2260

Unit 1

N. Cotter

STUDY GUIDE*

Learning Objective

Reading

RLC circuits

RLC char roots/damping

Series

Parallel

Overdamped roots

Underdamped roots

Critically damped roots

Example (pdf)

1.1.    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

1.2.    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)

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

Chap 8:

Sec 8.3-8.4

State-space method

Circuits

Initial conditions

Example 1 | (pdf)

Example 2 | (pdf)

1.4.    Find and evaluate the state vector x at t = 0+ for a circuit with an arbitrary number of R's, L's, and C's; that is, evaluate the initial conditions of the state variables.

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State-space method

Circuits

State-space variables

Equations

Example 1 | (pdf)

Example 2 | (pdf)

Matlab^®

Tutorial | (pdf)

1.5.    Write the first-order coupled differential equations for circuits in the form dx/dt = f(x, t) where x is the state vector and t is time.

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