25 October 2018

Coulomb Law

  • When two charged bodies place very close to each other, it experience a mechanical force.

According to Coulomb’s law

  • The force between charges bodies is directly proportional to product of charges, inversely proportional to square of distance between them and nature of medium surrounding them.
  • Let Q1 and Q2 are two point charges, d is distant between them and F is force acts on two point charges.
        F a Q1Q2 / d2
        F = k Q1Q2 / d2
        Where k = Constant
                     = 1 /4πeoer
  • The value of constant k depends upon surrounding medium of charge.
  • Therefore F = Q1Q2 / 4πeoer d2
  • Where er = Relative permittivity of medium and
                  eo = Absolute permittivity of the air
                      = 8.854 × 10 – 12 Farad / meter
                   F = Force, vector quantity
  • Let Q1 = Q2 = one coulomb, d = 1 meter, er = 1 and eo = 8.854 × 10 – 12
        F = Q1Q2 / ( 4 × 3.14 × 8.854 × 10 – 12 d2 ) Newton
          = 9 × 109 Q1Q2 / d2 Newton

One coulomb charge

  • If Q1 = Q2 = Q , d = 1 meter , F = 9 × 109 Newton
        Then Q1 = Q2 = Q = ± 1 coulomb
  • One coulomb charge is defined as a charge which placed in air from an equal and opposite charge repels with a force of 9 × 109 Newton.
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