Difference between revisions of "ECE 110/Concept List/F22"
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* Circuit terms (Element, Circuit, Path, Branch and Essential Branch, Node and Essential Node, Loop and Mesh). | * Circuit terms (Element, Circuit, Path, Branch and Essential Branch, Node and Essential Node, Loop and Mesh). | ||
* Electrical quantities (charge, current, voltage, power) | * Electrical quantities (charge, current, voltage, power) | ||
| − | |||
== Lecture 2 == | == Lecture 2 == | ||
* Passive ($$+\rightarrow -$$) Sign Convention and Active ($$-\rightarrow +$$) Sign Convention | * Passive ($$+\rightarrow -$$) Sign Convention and Active ($$-\rightarrow +$$) Sign Convention | ||
* Circuit topology (parallel, series) | * Circuit topology (parallel, series) | ||
* Passive Sign Convention and Active Sign Convention and relation to calculating power absorbed and/or power delivered | * 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): | + | * Conservation Laws (conservation of power, Kirchhoff's Voltage Law, Kirchhoff's Current Law):<center>$$ |
| − | $$ | ||
\begin{align*} | \begin{align*} | ||
\sum_{\mbox{all elements}}\E{p}{abs}&=0 & | \sum_{\mbox{all elements}}\E{p}{abs}&=0 & | ||
| Line 17: | Line 15: | ||
\sum_{\mbox{closed shape}}\E{i}{leaving}&=0 | \sum_{\mbox{closed shape}}\E{i}{leaving}&=0 | ||
\end{align*} | \end{align*} | ||
| − | $$ | + | $$</center> |
* Accounting: | * Accounting: | ||
** The number of independent KVL equations is equal to the number of meshes | ** The number of independent KVL equations is equal to the number of meshes | ||
| Line 23: | Line 21: | ||
* Example of how to find $$i$$, $$v$$, and $$p_{\mathrm{abs}}$$ | * 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) | * $$i$$-$$v$$ 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! | ||
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Revision as of 20:56, 2 September 2022
$$\newcommand{E}[2]{#1_{\mathrm{#2}}}$$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)
Lecture 2
- 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!
