To find the average value of the current from
t=0 to
t=2 seconds, we analyze the current-time
(i−t) graph.
Calculate the Area under the Graph:
The graph consists of two triangular sections.
First Triangle: From
t=0 to
t=1 second, with a height of 10 A .
Area of first triangle
=‌× base
× height
=‌×1×10=5ASecond Triangle: From
t=1 to
t=2 seconds, with a height of 10 A .
Area of second triangle
=‌×(2−1)×10=5ATotal Area:
Total area under the graph from
t=0 to
t=2 seconds is:
5A+5A=10ACalculate the Average Current:
The average current (
iav ) is given by:
iav=‌| ‌ Total Area ‌ |
| ‌ Time Interval ‌ |
=‌=5AThus, the average current over the interval from
t=0 to
t=2 seconds is 5 A .