120 likes | 330 Views
Natural Response of an RC Circuit. Typical RC Circuit. Circuit Conditions. Assume that the switch has been in position a for a very long time. The Capacitor is Charged to the Source Voltage V g. The circuit now looks like. Write the Node Voltage Equation. Substituting back.
E N D
Natural Response of an RC Circuit ECE 201 Circuit Theory I
Typical RC Circuit ECE 201 Circuit Theory I
Circuit Conditions • Assume that the switch has been in position a for a very long time. ECE 201 Circuit Theory I
The Capacitor is Charged to the Source Voltage Vg • The circuit now looks like ECE 201 Circuit Theory I
Write the Node Voltage Equation ECE 201 Circuit Theory I
Substituting back ECE 201 Circuit Theory I
Plot of the Natural Response ECE 201 Circuit Theory I
Current, Power, and Energy ECE 201 Circuit Theory I
Summary of Procedure • Determine the initial voltage across the Capacitor. • Determine the Time Constant, τ. • Apply ECE 201 Circuit Theory I