Electrical – Vo in an RLC circuit

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So I have this RLC circuit: rlc1 And its equations for voltage addition, current conservation, ohm's law and a solution of those equations (Vo).

Then there's this RLC circuit: rlc2

With another set of new equations for current conservation and voltage addition, since a capacitor and inductor have been added in series with the resistor.

I want to obtain new equations for the current conservation, voltage addition and the solution (which is the output voltage Vo) to this other RLC circuit, rlc3

which is just like the 2nd RLC but with another resistor added in parallel with the capacitor and inductor. Thanks in advance!

Best Answer

i want to obtain new equations for the current conservation, voltage addition and the solution (which is the output voltage Vo) to this other RLC circuit which is just like the 2nd RLC but with another resistor added in parallel with the capacitor and inductor.

Add a term for the conductance of the added resistor into the appropriate equation, and you'll have it.