The distance between two point electric charges was doubled and both charges were doubled.

The distance between two point electric charges was doubled and both charges were doubled. The force of interaction between charges?

Data: q1.1, q2.1 – initial values of point electric charges; q1.2, q2.2 – increased values of charges (q1.2 = 2q1.2 and q2.2 = 2q1.2); R1 is the initial distance between charges; R2 – reduced distance between charges (R2 = 0.5R1).

To calculate the change in the force of interaction, we substitute all the data into the Coulomb’s law: F1 = k * q1.1 * q2.1 / R1 ^ 2; F2 = k * q1.2 * q2.2 / R2 ^ 2 = k * 2 * q1.1 * 2 * q2.1 / (2R1) ^ 2 = 4 * k * q1.1 * q2.1 / 4R1 ^ 2 = k * q1.1 * q2.1 / R1 ^ 2 = F1 (will not change).