I(t) = V/R(1 - e^-Rt/L)
The current through the inductor with the switch in position a is 12/12 = 1 A
Switching to position b:
1 = 12/1212(1 - e^-1212t/2)
1212/12 = 1 - e^-606t
101 = 1 - e^-606t
100 = - e^-606t
ln(100) = 606t
t = ln(100) / 606 = .0076 = 7.6 ms
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