A) 1s
B) 2s
C) 3s
D) 4 s
Correct Answer: B
Solution :
The current is given by the relation \[i={{t}^{2}}{{e}^{-t}}.\] Hence the emf would be equal to \[e=-L\frac{di}{dt}=-2\times {{10}^{-3}}\times (2t{{e}^{-t}}-{{t}^{2}}{{e}^{-t}})\] If the emf is zero, \[e=0,\]hence \[2t{{e}^{-t}}={{t}^{2}}{{e}^{-t}}\Rightarrow t=2s\]You need to login to perform this action.
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