Challenges of Home‑Based Verification of Coulomb's Law
Problem
There is currently a lack of simple, low‑cost methods to directly verify the exponent and constant of Coulomb's law; Einstein‑style approaches require precise torsion balances that hobbyists cannot easily replicate; the definition and measurement of charge remain conceptually ambiguous.
Pain points
- Lack of simple experimental apparatus to verify the exponent of Coulomb's law
- Requirement of precise torsion balances, which are costly
- Ambiguity in the definition and measurement of charge
Questions to verify
- Can a low‑cost electromagnetic setup be used to directly verify Coulomb's law at home?
- Can the magnitude of charge be standardized by measuring the force against a reference charge?
Evidence
quote · @匿名
But it's not at all obvious to me why the exponent a is 1 in naturei think we can rule out any exponent just by dimensional analysis if you allow powers of q, then K has ambiguous units. Same reason you cant exponentiate unitful quantitiesMore specifically I think we can rule out even exponents by anti-symmetry of charge. That is q^2n = (-q)^2n which know is ruled out by experiment.
quote · @匿名
It's probably easier to verify Gauss's Law, which then gives you Coulomb's law for free.Direct verification of inverse square laws is hard! For electromagnetic interactions (ie Coulomb's law) you can use scattering. If you want to do a static experiment (Coulomb's Law the hard way or gravity) you probably need a torsion pendulum experiment. AFAIK the best in the world at that are at UW in the Eöt-Wash group: https://www.npl.washington.edu/eotwash/torsion-balances
quote · @匿名
Could you use an electromagnet and a metal ball to create a fixed charge? If you change the current in the electromagnet, that would change the intensity of the magnetic field. With the metal ball fixed in place nearby and a careful curve for the change of current, you could potentially have a constant charge remaining on the ball.
Disclaimer: this card is distilled by AI from community discussions as “pain point evidence”. It is a starting point for need analysis and validation, not a “validated market need”. AI has analytical limits; please open the original discussion above to manually verify before key decisions.