Kirchoff law is so clear, that we can write for the variable current.

 

We have RLC circuit equations written on Wikipedia:
http://en.wikipedia.org/wiki/RLC_circuit

But if we add another resistor in schemartricc ?
back with clarifications

 

For this circuit we write equations and we obtain a system of equations.
How to solve that system of equations ?

The circuit from below Figure,
The signal generator provides exponential form.

The current through Radd is required.
Any answer, or any suggestion are welcome.
But wish no offense for other members of the discussion.

 

In order to solve the system of equations, you first have to obtain the system of equations to be solved. Have you done this? If so, what did you get?

Then you can solve them using any valid technique to solve a system of differential equations and there are several. For the systems of equations that result from the analysis of linear systems, the use of Laplace transforms and very common and powerful.

 

In order to solve the system of equations, you first have to obtain the system of equations to be solved.

Obvious.

I do not think I took a good example. If I was not wrong at calculations, the problem is easy to solve.
But I have seen cases in which even with eigenvectors method I could not solve them.








Free online Wolfram Mathematica for the final equation:
http://www.wolframalpha.com/input/?i=f*y'' + g*y'+h*y = a*b*Exp(b*x)

 

http://en.wikipedia.org/wiki/RLC_circuit

Another question?

How they achieved bandwidth (implicitly Q Factor)?
It can be mathematically demonstrate the bandwidth?
Why the bandwidth (through Q Factor) depend on reactive power divided by active power?

When I think of bandwidth, I imagine the voltage function FFT.