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

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Presentation transcript:

ECE 201 Circuit Theory I1 Natural Response of an RC Circuit

ECE 201 Circuit Theory I2 Typical RC Circuit

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

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

ECE 201 Circuit Theory I5 Write the Node Voltage Equation

ECE 201 Circuit Theory I6 Substituting back

ECE 201 Circuit Theory I7 Plot of the Natural Response

ECE 201 Circuit Theory I8 Current, Power, and Energy

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