A computer chip uses $1\mathrm{.}0{10}^5$ electrons to store the charge associated with a single bit of information in a square cell within the chip that measures $1\mathrm{.}0{10}^{-6}m$ on each side. What is the current density associated with each cell if the computer writes $100$ million bits per second, one after the other?

$1\mathrm{.}6{10}^6\frac{A}{m^2}$

$1\mathrm{.}6{10}^{4}m\frac{A}{m^2}$

$3\mathrm{.}2{10}^{12}\frac{A}{m^2}$

$3\mathrm{.}2{10}^{3}m\frac{A}{m^2}$

Hint