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: {Finding 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: {Finding Average Current}
\[ i_{{avg}} = \frac{{Total area}}{{time interval}} \] \[ i_{{avg}} = \frac{10}{2} = 5 { A} \] Thus, the correct answer is \( 5 \) A.