ECE 110/Concept List/F22

$$\newcommand{E}[2]{#1_{\mathrm{#2}}}$$List of concepts from each lecture in ECE_110 -- this is the Fall 2022 version.

Lecture 1 - 8/29

Main web page: http://classes.pratt.duke.edu/ECE110F22/
Circuit terms (Element, Circuit, Path, Branch and Essential Branch, Node and Essential Node, Loop and Mesh).
Electrical quantities (charge, current, voltage, power)

Passive ($$+\rightarrow -$$) Sign Convention and Active ($$-\rightarrow +$$) Sign Convention
Circuit topology (parallel, series)
Passive Sign Convention and Active Sign Convention and relation to calculating power absorbed and/or power delivered
Conservation Laws (conservation of power, Kirchhoff's Voltage Law, Kirchhoff's Current Law):$$ \begin{align*} \sum_{\mbox{all elements}}\E{p}{abs}&=0 & \sum_{\mbox{closed path}}\E{v}{drop}&=0 & \sum_{\mbox{closed shape}}\E{i}{leaving}&=0 \end{align*} $$
Accounting:
- The number of independent KVL equations is equal to the number of meshes
- The number of independent KCL equations is equal to the number of nodes minus one
Example of how to find $$i$$, $$v$$, and $$p_{\mathrm{abs}}$$
$$i$$-$$v$$ characteristics of various elements (short circuit, open circuit, switch, ideal independent voltage source, ideal independent current source, resistor)
Resistance $$R$$ in $$\Omega$$, Conductance $$G$$ in $$\mho$$ or S.
- For a resistor, $$v=Ri$$
- For purely resistive elements, $$R=\frac{1}{G}$$, so $$i=Gv$$ as well!

Dependent sources (VCVS, VCCS, CCVS, CCCS)
Brute Force Method and labels
Equivalents for voltage sources in series, current sources in parallel
Ability to rearrange items in series or parallel (no impact on element values; may impact node / mesh values)