View source for ECE 382/Spring 2010/Test 2/RSR

The following is the list of approved or denied equations for [[ECE 141/Spring 2010/Test 2|Test 2]] for [[ECE 141/Spring 2010|ECE 141 Spring 2010]].
For an example equation sheet from Spring 2009, see: [http://www.duke.edu/~mrg/ECE141/eqns2s09.pdf Equation Sheet]

==== Approved ====
===== Chapter 2 =====
* Motor Equation (2.153)
===== Chapter 4 =====
* 1st Order Rise Time (4.9, 159)
* 1st Order Settling Time (4.10, p. 159)
* 2nd Order Peak Time (4.34, p. 171)
* 2nd Order %OS (4.38, p. 171)
* 2nd Order Damping Ratio (4.39, p. 171)
* 2nd Order Settling time (4.42, p. 172)
* 2nd Order Damped Frequency (4.44, p. 173)
* 2nd Order Normalized Rise Time (footnote 5, p. 173)
===== Other =====
* Geq from T for unity feedback
<center><math>\begin{align}
G_{eq}&=\frac{T}{1-T}\\
T&=\frac{N_T}{D_T}\\
G_{eq}&=\frac{N_T}{D_T-N_T}
\end{align}</math></center>
* T from Geq for unity feedback
<center><math>\begin{align}
T&=\frac{G_{eq}}{1+G_{eq}}\\
G_{eq}&=\frac{N_G}{D_G}\\
T&=\frac{N_G}{D_G+N_G}
\end{align}</math></center>


==== Denied / Must Memorize / Not Needed====
* Motor transfer function constants (2.162 & 2.163, p. 79) - will not need
* Transfer function from state space (3.73, p. 133) - will not need
* General 2nd order transfer function (4.22, p. 166) - need to memorize
* Mason's Rule (5.28, p. 240) - need to memorize that and what the terms mean.
* Formula for system type, static error constants, and steady state errors (Table 7.2, p. 336) - need to memorize

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