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The circuit below will be most efficiently analyzed by obtaining the Thevenin equivalent circuit for the circuit to the left of the points (a-b) on the schematic. The capacitor is initially uncharged.
a. Find VTH and RTH for the circuit to the left of points (a-b).
b. Write the expressions for VC(t) and IC(t), given the Thevenin equivalent circuit.
c. After the switch S1 is thrown into position 1 (pos1), what will be the final voltage across C, the capacitor?
d. How long will it take to get the voltage across the capacitor to reach 2 Volts?
e. What is the current IC when VC = 2 Volts?
f. After the capacitor has been fully charged, switch S1 is thrown to position 2 (pos2). How long will it take VC to reach zero Volts?
g. How long will it take to bring VC down to 3 Volts?
examples problems for decimation in time
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(a) Find v out in the circuit shown in Figure. (b) With V i = 2V, R 1 = R 2 = 2.5k, R 3 = 5k, and A = 100, find v out .
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