Difference between revisions of "ECE 110/Concept List/F22"
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− | + | == Lecture 9 - 9/26 == | |
− | + | * [https://www.youtube.com/watch?v=VDKIeyAnCBc Joseph Haydn - Piano Concerto No. 11 in D major] (I mean, it had to be on the board for some reason, right? | |
* Thévenin and Norton Equivalents | * Thévenin and Norton Equivalents | ||
* Circuits with independent sources, dependent sources, and resistances can be reduced to a single source and resistance from the perspective of any two nodes | * Circuits with independent sources, dependent sources, and resistances can be reduced to a single source and resistance from the perspective of any two nodes | ||
* Equivalents are ''electrically'' indistinguishable from one another | * Equivalents are ''electrically'' indistinguishable from one another | ||
− | * Several ways to solve | + | * Several ways to solve: |
+ | ** If there are neither independent nor dependent sources, find $$R_{eq}$$. | ||
+ | ** If there are only independent sources, turn independent sources off and find $$R_{eq}$$ between terminals of interest to get $$R_{T}$$. Then find $$v_{oc}=v_{T}$$ and recall that $$v_T=R_Ti_N$$ | ||
+ | ** If there are both independent sources and dependent sources, solve for $$v_{oc}=v_T$$ first, then put a short circuit between the terminals and solve for $$i_{sc}=i_N$$. Recall that $$v_T=R_Ti_N$$ | ||
+ | ** If there are '''only''' dependent sources, you have to activate the circuit with an external source and find the ration of $$v_{TEST}$$ to $$i_{TEST}$$. | ||
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+ | |||
+ | <!-- | ||
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== Lecture 11 == | == Lecture 11 == |
Revision as of 19:47, 26 September 2022
$$\newcommand{E}[2]{#1_{\mathrm{#2}}}$$List of concepts from each lecture in ECE_110 -- this is the Fall 2022 version.
Contents
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 - 9/2
- 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!
Lecture 3 - 9/5
- 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)
Lecture 4 - 9/9
- How resistance is calculated $$R=\frac{\rho L}{A}$$
- Equivalent resistances; Examples/Req
- Voltage division (and redivision)
Lecture 5 - 9/12
- Current division (and redivision)
- Simple Node Voltage Method (resistors and voltage sources)
Lecture 6 - 9/16
- More Node Voltage Method
- Examples in Resources/Examples/Methods page on Sakai
Lecture 7 - 9/19
- Mesh Current Method
- Examples in Resources/Examples/Methods page on Sakai
- Symbolic calculations in SymPy
- SymPy/Simultaneous Equations has some info
- Examples in Resources/Examples/Methods page on Sakai
Lecture 8 - 9/22
- Branch Current Method
- Examples in Resources/Examples/Methods page on Sakai
- Linearity
- Nonlinear system examples (additive constants, powers other than 1, trig):
- $$\begin{align*} y(t)&=x(t)+1\\ y(t)&=(x(t))^n, n\neq 1\\ y(t)&=\cos(x(t)) \end{align*} $$
- Linear system examples (multiplicative constants, derivatives, integrals):
- $$\begin{align*} y(t)&=ax(t)\\ y(t)&=\frac{d^nx(t)}{dt^n}\\ y(t)&=\int x(\tau)~d\tau \end{align*} $$
- Superposition
- Redraw the circuit as many times as needed to focus on each independent source individually
- If there are dependent sources, you must keep them activated and solve for measurements each time, and you must calculate any controlling variables each time
- You cannot calculate power until you have the total, final currents or voltages for elements - power is nonlinear!
Lecture 9 - 9/26
- Joseph Haydn - Piano Concerto No. 11 in D major (I mean, it had to be on the board for some reason, right?
- Thévenin and Norton Equivalents
- Circuits with independent sources, dependent sources, and resistances can be reduced to a single source and resistance from the perspective of any two nodes
- Equivalents are electrically indistinguishable from one another
- Several ways to solve:
- If there are neither independent nor dependent sources, find $$R_{eq}$$.
- If there are only independent sources, turn independent sources off and find $$R_{eq}$$ between terminals of interest to get $$R_{T}$$. Then find $$v_{oc}=v_{T}$$ and recall that $$v_T=R_Ti_N$$
- If there are both independent sources and dependent sources, solve for $$v_{oc}=v_T$$ first, then put a short circuit between the terminals and solve for $$i_{sc}=i_N$$. Recall that $$v_T=R_Ti_N$$
- If there are only dependent sources, you have to activate the circuit with an external source and find the ration of $$v_{TEST}$$ to $$i_{TEST}$$.