http://www.baylor.edu/content/services/document.php/21216.pdf You have construct

Question

http://www.baylor.edu/content/services/document.php/21216.pdf You have constructed an RC circuit and you see the trace tothe right on your oscilloscope screen. You have set the verticalscale to 1 volt per square and the horizontal to 10ms per square.What is the time constant of the RC circuit? (Show yourwork). Please help! Possible relevant equations: Vc(t)=V0(1-e-t/RC) VR(t)=V0e-t/RC =RC http://www.baylor.edu/content/services/document.php/21216.pdf You have constructed an RC circuit and you see the trace tothe right on your oscilloscope screen. You have set the verticalscale to 1 volt per square and the horizontal to 10ms per square.What is the time constant of the RC circuit? (Show yourwork). Please help! Possible relevant equations: Vc(t)=V0(1-e-t/RC) VR(t)=V0e-t/RC =RC =RC

Explanation / Answer

Time taken to decay 90 % is t = 2 * 10 ms     Since from figure                                              t= 0.02 s we know V = Vo e -t /RC At time t , V = ( 100-90 %) V =10% V = 0.1Vo plug this weget 0.1 Vo = Vo e -0.02/RC                      -0.02/RC = ln(0.1)                                    = -2.3025                              RC = 8.68 ms time constant =8.68 m s

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