Question

Find the average value of the current shown graphically from \( t = 0 \) to \( t = 2 \) s. 
 

• A. \( 3 \) A
• B. \( 5 \) A
• C. \( 10 \) A
• D. \( 4 \) A

Hint:

The area under the current-time graph gives the charge transferred, which helps in calculating the average current.

Answer 1

The Correct Option is B

Step 1: {Calculate the area under the \( i-t \) graph}
\[{Total area} = \frac{1}{2} \times 1 \times 10 + \frac{1}{2} \times (2-1) \times 10\]\[= 5 + 5 = 10 { A}\]Step 2: {Determine the average current}
\[i_{{avg}} = \frac{{Total area}}{{time interval}}\]\[i_{{avg}} = \frac{10}{2} = 5 { A}\]Therefore, the average current is \( 5 \) A.