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So I practiced various examples of modeling electrical cricuits and mehanical circuits. I stumbled upon this one:

enter image description here

and it's same as this: enter image description here

now with these direct substitutions: $$k=\frac{1}{L},\;B=\frac{1}{R},\;J=C,\;T_{(t)}=i_{g(t)}$$ I get these equations: $$i_g=i_{l1}+i_{l2}$$ $$i_{R2}=i_{l2}$$ $$i_c=(i_{R2}+i_{l1})-i_{R1}$$

I get this circuit: enter image description here

Now, which number of independent energy-storage elements is in this circuit? Which order is differential equation which describes this circuit and how it looks like? I got this: $$i_{g(t)}=i c+i_{R1}=C \cdot \frac{d uc}{d t}+i_{R1}=C \cdot \frac{d u_c}{d t}+\frac{uc}{R{1}}$$ Is this differential equation which describes this circuit?

Hury H
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  • It's clear right off the bat that the equation is missing something, because the inductor elements are not considered at all. Consider this technique for efficient analysis in lieu of writing differential equations; it scales very well to the three storage elements in your design. – nanofarad Dec 10 '20 at 05:17
  • Since a current source is driving the two parallel branches, the current of the two inductors are related by the algebraic equation, $i_{L1}+i_{L2}=ig$. So I would say that the two inductors together contribute only one effective energy storing element. Also, how sure are you about the correctness of the mechanical to electrical conversion? – AJN Dec 10 '20 at 07:11
  • @AJN to be honest with you I'm not sure for it but anyway, regardless of mehanical to electrical conversion, I wonder how this electrical circuit can be solved and ofcourse if someone sees that this conversion is incorrect it would be nice to notify abot mistake. – Hury H Dec 10 '20 at 08:27
  • WTH does this mean? You're applying a torque to an inductor? – user253751 Dec 10 '20 at 20:21

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