In a vacuum, at a distance of 5 cm from each other, there are charges q1 and q2. Determine the amount

| July 3, 2021 | education

In a vacuum, at a distance of 5 cm from each other, there are charges q1 and q2. Determine the amount of charge q1 if the charges interact with a force of 180 μN, and the charge q2 is 10 nC. The proportionality coefficient is k = 9 * 10.9.

Initial data: r (distance between charges) = 5 cm (0.05 m); F (the force with which the charges interact) = 180 μN (180 * 10 ^ -6 N); q2 (value of the second charge) = 10 nC (10 * 10 ^ -9 C); charges are in vacuum (ε = 1).

Constants: by condition k (proportionality coefficient) = 9 * 10 ^ 9 N * m2 / Cl2.

The value of the first charge is determined using the Coulomb law: F = k * q1 * q2 / r ^ 2, whence q1 = F * r ^ 2 / (k * q2).

Calculation: q1 = 180 * 10 ^ -6 * 0.052 / (9 * 10 ^ 9 * 10 * 10 ^ -9) = 5 * 10 ^ -9 C (5 nC).



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