At what distance you need to place two chiseled electric charges 5nC and 6nC so that they repel
April 2, 2021 | education
| At what distance you need to place two chiseled electric charges 5nC and 6nC so that they repel each other with a force of 1.2 mN.
According to Coulomb’s law:
F = k * q1 * q2 / (r²), where F is the repulsive force of charges (F = 1.2 mN = 1.2 * 10-³ N), k is the proportionality coefficient (k = 9 * 10 ^ 9 N * m2 / Kl2), q1, q2 – charge values (q1 = 5 nC = 5 * 10 ^ -9 C, q1 = 6 nC = 6 * 10 ^ -9 C), r – distance between charges.
Distance between charges:
r = sqrt ((k * q1 * q2 / F)) = √ ((9 * 10 ^ 9) * (5 * 10 ^ -9) * (6 * 10 ^ -9) / (1.2 * 10- ³)) = √ (0.000225) = 0.015 m = 1.5 cm.
Answer: The distance is 1.5 cm.
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