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