Can Jacob's Ladder Be Calculated? Formulas and Factors to Consider

  • Context: Undergrad 
  • Thread starter Thread starter Felix Mok
  • Start date Start date
  • Tags Tags
    Electrons Spark gap
Click For Summary
SUMMARY

The calculation of the minimum voltage required to initiate a spark gap in a Jacob's Ladder is contingent upon the separation distance between the rods and the breakdown voltage of the surrounding medium, specifically air. To determine the maximum distance for the spark gap to "jump," one must reference the breakdown voltage for air, which is approximately 3 million volts per meter. Additionally, calculating the number of moles of electrons that traverse the gap can be derived from the total charge involved in the spark discharge, utilizing fundamental electrostatic principles.

PREREQUISITES
  • Understanding of electrical breakdown voltage in air
  • Basic knowledge of electrostatics and charge calculations
  • Familiarity with the concept of moles in chemistry
  • Proficiency in using formulas related to voltage and distance in electrical contexts
NEXT STEPS
  • Research the breakdown voltage of air and its implications for spark gaps
  • Explore electrostatic discharge calculations and their applications
  • Learn about the relationship between voltage, distance, and spark gap initiation
  • Investigate the calculation of charge and moles of electrons in electrical discharges
USEFUL FOR

Electrical engineers, physicists, hobbyists working with high-voltage applications, and anyone interested in the principles of spark gaps and electrostatics.

Felix Mok
Messages
1
Reaction score
0
Hi there,

I would like to ask is it possible to calculate the min. voltage to initiate the spark gap create by the Jacob's Ladder and also the max. distance between two rods to make the spark gap "jump"?

Other than that, is it possible to calculate the no. of moles of electrons (approximately) "jumped" to the opposite side of rod.

Can I know what formulas are involved?

Thanks.
 
Physics news on Phys.org
It depends upon the separation distance and the break-down voltage of the surrounding medium. If this is in air, look up the break-down voltage for air, and go from there.
 

Similar threads

Undergrad Numerical calculations of a railgun yielded disappointing results
  • · Replies 4 ·
Replies
4
Views
2K
12V battery to create spark gap?
  • · Replies 6 ·
Replies
6
Views
5K
Undergrad Hall effect in P-type semiconductors: electron-centric heuristic?
  • · Replies 0 ·
Replies
0
Views
3K
Undergrad Progress In Calculating The HLbL Contribution To Muon g-2
  • · Replies 0 ·
Replies
0
Views
3K
Undergrad Can basic concepts explain EIT, LWI, and STIRAP?
  • · Replies 1 ·
Replies
1
Views
2K
High School Infrared Detectors & The 2nd Law of Thermodynamics
  • · Replies 152 ·
6
Replies
152
Views
11K
Is Alan Turing given too much credit when it comes to computers?
  • · Replies 29 ·
Replies
29
Views
6K
Graduate Can entanglement swapping determine the absolute velocity of an object?
  • · Replies 15 ·
Replies
15
Views
3K
Undergrad Optimization problem with multiple outputs: impossible?
  • · Replies 6 ·
Replies
6
Views
3K
Graduate How Do Neutrino Oscillations Reveal the Nature of Neutrinos?
  • · Replies 1 ·
Replies
1
Views
3K