Question

A Capacitor is a circuit component that stores energy and can be charged when current flows through it. A current of 3A flows through a capacitor that has an initial charge of 2μC (micro Coulombs). After two microseconds, how much is the magnitude of the net electric charge (in μC) of the capacitor?

Answer 1

`8\mu C`

Step-by-step explanation:

t = Time taken =
`2\mu s`

i = Current = 3 A

q(0) = Initial charge =
`2\mu C`

Charge is given by

`q=\int_0^t idt+q(0)\\\Rightarrow q=\int_0^(2\mu s) 3dt+2\mu C\\\Rightarrow q=3(2\mu s-0)+2\mu C\\\Rightarrow q=6\mu C+2\mu C\\\Rightarrow q=8\mu C`

The magnitude of the net electric charge of the capacitor is
`8\mu C`