Question

Problem 3. Consider the network in Figure 2 with the current source input and output given by i (t). Let u be a real scalar.

(a) Draw the circuit in the s-domain. (b). Find the transfer function. (c) Find the poles and the zeros, if any, of the trans

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Giveni 8ks MVS + aks ig VA iol Zah Element f(t) F(S) Voltage souree vo vols Current source To Tols To Tols Inductor (Toto) IsМИ 2k 8k Mive 95 circuit Qigno ign tak ی S dragram ++ 210 Apply KUL 3 zigxio 3 3 2x10 + 8x10 t + Vo +25- dio=0 S S [- digxtoConsider: M Ž Zz Vis Vols) 72 Transfer function is given by TitZ2 similarly applying the same transfer function formula for td For a transfer function if any poles of on ane situated on Then it is right side ongin unstable. So so us lok which should

Add a comment
Know the answer?
Add Answer to:
Problem 3. Consider the network in Figure 2 with the current source input and output given...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • at a zero.) 4.11 Consider the network in figure 4.14 to be a 2-input, 2-output filter...

    at a zero.) 4.11 Consider the network in figure 4.14 to be a 2-input, 2-output filter with input vector x(n) and output vector s(n) a. Write state equations for the network. b. Find the state matrices A, B, C, D (all 2 x 2) c. Find the matrix system function (z) relating the vector z transforms X(z) and S(z), which is given by the general- ization of (4.4.13), i.e., H(z) D + C(zI - A) B. +oking s(n) (n) Z...

  • 0.5 F 20 u(t) v 1H Network for Problem 2 e. Find the s-domain current lab(s),...

    0.5 F 20 u(t) v 1H Network for Problem 2 e. Find the s-domain current lab(s), delivered by the network to the RL load connected between terminals ab. f. Find the Transfer Function H(s) considering that the Input is the network voltage source Vs(s), and that the Output is the current lad() of item , immediately above. & Use H(s) to derive the Impulse Response h(t) of the network h. Write an expression for the Output Current lab() exclusively in...

  • please show steps 4. (25 points) Laplace and LCCDE Systems Consider an LTI system with input-output...

    please show steps 4. (25 points) Laplace and LCCDE Systems Consider an LTI system with input-output relation described by the LCCDE: -2y(t) - y0) + 3x(t) + deco (O) = (a) (5 pts) Find the transfer function H(s) and write it in factored form. (b) (5 pt) Sketch the ROC corresponding to H(s) if it is known the system is causal. Mark the poles and zeros. (c) (5 pts) Sketch the ROC corresponding to H(s) if it is known the...

  • Problem 5 (20 Points): For the circuit shown below, the input is the current source, I(t) and the...

    Problem 5 (20 Points): For the circuit shown below, the input is the current source, I(t) and the output is eo. 1). Find the state variable model. Take ec and IL as state variables (refer notes from Chapter-6). 2). Apply Laplace Transform on the state variable model (from part-1) and show that the transform of the output (eo) is given by the expression: 사스 ; if the initial conditions, L(0) and ec(0) are known. Note: ec(0)-eo(0) R L R L...

  • Problem#3 (16 points) Consider a system that has R(S) as the input and Y (S) as...

    Problem#3 (16 points) Consider a system that has R(S) as the input and Y (S) as the output. The transfer function is given by: Y(S) R(S) 45+12 What are the poles of the system? For r(t) output in the time-domain y(t) For r(t) = t, t output in the time-domain y(t) 1- 2- 1,t 0, use partial fraction expansion and inverse Laplace transform to find the 3- 0, use partial fraction expansion and inverse Laplace transform to find the

  • Given a zero-state LTI system whose impulse response h(t) = u(t) u(t-2), if the input of...

    Given a zero-state LTI system whose impulse response h(t) = u(t) u(t-2), if the input of the system is r(t), find the system equation which relates the input to the output y(t) 4. (20 points) If a causal signal's s-domain representation is given as X (s) = (s+ 2)(s2 +2s + 5) (a) find all the poles and zero of the function. 2 1 52243 orr

  • Exercise 4) Consider the RC network shown, where v(t) is the input voltage and ve(t) is...

    Exercise 4) Consider the RC network shown, where v(t) is the input voltage and ve(t) is the circuit output voltage. R is the same for all resistors (4a) Write differential equations of the circuit in terms of the currents. Convert the equa tions to the Laplace domain (5 marks)v(oO 4b) Find the transfer function Ve(s)/V(s) (5 marks) (4c) Using the final value theorem, calculate the steady-state value of ve(t) for an unit step input of u(t), i.e., u(t)-1 V (2.5...

  • Problem 3. The input and the output of a stable and causal LTI system are related...

    Problem 3. The input and the output of a stable and causal LTI system are related by the differential equation dy ) + 64x2 + 8y(t) = 2x(t) dt2 dt i) Find the frequency response of the system H(jw) [2 marks] ii) Using your result in (i) find the impulse response of the system h(t). [3 marks] iii) Find the transfer function of the system H(s), i.e. the Laplace transform of the impulse response [2 marks] iv) Sketch the pole-zero...

  • yce) Figure 1: Time-domain block diagram, with input u(t) and output y(t). For the block diagram...

    yce) Figure 1: Time-domain block diagram, with input u(t) and output y(t). For the block diagram shown in Figure find the system transfer function Y (s)/U(s).

  • Problem 2: (40 pts) Part A: (20pts) A third-order system has an of Y(s)-L[y(t) corresponding to...

    Problem 2: (40 pts) Part A: (20pts) A third-order system has an of Y(s)-L[y(t) corresponding to a unit step input u(t) is known to be input of u(t) and an output of y(t). The forced response portion 1 Ys) (3 +3s2+ 4s +5) = a) Determine the input-output differential equation for the system b) From your result in a), determine the transformed free response Yee (s) corresponding to initial conditions of: y(0)= y(0) = 0 and ý(0)-6 Part B (20pts)...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT