ECT 2440 Chapter Notes - Chapter 4: Step Response, Step Function, Matlab
Document Summary
Discharge of a capacitance through a resistance. Chapter 4: transients: the voltage across the capacitor cannot change instantaneously when the switch closes. The voltage can be expressed as: the capacitor voltage decays exponentially to zero, the time interval is called the time constant of the circuit. Charging a capacitance from a dc source through a resistance: when a dc source is contained in the circuit, the total response contains two parts: forced (or steady-state) and transient, the voltage can be written as. The second term on the right-hand side is called the transient response, which eventually decays to negligible values. The transient terms in the expressions for currents and voltages in rlc circuits decay to zero with time. Current through a capacitance: for steady- state conditions with dc sources, capacitances behave as open circuits. Voltage through a inductor: for steady- state conditions with dc sources, inductances behave as short circuits.
