**COULOMB’S LAW**

**Statement.** The force of interaction between two stationary point charges q1 and q2 is directly proportional to the product of the charges and inversely proportional to the square of the distance r between them.

That is,

F α q1q2/r^{2}

If the charges are placed in vacuum, then

F = 1/4Пε_{o} q1q2/r^{2}

where 1/4Пε_{o} is a proportionality constant.

ε_{o} is the permittivity of free space = 8.85418 x 10^{-12 }C^{2} /Nm^{2} or Farad/m

**Definition of coulomb:** One coulomb is defined as the quantity of charge, which when placed 1 metre from an equal and opposite charge in vacuum, repels it with a force of 9.0 x 10^{9} N.

**Limitation Of Coulomb’s Law:**

It is difficult to apply the law when charges are of arbitrary shape. Here, the distance, r cannot be determined accurately as the centres of arbitrarily shaped charged bodies cannot be identified accurately.

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