Question

One stat-coulomb is defined as the charge which will repel an equal and similar charge with a force of one dyne when placed in air at a distance of one cm. Calculate the number of stat-coulombs in one coulomb.

Answer 1

Dear student,
1dyne=10^-5 N

$$\begin{gathered} force=\frac{k{q}^2}{d^2}qisthestatcoloumbofcharge. \\ {10}^{-5}=\frac{9*{10}^9*q^2}{{\left(0.01\right)}^2} \\ q=3*{10}^{-9}C \\ thenoofstatcoulombinoneC=\frac{{10}^9}{3}=3.33*{10}^{8}statcoulombcharge. \\ Regards \end{gathered}$$