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Unformatted text preview: will go to 0. V f = 0 We find that the circuit is overdamped, as 2 2 . Thus, the equation takes on the form: = 1 ? 40 + 2 ? 160 We also know that since the switch was closed for a long time, no current is flowing through the capacitor, and we can assume the voltage across the capacitor at time 0 = 30V. V (0) = 30 = A 1 +A 2 Solving the system of equations with the following, = 0 = 40 1 160 2 We get: A 1 = 40V, A 2 = 10V Finally, we can state v (t) as: = 40 ? 40 10 ? 160 , > 0 +...
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 Spring '05
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 Electrical Engineering, Frequency

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