A) \[0.63\,\,{{I}_{0}}\]
B) \[0.50\,\,{{I}_{0}}\]
C) \[0.37\,\,{{I}_{0}}\]
D) \[{{I}_{0}}\]
Correct Answer: A
Solution :
Equation for growth of current in L-R circuit is given by \[I={{I}_{0}}(1-{{e}^{-\,t\,/\,l}})\] at a time equal to one time constant i.e., at \[t\,\,=\,\,I\] \[I={{I}_{0}}(1-{{e}^{-\,1/t}})\,\,\,\,or\,\,\,\,I={{I}_{0}}\left( 1-\frac{1}{e} \right)\,\,\,\Rightarrow \,\,I=0.63\,{{I}_{0}}\]
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