Answer:
[tex]i=-32076e^{-9t}\ nA[/tex]
Explanation:
A capacitor is a device that stores electrical energy in an electric field. It is made up of two conductor plates separated by a dielectric. It stores electrical charges which then produces a potential difference between the plates.
The current flowing through a capacitor is given by:
[tex]i=C\frac{d}{dt}v_c(t)\\ \\C=capacitance, i=current,v_c(t)=voltage\\\\given\ that\ C=220\ nF=220*10^{-9}F,v_c(t)=16.2e^{-9t}C\\\\i=220*10^{-9}F*\frac{d}{dt}(16.2e^{-9t}C) \\\\i=220*10^{-9}*-9*16.2e^{-9t}\\\\i=-32076e^{-9t}*10^{-9}\\\\i=-32076e^{-9t}\ nA[/tex]
