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Unformatted text preview: Steps in solving a linear
dynamic network (for now): 1. Choose to use node method or loop
method, based on circuit topology
and types of energy storage .. elemehts. 2. Write down node or loop equations,
which yields differential and/or
integral equations for variables. 3. Assume exponential solution, so that
all variables are proportional to e“. 4. Rewrite node or loop equations in
terms of amplitudes. 5. Write equations in matrix form, e.g.,
M(s)l_3= Q. N.B.: Can skip steps (2),
(3), and (4), and do this step directly. 6. Find roots of equation det[M(s)] = 0;
for each root si, find E. By superposition, general solution is QU‘) : Zai EieSit
i From this solution, find the voltage or
current in each capacitor or inductor. Solve for the ai that give the correct
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 Fall '05
 MarkDrela

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