replies 4 ·
Replies
4
Views
5K
Undergrad The electron as a smeared charge density
  • · Replies 13 ·
Replies
13
Views
3K
Solving 1st Physics Class: Hydrogen Atom & Nucleus Diameters
  • · Replies 5 ·
Replies
5
Views
6K
Undergrad Does the New Muon g-2 Measurement Indicate Physics Beyond the Standard Model?
  • · Replies 2 ·
Replies
2
Views
3K
What is the Orbital Velocity of an Electron in a Hydrogen Atom?
  • · Replies 18 ·
Replies
18
Views
4K
What is the Perturbation in the Modified Coulomb Model of a Hydrogen Atom?
  • · Replies 6 ·
Replies
6
Views
4K