Question

For the shown part of a circuit, the current $\left(i\right)$ as a function of time $\left(t\right)$ is, $i=2t^2+5$, where $t$ is in $\text{second}$. The displacement current at $t=1\text{s}$ is -

• A. $5\text{A}$
• B. $6\text{A}$
• C. $7\text{A}$
• D. $8\text{A}$

Answer 1

The correct option is C $7\text{A}$

We know that, at any instant,

$i_d=i_c$

$\Rightarrow i_d=2t^2+5$

At $t=1\text{s}$,

$i_d=2\times 1^2+5=7\text{A}$

Hence, option $\left(C\right)$ is the correct answer.