Question

Current $I$ versus time $t$ graph through a conductor is shown in the figure. Average current through the conductor in the interval $0$ to $15s$ is:

• A. $1A$
• B. $10A$
• C. $7.5A$
• D. $5A$

Answer 1

The correct option is D $5A$

Area under the $i,t=q$

$\begin{array}{c}{T}_{avg}=\frac{q_1+q_2}{t}\\ Area{q}_1=\frac{1}{2}\times 5\times 10\\ =25c\\ Area{q}_2=\frac{1}{2}\left(15-5\right)\times 10\\ =50c\\ \Rightarrow Iavg=\frac{25c+50c}{15\sec }=5A\end{array}$