In the L R circuit shown in figure, switch S is closed at time $$t = 0$$, the charge that passes through the battery of emf E in one time constant is (e being the base of natural logarithm).

A

$$\frac{EL}{eR^2}$$

B

$$\frac{EL}{eR}$$

C

$$\frac{eER^2}{L}$$

D

$$\frac{EL}{R}$$