Using the same parameters in the previous section, calculate the electrostatic force at a distance of 1m.
Using the following values;
- Radius of Hydrogen atom 5.29177 x 10 -11 m (0.000000000053)
- Charge of Hydrogen atom 1.602 x 10-19 C (0.0000000000000000001602)
- Separation distance 1 m
- Coulombic constant 8.988×109 N⋅m2⋅C−2
- The corrected equation produces a force of 4.865 e-49N at 1m.
An equivalent calculation using F=GM1m2/r^2 and two protons is;
- Proton mass 1.6726219 × 10-27 kilograms
- Gravitational constant 6.67408 × 10-11 m3 kg-1 s-2
- Ignore mass of electron.
- F = 6.67e-11 * (1.67e-27)^2/1^2
- = 1.86e-64 N
Results;
- The corrected equation returns a value substantially higher than the expected value.
- The impact of approximating the electron as a probability cloud was not investigated. This would involve approximating many spheres of varying radius in the numerical approximation.