Course Objectives - Chapters 6 and 7

- 1.
- Be able to state the
*v*-*i*relationships for capacitors and inductors. - 2.
- Given
*v*or*i*for a capacitor or inductor, be able to determine the other variable. - 3.
- Be able to find the energy
*w*for capacitors and inductors. - 4.
- Be able to find the outputs from simple op-amp circuits using capacitors and inductors (such as integrators and differentiators).
- 5.
- Be able to find equivalent circuits for circuits using capacitors and inductors.

- 1.
- Be able to define
**state variable**. - 2.
- Be able to find the
**characteristic equations**for first and second order differential equations. - 3.
- Be able to find initial conditions and final conditions using
**DC analysis**. - 4.
- Be able to find the
**zero-input**responses of circuits with one capacitor or inductor - i.e., the responses with no input to the circuit. - 5.
- Be able to find the
**step responses**of circuits with one capacitor or inductor - i.e., the responses with a step input. - 6.
- Be able to find the
**sinusoidal responses**of circuits with one capacitor or inductor - i.e., the responses with a sinusoidal input. - 7.
- Be able to decompose the step response and sinusoidal response into
**zero input**response and**zero state**response. - 8.
- Be able to decompose the step response and sinusoidal response into
**natural**(or**transient**) response and**forced**(or**steady-state**) response. - 9.
- Be able to find the zero-input and step responses of circuits with a capacitor and inductor in series.
- 10.
- Be able to find the zero-input and step responses of circuits with a capacitor and inductor in parallel.
- 11.
- Be able to find ,
the
**undamped natural frequency**, and , the**damping ratio**, for second-order constant-coefficient linear differential equations. - 12.
- Be able to find the zero-input and step responses of second-order constant-coefficient linear differential equations.
- 13.
- Be able to define the terms underdamped, critically damped and overdamped.d
- 14.
- Be able to determine if a second-order circuit is overdamped, critically
damped or underdamped.