2240

Unit 2
STUDY GUIDE
*

 

To pass the unit exam, you must be able to do the following (using books and notes):

Learning Objective

Reading

Circuits

Max power xfer

Example (pdf)

 

2.1    Apply the maximum power transfer theorem.

Chap 4:

Sec 4.12

Superposition

Circuits

VDC + VDC

Example 1 (pdf)

Example 2 (pdf)

 

2.2    Apply the principle of superposition.

Chap 4:

Sec 4.13

RLC circuits

C (capacitor) equations

i = C dv/dt

Series capacitors

Parallel capacitors

Initial conditions

C = open circuit

Charge sharing

V src model

Final conditions open circuit

Energy stored

Example 1 (pdf)

Example 2 (pdf)

L (inductor) equations

v = L di/dt

Series inductors

Parallel inductors

Initial conditions

L = wire

Current division

I src model

Final conditions wire

Energy stored

Example 1 (pdf)

Example 2 (pdf)

 

2.3    For a specified current through an inductance, find the voltage across it, and vice versa.  For a specified voltage across a capacitance, find the current through it, and vice versa.  From the voltages and currents, find energy stored in inductances and capacitances.  Find the equivalence of inductances in series and parallel and of capacitances in series and parallel.

Chap 6:

Sec 6.1-6.3

RLC circuits

General RC/RL solution

General solution

Time const Thev equiv

Solution procedure

Example 1 (pdf)

Example 2 (pdf)

 

2.4    Find the natural response of any circuit containing just one inductance or one capacitance (or one equivalent inductance or one equivalent capacitance).

Chap 7:

Sec 7.1-7.2

RLC circuits

General RC/RL solution

General solution

Time const Thev equiv

Solution procedure

Example 3 (pdf)

Example 4 (pdf)

 

2.5    Find the step-function response of any circuit containing just one inductance or one capacitance (or one equivalent inductance or one equivalent capacitance).

Chap 7:

Sec 7.3

RLC circuits

General RC/RL solution

General solution

Time const Thev equiv

Solution procedure

Example 5 | (pdf)

Example 6 (pdf)

Example 7 (pdf)

 

2.6    For given RC and RL circuits (containing only one equivalent storage element) give qualitative explanations based on the interpretations that:  (1) uncharged capacitance looks initially like a short circuit and finally like an open circuit, and (2) inductance with no initial current looks initially like an open circuit and finally like a short circuit.

Chap 7:

Sec 7.4-7.5

RLC circuits

RLC char roots/damping

Series

Parallel

Overdamped roots

Underdamped roots

Critically damped roots

Example (pdf)

 

2.7    Find the roots of the characteristic equation that describes any voltage or current in any series or parallel RLC circuit.  Determine whether the response of a series or parallel RLC circuit is underdamped, critically damped, or overdamped.

Chap 8

Sec 8.1-8.2

RLC circuits

RLC General solution

Initial conditions

 

2.8    Evaluate the initial conditions of series and parallel RLC circuits.

Chap 8:

Sec 8.3-8.4

RLC circuits

General RLC solution

Initial conditions

Damping: over, under, critical sol'n forms

Example 1 (pdf)

Example 2 (pdf)

Example 3 (pdf)

Example 4 (pdf)

Example 5 (pdf)

Superposition

Circuits

Step + Natural response

Example (pdf)

 

2.9    Evaluate the arbitrary constants in the solution for any voltage or current in an RLC circuit.

Chap 8:

Sec 8.3-8.4

 



*     The material in this handout is based extensively on concepts developed by C. H. Durney, Professor Emeritus of the University of Utah.