Circuits - Transfer function of this LRC circuit

AI Thread 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.
wcjy
Messages
73
Reaction score
10
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
-
1617012351432.png

1617011617420.png
1617011638524.png
1617011649133.png
1617011656677.png


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:
Physics news on Phys.org
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 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »
Thread 'Correct statement about a reservoir with an outlet pipe'

Thread 'Correct statement about a reservoir with an outlet pipe'

The answer to this question is statements (ii) and (iv) are correct. (i) This is FALSE because the speed of water in the tap is greater than speed at the water surface (ii) I don't even understand this statement. What does the "seal" part have to do with water flowing out? Won't the water still flow out through the tap until the tank is empty whether the reservoir is sealed or not? (iii) In my opinion, this statement would be correct. Increasing the gravitational potential energy of the...
View full post »
Thread 'A bead-mass oscillatory system problem'

Thread 'A bead-mass oscillatory system problem'

I can't figure out how to find the velocity of the particle at 37 degrees. Basically the bead moves with velocity towards right let's call it v1. The particle moves with some velocity v2. In frame of the bead, the particle is performing circular motion. So v of particle wrt bead would be perpendicular to the string. But how would I find the velocity of particle in ground frame? I tried using vectors to figure it out and the angle is coming out to be extremely long. One equation is by work...
View full post »

Similar threads

Current through an inductor as a function of time
Replies
10
Views
412
Setting up an LRC series circuit with coupled coils
Replies
1
Views
2K
Power Dissipated By Resistor is LRC Circuit
Replies
3
Views
4K
Determining Inductance L in an LC Circuit
Replies
5
Views
2K
LRC Series Circuit Voltage amplitude question.
Replies
4
Views
7K
Combined tensions of an RLC series circuit with AC current
Replies
3
Views
900
Energy stored in the steady state circuit
Replies
7
Views
721
RLC Circuit Analysis -- Two sources and two switches
Replies
3
Views
2K
Changing capacitance effect on ripple in full rectification circuit
Replies
4
Views
3K
Calculation of current in driven series RLC circuit
Replies
8
Views
2K

Hot Threads

Recent Insights

Back
Top