Passive RC Circuit Natural Response

Purpose:

Prelab:

We constructed the circuit above, and calculate value of Vc(t), Tau at t>0

Value of Vc(0) = 3.221V through Vc(t) = 3.221e ^(-t/Tau)
Our theoretical value of Tau is 0.04752s compared to experimental value of Tau is 0.0491s
% Diff  = 3.21%
We find the value of experimental value of Tau by choosing value of V1 = 3.221V and V2=1.005V, then record their delta t and plug in to the equation of Vc(t) to find Tau.

Here is the picture of our circuit constructed.

This makes sense because when we unplug (like a switch in the description of the lab), V of capacitor drops down exponentially to 0.