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Wed Feb 17 21:50:26 EST 2016

## Summary: why spice looks like it does

- KCL gives an easy way to dervice equations from a netlist: one
equation per node, except ground node.
- This expresses connectivity as an admittance (conductance) matrix G,
each element corresponding to the conductance of a single resistor.
- To deal with ideal voltage sources, the equations can be re-arranged
from Gv=i, [G|-1][v|i]^T=0 form to Ap+Bs=0, where p contains all
variabiable voltages/currents and s contains all voltage/current
sources.
- If G represents the connectivity of the network, each element in G,
if not a static resistor, is a current linear approximation of
dynamic and nonlinear effects. Offsets are determined by voltage,
current sources.

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