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 2\mu CμC (micro Coulombs). After two microseconds, the magnitude of the net electric charge of the capacitor is closest to which of the following options?

Answer 1

Explanation:

The question statement is incomplete as it does not give information about the magnitude of charging and associated options.

Speaking in general about the charging of a capacitor, the charging follows the exponential pattern, that is, if the capacitor is fully discharged then it will charge rapidly initially and then this charging rate decreases with time and it takes too much time in when it is near to full charge

Answer 2

The magnitude of net electric charge of the capacitor=$8\mu C$

Explanation:

Given:Initial charge,q0=$2\mu C$

Current ,I=3 A

Time,t=$2\mu s$

We know that

Charge,dq=Idt

Using the formula

The magnitude of net electric charge of capacitor after 2$\mu s$ is given by

$q=\int_{0}^{2\mu s}3dt+2\mu C$

$q=3[t]^{2\mu s}_{0}+2\mu C$

$q=3(2\mu s-0)+2\mu C=6\mu C+2\mu C=8\mu C$

Hence, the magnitude of net electric charge of the capacitor=$8\mu C$

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