Let’s imagine that two charges, each of which consists of 1 g of electrons

Let’s imagine that two charges, each of which consists of 1 g of electrons, are at a distance of 100 m from each other. With what force do they interact?

The mass of one electron is me = 9.109 * 10 ^ -31 kg.

The number of electrons whose mass is equal to 1 g:

n = 0.001 kg / 9.109 * 10 ^ (- 31) kg = 1.098 * 10 ^ 27.

The charge of one electron: e = 1.6 * 10 ^ -19 Cl.

Charge of one gram of electrons:

q = n * e = 1.098 * 10 ^ 27 * 1.6 * 10 ^ (- 19) Cl = 1.75 * 10 ^ 8 Cl;

The force of interaction between two groups of electrons:

F = (k * q ^ 2) / r ^ 2 = (9 * 10 ^ 9 H * m ^ 2 / Cl ^ 2) * (1.75 * 10 ^ 8 Cl) ^ 2) / (100 ^ 2 m ^ 2) = 2.75 * 10 ^ 22 N.

Answer: 2.75 * 10 ^ 22 N