Electronics: Difference between revisions
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The "lumped element model" concentrates components to single points, and assumes ideal (simple) behavior. This induces a graph of finitely many planes, and allows us to work with ODEs rather than PDEs. It's more useful IMHO to relax the concentration, and treat components as ordered cycles corresponding to their geometry. In this model, when wires intersect, they become a single wire. A wire is a node, and each pin is a node. | The "lumped element model" concentrates components to single points, and assumes ideal (simple) behavior. This induces a graph of finitely many planes, and allows us to work with ODEs rather than PDEs. It's more useful IMHO to relax the concentration, and treat components as ordered cycles corresponding to their geometry. In this model, when wires intersect, they become a single wire. A wire is a node, and each pin is a node. | ||
* Kirchhoff's Laws: corollaries of Maxwell's Laws in the low-frequency limit (wavelengths ≫ circuit size) | |||
** First Law / Junction Rule: the algebraic sum of currents at a node is zero (what flows in must flow out) | |||
** Second Law / Loop Rule: the directed sum of voltages around a closed loop is zero | |||
==PCB design== | ==PCB design== | ||