Circuits - Transfer function of this LRC circuit

Thread starter wcjy
Start date Mar 29, 2021
Tags

Circuit Circuits Function Lrc Transfer function

Click For Summary

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.

Mar 29, 2021

wcjy

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: -

Got B = 9.

My school doesn't provide answers, hence could someone double check if my answers is right? Thanks!

Last edited by a moderator: Mar 29, 2021

Physics news on Phys.org

Mar 29, 2021

gneill

Mentor

Looks good, but I think that you miscopied the constant 2 as a 3 in the final line of your derivation.

Mar 29, 2021

wcjy

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 'Bernoulli vs real life experiment'

If have close pipe system with water inside pressurized at P1= 200 000Pa absolute, density 1000kg/m3, wider pipe diameter=2cm, contraction pipe diameter=1.49cm, that is contraction area ratio A1/A2=1.8 a) If water is stationary(pump OFF) and if I drill a hole anywhere at pipe, water will leak out, because pressure(200kPa) inside is higher than atmospheric pressure (101 325Pa). b)If I turn on pump and water start flowing with with v1=10m/s in A1 wider section, from Bernoulli equation I...

View full post »