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Calculating time constant for RC circuit

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ehelms

Joined Apr 27, 2011
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My task is to calculate the time constant for the RC circuit depicted in the attachment. I just wanted to make sure I was doing it correctly. Here is my attempt:
To calculate the time constant I first added the resistors that were in parallel Rtotal=(R1*R2)/(R1+R2) to get a total of 12Ω then added that to the other resistor (8Ω) to get a total of 20Ω. I then added the capacitors that were in series 1/Ctotal=1/60+1/60 to get 30uF then calculated the total of the capacitors in parallel to get a total of 50uF. I then solved T=RC to get 10^-3s, or 1000us.

Any feedback would be greatly appreciated!
Thanks
 

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