Question

based on coulomb's law in cgs system the dimensional formula for charge is

Answer 1

A single electron has a charge of 1.60217733 × 10-19 Coulombs. A collection of 6.2415 × 1018 electrons has a charge of one Coulomb (1/1.60217733x10-19). 1.6 into 10 raise to power -19 no of electrons are present in one coulomb of charge.

Answer 2

Answer:

The dimensional formula for charge in CGS system is  $[M^\frac{1}{2} L^{\frac{3}{2} }T^{-1}]$.

Explanation:

The formula for force $F=\frac{k.q^{2}}{r^{2}}$

      ∴                    $q=(\frac{F.r^{2}}{k})^{\frac{1}{2} }$                          ......................(1)

Dimensional formula for force F  $=[MLT^{-2}]$

On the place of r = L in eq.(1) while k is constant

Dimensional formula for charge  $=[MLT^{-2}L^{2}]^{\frac{1}{2}}$

Dimensional formula for charge in cgs system  $=[M^\frac{1}{2} L^{\frac{3}{2} }T^{-1}]$