Two point charges, one of which is twice the size of the other, are in a vacuum at a distance of 9 cm

Two point charges, one of which is twice the size of the other, are in a vacuum at a distance of 9 cm and are attracted with a force of 0.8 N. Determine the magnitude of the charges.

Given:

q1 = 2 * q2;

r = 9 cm = 0.09 m;

F = 0.8 H;

k = 9 * 10 ^ 9 N * m2 / Cl2 – coefficient of proportionality;

q1 -?

q2 -?

Decision:

we will use the formula of Coulomb’s law: F = k * q1 * q2 / r2;

F = k * 2 * q2 * q2 / r2;

q2 = √ (F * r2 / 2 * k);

q2 = √ (0.8 * 0.092 / 2 * 9 * 10 ^ 9) = √ (0.36 * 10 ^ 6) = 600 C;

q1 = 2 * 600 = 1200 Cl.