Electrical analog and impedance

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The discussion revolves around understanding the relationship between mechanical systems and electrical circuits, specifically focusing on impedance and differential equations for two masses, m1 and m2. Participants clarify the damping forces acting on the masses and the need to convert mechanical quantities into their electrical analogs, such as relating force to voltage and mass to inductance. There is an emphasis on constructing an equivalent circuit from the derived equations to facilitate impedance calculation. The conversation highlights the importance of using complex forms of impedance for more complicated circuits, as opposed to simple series RLC circuits. Overall, the thread provides insights into the electromechanical analogy and the steps necessary to calculate impedance in a combined series and parallel circuit.
  • #31
hikaru1221 said:
Let me redraw the circuit in the standard way. See the picture attached.
Now can you calculate the impedance from the circuit?

The answer the back of the book has is very long and nasty. I don't know how to get their answer.
 
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  • #32
Well if you don't remember how to calculate impedance, you'd better review your knowledge :smile: Hint: Use the complex forms of impedance:
Z_R = R
Z_L = jL\omega
Z_C = -\frac{j}{C\omega}
 
  • #33
hikaru1221 said:
Well if you don't remember how to calculate impedance, you'd better review your knowledge :smile: Hint: Use the complex forms of impedance:
Z_R = R
Z_L = jL\omega
Z_C = -\frac{j}{C\omega}

Well, I put an equation for impedance in a previous post. The only difference is it's not in complex form. Why does it have to be in complex form?

http://i111.photobucket.com/albums/n149/camarolt4z28/2010-09-25233241.jpg?t=1285475708
 
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  • #34
That's not the right one. That formula is only true for the case that there are only 3 elements R, L, C in series with the source (RLC circuit). It doesn't apply to this case where the circuit is much more complicated.
 
  • #35
hikaru1221 said:
That's not the right one. That formula is only true for the case that there are only 3 elements R, L, C in series with the source (RLC circuit). It doesn't apply to this case where the circuit is much more complicated.

Okay. Let me see what I can dig up in my Physics II book.
 
  • #36
Nope. The Physics II book only covers Series LRC circuit. This of course is a combination series and parallel LRC circuit.
 

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