1. ECE 201 Circuit Theory I1 Natural Response of an RC Circuit

2. ECE 201 Circuit Theory I2 Typical RC Circuit

3. ECE 201 Circuit Theory I3 Circuit Conditions Assume that the switch has been in position a for a very long time.

4. ECE 201 Circuit Theory I4 The Capacitor is Charged to the Source Voltage V g The circuit now looks like

5. ECE 201 Circuit Theory I5 Write the Node Voltage Equation

6. ECE 201 Circuit Theory I6 Substituting back

7. ECE 201 Circuit Theory I7 Plot of the Natural Response

8. ECE 201 Circuit Theory I8 Current, Power, and Energy

9. ECE 201 Circuit Theory I9 Summary of Procedure Determine the initial voltage across the Capacitor. Determine the Time Constant, τ. Apply