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32.76 Time for current to decay with capacitors and resistors
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[QUOTE="thedarkone80, post: 2634429, member: 205572"] [h2]Homework Statement [/h2] The capacitors in the figure are charged and the switch closes at t=0s. At what time has the current in the 8 ohm resistor decayed to half the value it had immediately after the switch was closed? (The circuit looks something like this; 2 capacitors are in series at 60microfarads each, another is in parallel with the other two at 20microfarads. Above and to the right is a switch, and to the right of the switch is an 8 ohm resisitor. Below and to the right of the 8 ohm resistor is two resistors in parallel, one at 30 ohm and another at 20 ohms.) [h2]Homework Equations[/h2] Q=Qoe^(-t/RC) I=Ioe^(-t/RC) From knight edition 2, a strategic approach [h2]The Attempt at a Solution[/h2] Value of capacitors=50*10^-6 F Value of resistors= 23 ohms Using I=Ioe^(-t/RC) (We don't really need to find the values of I and Io because we know that the current has to decay to 1/2 its original value ln(0.5)= (-t/RC) I think my point of error lies here, but I am not sure... ln(0.5)= (-t/(8ohms*(50*10^-6))) -t=2.77*10^-4 s This answer is incorrect. Considering that the textbook calls this a challanging problem, I am assuming that there is more work needed to answer this question than what I have done. Can someone please help me? [/QUOTE]
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32.76 Time for current to decay with capacitors and resistors
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