I\'ve been told every answer for this one. I think it is 7, but I\'m not sure. I

Question

I've been told every answer for this one.

I think it is 7, but I'm not sure. I believe the time I'm looking for needs to lign up with 3.7. It looks like 7(s) is the closest BUT everyone has different answers so don't let this influence how you do it. Please explain!

The graph below shows the voltage across a discharging capacitor as a function of time. This graph corresponds to the equation Vc-Vmax exp(VRC). 1. Also use the graph, what is the time constant in this case a. 8.5 s b. 7 s d. 3.5 s e. 5.5 s 10 10 15 20 25 Time (s)

Explanation / Answer

for finding the time constant we need to pur t=RC in the equation and we get

Vc=Vmax/e=10/e=3.678 volts

Now looking at the graph

The value of 't' corresponding to Vc =3.678 volts is 7 seconds (closest).

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