how to analyze a first order circuit having two inductors (or two capacitors) connected neither in series nor Parallel .I mean what will be the differential equation?.what will be the time constant?Can we convert it into equivalent circuit containing one inductor??if yes,how??Any help will be appreciated.thanks
2 inductors or capacitors in seires or parallel can be converted to a single equivalent devices. Inductors combine just like resistor in series or parallel. Capacitors combine the reverse way resistors do. In parallel, CtC1+C2. In series CC1 C2/(C1+C2)
You cannot convert a T or Pi type filter into equivalent components and expect the same Q. Those designs aren't to use up excess components in a warehouse somewhere. So, you can build filters that are resonant at the same frequencies with fewer components, but the configuration changes and so do the circuit parameters.
