Question

The current in a certain circuit varies with time, as shown in the figure. Find the average current for a full cycle.

• A. $4\text{A}$
• B. $0\text{A}$
• C. $5\text{A}$
• D. $3\text{A}$

Answer 1

The correct option is B $0\text{A}$

$\text{Average current for full cycle:}$


From the figure, we can see that, the area under the shaded region for the first half is equal to that of the second half of the full cycle but of opposite sign.

Hence, for the full cycle, net area is zero $i.e.$ average current is zero because average current is equal to total area under $i-t$ curve divided by total time.

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