Calculate the magnitude of electric force between a electron and a proton at a distance of r= 5.29* 10^-11m?

The magnitude of the electric force between an electron and a proton can be calculated using Coulomb's law:

F = k * |q1 * q2| / r^2

where:
F is the magnitude of the electric force
k is the Coulomb constant (8.9875 * 10^9 N m^2/C^2)
q1 and q2 are the charges of the electron and proton respectively (1.6 * 10^-19 C for both)
r is the distance between the charges (5.29 * 10^-11 m)

Plugging in the values:

F = (8.9875 * 10^9) * |(1.6 * 10^-19) * (1.6 * 10^-19)| / (5.29 * 10^-11)^2
F = (8.9875 * 10^9) * (2.56 * 10^-38) / (2.79841 * 10^-21)
F = 2.29 * 10^-8 N

Therefore, the magnitude of the electric force between an electron and a proton at a distance of 5.29 * 10^-11m is 2.29 * 10^-8 N.

The magnitude of the electric force between a electron and a proton at a distance of r= 5.29- 10^-11m is given by:

F = k - (q1 - q2) / r^2

where:

k is the Coulomb constant, which is 8.98755 × 10^9 N m^2/C^2
q1 is the charge of the electron, which is -1.602176634 × 10^-19 C
q2 is the charge of the proton, which is 1.602176634 × 10^-19 C
r is the distance between the electron and the proton, which is 5.29 × 10^-11 m

Plugging in these values, we get:

F = (8.98755 × 10^9 N m^2/C^2) - (-1.602176634 × 10^-19 C) - (1.602176634 × 10^-19 C) / (5.29 × 10^-11 m)^2
F = 2.307 × 10^-8 N

Therefore, the magnitude of the electric force between a electron and a proton at a distance of r= 5.29- 10^-11m is 2.307 × 10^-8 N.