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ECE 201 Circuit Theory I1 Natural Response of an RC Circuit

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ECE 201 Circuit Theory I2 Typical RC Circuit

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

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

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ECE 201 Circuit Theory I5 Write the Node Voltage Equation

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ECE 201 Circuit Theory I6 Substituting back

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ECE 201 Circuit Theory I7 Plot of the Natural Response

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ECE 201 Circuit Theory I8 Current, Power, and Energy

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

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