An inductor $(L = 100\: mH)$, a resistor $(R = 100\Omega)$ and a battery $(E = 100 \: V)$ are initially connected in series as shown in the figure. After a long time the battery is disconnected after short circuiting the points A and B. The current in the circuit $1\: ms$ after the circuit is

Question

 

$\begin {array} {1 1} (A)\;1A & \quad (B)\;\large\frac{1}{e}A \\ (C)\;eA & \quad (D)\;0.1A \end {array}$