ule silape described by an exponent decau Question 3-9: Use the exponential func

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ule silape described by an exponent decau Question 3-9: Use the exponential function to calculate the time constant for your capacitor resistor combination. [Hint What time the the value for v() be just 0.37Vo? is is just Vo/e, where e is the base of natural logarithms.)] Use your values for R and C. Show all work. Does this value agree with your measured value? Does this mathematical function describe the data you collected? If you have more time, do the following extension to examine this question. Extension 3-3: Does the observed Decay curve Fit Theory? 1. Use the fit routine in the software to see if the voltage decay curv an be fit by an exponential function. Be sure to select and fit only that tion of the to voltage graph where the is value. the equation of time when the voltage has just reached its minimum record Tnnh nnd affix it over the axes above, and

Explanation / Answer

from the Formula

V = Vo e^-t/RC

here R = 22 ohm s

C = 0.033 F

so

e^-t/RC = 0.37

-t/RC = ln (0.37)

-t/RC = -0.9942

t/RC = 0.9942

t = time constant = 0.9942* 22* 0.033

t = 0.721 sec

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