- #31
Shackleford
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hikaru1221 said:
The answer the back of the book has is very long and nasty. I don't know how to get their answer.
Electrical analog and impedance
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SUMMARY
The discussion focuses on the relationship between mechanical systems and electrical circuits, specifically through the lens of impedance and differential equations. Participants analyze the damping forces on two masses, m1 and m2, and relate them to electrical components using an electromechanical analogy. Key formulas discussed include the conversion of mechanical quantities to electrical equivalents, such as q ~ x, i ~ v, k ~ 1/C, L ~ m, and b ~ R. The impedance is calculated from the equivalent circuit formed by these relationships, emphasizing the importance of understanding both the physical and mathematical aspects of the problem.
PREREQUISITES- Understanding of differential equations in mechanical systems
- Familiarity with electromechanical analogies
- Knowledge of electrical circuit components (resistors, inductors, capacitors)
- Basic principles of impedance in AC circuits
- Study the derivation of impedance in complex form: Z_R = R, Z_L = jLω, Z_C = -j/(Cω)
- Learn about the electromechanical analogy in detail, focusing on mass-spring-damper systems
- Explore circuit analysis techniques for combined series and parallel RLC circuits
- Review differential equations related to mechanical systems and their electrical counterparts
Students and professionals in physics and engineering, particularly those specializing in electrical engineering, mechanical systems, and circuit analysis.
The answer the back of the book has is very long and nasty. I don't know how to get their answer.
- #32
hikaru1221
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Well if you don't remember how to calculate impedance, you'd better review your knowledge 
Hint: Use the complex forms of impedance:
Z_R = R
Z_L = jL\omega
Z_C = -\frac{j}{C\omega}
Hint: Use the complex forms of impedance: Z_R = R
Z_L = jL\omega
Z_C = -\frac{j}{C\omega}
- #33
Shackleford
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hikaru1221 said:Well if you don't remember how to calculate impedance, you'd better review your knowledge
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
hikaru1221
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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
Shackleford
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hikaru1221 said:
Okay. Let me see what I can dig up in my Physics II book.
- #36
Shackleford
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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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