Difference between revisions of "ECE 110/Concept List/S24"
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** 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 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. | ** If there are '''only''' dependent sources, you have to activate the circuit with an external source. | ||
+ | |||
+ | == Lecture 10 - 2/13 - Capacitors and Inductors == | ||
+ | * Intro to capacitors and inductors | ||
+ | * Basic physical models | ||
+ | * Basic electrical models | ||
+ | * Energy storage | ||
+ | * Continuity requirements | ||
+ | * Finding circuit equation models | ||
+ | * DCSS equivalents |
Revision as of 23:25, 13 February 2024
Contents
- 1 Lecture 1 - 1/11 - Course Introduction, Nomenclature
- 2 Lecture 2 - 1/16 - Electrical Quantities
- 3 Lecture 3 - 1/18 - Equivalents
- 4 Lecture 4 - 1/23 - Brute Force Method; Delta-Wye; Voltage Division Part 1
- 5 Lecture 5 - 1/25 - Voltage Division Part 2, Current Division, and Node Voltage Division Part 1
- 6 Lecture 6 - 1/30 - Node Voltage Method
- 7 Lecture 7 - 2/1 - Current Methods
- 8 Lecture 8 - 2/6 - Linearity and Superposition
- 9 Lecture 9 - 2/8 - Thévenin and Norton Equivalent Circuits
- 10 Lecture 10 - 2/13 - Capacitors and Inductors
Lecture 1 - 1/11 - Course Introduction, Nomenclature
- Circuit terms (Element, Circuit, Path, Branch and Essential Branch, Node and Essential Node, Loop and Mesh).
- Accounting:
- # of Elements * 2 = total number of voltages and currents that need to be found using brute force method
- # of Essential Branches = number of possibly-different currents that can be measured
- # of Meshes = number of independent currents in the circuit (or generally Elements - Nodes + 1 for planar and non-planar circuits)
- # of Nodes - 1 = number of independent voltage drops in the circuit
- Electrical quantities (charge, current, voltage, power)
Lecture 2 - 1/16 - Electrical Quantities
- Passive Sign Convention and Active Sign Convention and relation to calculating power absorbed and/or power delivered.
- Power conservation
- Kirchhoff's Laws
- Number of independent KCL equations = nodes-1
- Number of independent KVL equations = meshes
- Example of how to find $$i$$, $$v$$, and $$p_{\mathrm{abs}}$$ using conservation equations and how to check using extra conservation equations
- $$i$$-$$v$$ relationships of various elements (ideal independent voltage source, ideal independent current source, short circuit, open circuit, switch)
- Resistor symbol (and spring symbol)
Lecture 3 - 1/18 - Equivalents
- Resistance as $$R=\frac{\rho L}{A}$$
- $$i$$-$$v$$ relationship for resistors; resistance [$$\Omega$$] and conductance $$G=1/R$$ $$[S]$$
- $$i$$-$$v$$ for dependent (controlled) sources (VCVS, VCCS, CCVS, CCCS)
- Combining voltage sources in series; ability to move series items and put together
- Combining current sources in parallel; ability to move parallel items and put together
- Equivalent resistances
- series and parallel
- Examples/Req
Lecture 4 - 1/23 - Brute Force Method; Delta-Wye; Voltage Division Part 1
- Brute Force method
- Delta-Wye equivalencies (mainly refer to book)
- Voltage Division
Lecture 5 - 1/25 - Voltage Division Part 2, Current Division, and Node Voltage Division Part 1
- Voltage Re-Division
- Current Division and Re-Division
- Basics of NVM
Lecture 6 - 1/30 - Node Voltage Method
- Examples on Canvas
- NVM
- Labels:
- Very Lazy: label ground, then make every other node a new unknown. Voltage sources, voltage measurements, and current measurements will provide additional equations.
- Lazy: label ground, then label any node connected to ground if it has a voltage source or voltage measurement. Make every other node a new unknown. Voltage sources not connected to ground, voltage measurements not connected to ground, and current measurements will provide additional equations.
- Smart: label ground; once a node gets labeled, if there is a voltage source or a voltage measurement anchored at that node, use the source or measurement to label the other node it is attached to. Current measurements will provide additional equations.
- Really Smart: same as smart, only also use voltage drops across resistors with current measurements to relate node voltages.
- Labels:
Lecture 7 - 2/1 - Current Methods
- Examples on Canvas
- BCM
- Labels:
- Label each (essential) branch current, using as few unknowns as possible by incorporating current source and current measurement labels
- Labels:
- MCM
- Labels:
- Label each mesh current, understanding that current sources, current measurements, and voltage measurements will require additional equations.
- Labels:
Lecture 8 - 2/6 - Linearity and Superposition
- Definition of a linear system
- Examples of nonlinear systems and linear systems
- 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
- Use combinations of Phm's Law, Voltaeg Division, and Current Division, rather than setting up and solving multiple equations
- If there are dependent sources, you must keep them activated and solve for measurements each time - this likely means that superposition may not actually make solving things easier.
Lecture 9 - 2/8 - Thévenin and Norton Equivalent Circuits
- 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 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.
Lecture 10 - 2/13 - Capacitors and Inductors
- Intro to capacitors and inductors
- Basic physical models
- Basic electrical models
- Energy storage
- Continuity requirements
- Finding circuit equation models
- DCSS equivalents