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State and explain Coulomb’s law of electric charge in scalar form.

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Coulomb’s law:

The force of attraction or repulsion between two point charges at rest is directly proportional to the product of the magnitude of the charges and inversely proportional to the square of the distance between them. This force acts along the line joining the two charges.

Explanation:

i. Let q1 and q2 be the two point charges at rest with each other and separated by a distance r. F is the magnitude of electrostatic force of attraction or repulsion between them.

ii. According to Coulomb’s law.

F ∝ \(\frac{q_1q_2}{r^2}\)

∴ F = K\(\frac{q_1q_2}{r^2}\)

where, K is the constant of proportionality which depends upon the units of F, q1, q2, r and medium in which charges are placed.

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