Circuits - Transfer function of this LRC circuit

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The discussion revolves around verifying the transfer function of an LRC circuit with a given parameter B = 9. Participants are focused on checking the accuracy of the calculations provided, specifically pointing out a potential error where a constant was miscopied. The consensus is that the derivation appears correct aside from this minor mistake. The conversation emphasizes the importance of accuracy in circuit analysis. Overall, the community is supportive in helping ensure the correctness of the calculations.
wcjy
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Homework Statement
Given the following circuit with the inductor L1= 8(H). The transfer function between Vo(s) and Vs(s) can be described as:
$$\frac{V_o(s)}{V_s(s)} = \frac{1}{as^3+bs^2+cs+d}$$

Find a, b, c and d in this equation. Change the inductor by L1 by another inductor L2 = B(H) such that the system has a pole at S = -2/3. Find B
Relevant Equations
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Got B = 9.

My school doesn't provide answers, hence could someone double check if my answers is right? Thanks!
 
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Looks good, but I think that you miscopied the constant 2 as a 3 in the final line of your derivation.
 
gneill said:
Looks good, but I think that you miscopied the constant 2 as a 3 in the final line of your derivation.
thank you so much!
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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