Time remaining:
Calculate the time constant for this circuit when the switch is on b.

label Physics
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Apr 20th, 2015

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

Apr 20th, 2015

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Apr 20th, 2015
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Apr 20th, 2015
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