Question 17: Current Electricity

Question

Find the average value of current shown graphically from $ t=0 $ to $ t=2 \mathrm{~s} $.

Accepted Answer

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.
$      	ext{Area of first triangle} = \frac{1}{2} 	imes 	ext{base} 	imes 	ext{height} = \frac{1}{2} 	imes 1 	imes 10 = 5 	ext{ A}      $
Second Triangle:
From $ t = 1 $ to $ t = 2 $ seconds, with a height of 10 A.
$      	ext{Area of second triangle} = \frac{1}{2} 	imes (2-1) 	imes 10 = 5 	ext{ A}      $
Total Area:
Total area under the graph from $ t = 0 $ to $ t = 2 $ seconds is:
$      5 	ext{ A} + 5 	ext{ A} = 10 	ext{ A}      $
Calculate the Average Current:
The average current $(i_{\mathrm{av}})$ is given by:
$      i_{\mathrm{av}} = \frac{	ext{Total Area}}{	ext{Time Interval}} = \frac{10}{2} = 5 	ext{ A}      $
Thus, the average current over the interval from $ t = 0 $ to $ t = 2 $ seconds is $ 5 \, 	ext{A} $.

Answer

3 A

Answer

5 A

Answer

10 A

Answer

4 A

Current Electricity

Find the average value of current shown graphically from t=0 to t=2 \mathrm{~s} .

Choose the correct answer: