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Unformatted text preview: the switch is closed, the inductor prevents the rapid buildup of current in its branch, so at that moment i 2 = 0 and i 1 = i . Thus i = i , so i 1 = ie Rt/L and i 2 = i i 1 = i 1 e Rt/L . (b) When i 2 = i 1 , e Rt/L = 1 e Rt/L = e Rt/L = 1 2 . Taking the natural logarithm of both sides (and using ln(1 / 2) = ln 2) we obtain Rt L = ln 2 = t = L R ln 2 ....
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 Fall '08
 SPRUNGER
 Physics, Current

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