RLC circuit with more the 2 storage elements

1. The problem statement, all variables and given/known data
There is no real problem, so I'll just make up a arbitrary one. A series RLC circuit with a voltage source x(t), but say there is a resistor in parallel with the capacitor, followed by an inductor in parallel with that resistor. Just assume all the values of the inductors, resistors, and capacitor are 1 to make it easy.


2. Relevant equations
How would you derive a differential equation for an RLC circuit that contains more than 2 storage elements? I know the equation should be a 3rd order DE since it'll contain 3 storage elements, but I don't really know how to go about finding it. I can do series and parallel RLC's fine, but when it involves an extra storage element i get thrown off.
 

The Physics Forums Way

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top