Question

How to prove 1 Coulomb = 3*10 9 stat Coulomb

Answer 1

charge on an electron = 4.8 x 10⁻¹⁰ stat C
so 1.6 x 10⁻¹⁹ C = 4.8 x 10⁻¹⁰ stat C
1 coulomb = 4.8 x 10⁻¹⁰/ 1.6 x 10⁻¹⁹
1 coulomb = 3 x 10⁹ C

Answer 2

Solution:  

Stat coulomb is a cgs unit whereas coulomb is a SI unit. Stat coulomb is smaller compared to coulomb.

This can be proved through the charge value of an electron.

Charge on an electron $= 4.8 \times 10^{-10} \text { stat } C$

Charge of an electron $= 1.6 \times 10^{-19} \ \mathrm{C}$

Equating these both values, we get,

$\Rightarrow 4.8 \times 10^{-10} \text { stat } C=1.6 \times 10^{-19} \mathrm{C}$

$1 C = \left(\frac{4.8 \times 10^{-10}}{1.6 \times 10^{-19}}\right) {stat \ C}$

$\therefore 1 C=3 \times 10^{9} \text { stat } C$

Hence proved.