Question

A constant current charges a 20-nanofarad [nF) capacitor to 5 volts [V] in 10 microseconds [us]. (a) Determine the current. Express your answer in units of amperes, using an appropriate metric prefix

Answer 1

Answer:

Current in the capacitor will be equal to 0.01 A      

Explanation:

Capacitance of the capacitor $C=20nF=20\times 10^{-9}F$

Capacitor voltage is change to 5 volt

So change in capacitor voltage $dV=5volt$

Time taken to change in capacitor voltage $dt=10\mu sec=10^{-5}sec$

Current in the capacitor is equal to

$i=C\frac{dV}{dt}=20\times 10^{-9}\times \frac{5}{10^{-5}}=0.01A$

So current in the capacitor will be equal to 0.01 A