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

Current in the capacitor will be equal to 0.01 A

Step-by-step explanation:

Capacitance of the capacitor
`C=20nF=20* 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(dV)/(dt)=20* 10^(-9)* (5)/(10^(-5))=0.01A`

So current in the capacitor will be equal to 0.01 A