Chapter 4 Flashcards
What is the equation for discharging a capacitor?
Vc(t) = Vi.e^-t/RC
What is the equation for charging a capacitor from a DC source through a resistor?
Vc(t) = Vs - Vs.e^-t/RC
How do capacitances behave under steady state conditions?
As open circuits
How do inductances behave under steady state conditions?
As short circuits
In general, what is the equation for any circuit containing one inductance or capacitance?
First order ODE
In general, what is the equation for circuits that contain two energy-storage elements?
Second order ODE
How do you find the particular solution of a second order equation? (3)
Directly from the circuit
Replace L with short circuits) (Replace C with open circuits
How do you find the complementary solution of a first order equation?
Solving the homogeneous equation