For the circuit shown in figure 2 the inductor is initially uncharged. Now, answer the following: P1. Determine the transfer function, H(s) = V,ut(s) P2. What is the condition of 'A' for the circuit to be stable? P3. Consider that A = 1. If Vin(t) = u(t), calculate the output Vout(t)

For the circuit shown in figure 2 the inductor is initially uncharged. Now, answer the following: P1. Determine the transfer function, H(s) = V,ut(s) P2. What is the condition of 'A' for the circuit to be stable? P3. Consider that A = 1. If Vin(t) = u(t), calculate the output Vout(t)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Related questions

Q: Consider the following circuit. In the circuit R1=20,L%31H, C=D0.25F, and R=2 R1 L. R V. Vo R K V.…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub- parts…

Q: 5. (a) A system can be represented by the block diagram shown in Figure Q.5(a). Given that the…

A: As per bartleby honour code , for multiple questions , experts are advised to solve only first…

Q: Problem 1. Draw the root locus for the following open-loop transfer function G(s), for K > 0. In…

A: The given open-loop transfer function is,

Q: Vout (s) Q4: Derive the transfer function of the circuit shown in figure Q4 Vin (s) RS R4 C2 Vin(t)…

A: Redrawing the given circuit under s-domain and node voltages are labeled as shown below (with zero…

Q: R m Vg R Rz you are given: R2 = 19; L = 1H; L2 = 4H, and the source is assumed to have the form v,…

A: Assume, reference phasor, Vg→=1∠0°

Q: (NEW) Some linear system has a transfer function 9(s+8)/(s+5). If the input is 7sin(4t) volts, the…

Q: 40 Ω 30 Ω ww ww Vin 3F 0.5i 50 Ω +1

A: The solution is given below

Q: Determine the state space model parameters(A,B,C,D) of the given transfer function. H =…

A: According to the given question, it is required to find the state space model parameters (A,B,C,D)…

Q: Ic し k lc lM,

A: TRANSFER FUNCTION: Transfer function is the ratio of laplace transform of output to laplace…

Q: Vo(s) A(s+B) V;(s) (s+C) The circuit shown in figure below. The transfer function Then, A =,B =,C =.…

A: The circuit consists of two inverting operational amplifiers in series. The output of op-amp-1(V0')…

Q: 5. Write the state space representation of the following transfer function R(s) 8s + 10 Cs) A + 5s°…

A: There are different ways of representing a system. Transfer function and state space representation…

Q: Figure Q1(c) shows the electrical network with a capacitor, C, as an output component. V(s) V,(s) s…

A: We need to calculate resistance and inductor value for given circuit , we will also calculate…

Q: Consider the following circuit. In the circuit R1=12N, R2=8N, L=0.25H. R1 + + | Vin(t) vo(t) R2…

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: R(s) C(s) K B+1 K

Q: Vo(s) A(s+B) V(s) (s+C) The circuit shown in figure below. The transfer function Then, A ,B ,C=.…

A: In the given op amplifier circuit, Find the transfer function . Find the value of A, B, C as per…

Q: Find the closed loop transfer function of R(s) + 25 Y (s) s(s + 5) 25 s2+5s+25 25 s2+5s 15 s2+5s+15…

Q: Find the transfer function T(s) for the circuit shown in figure below. CAL RAI RB1 Vin CB1 o Vo R1…

Q: 2. It is very convenient when analyzing circuits with non-ideal components to transform between a…

A: Q=ωCpRp

Q: For the following transfer function: Y(s) R(s) s+8.5 s? +20.5 s +15 10 %3D Draw the state diagram…

A: "According to our company's policy we will provide solution for the first three sub-parts of the…

Q: 13) The transfer function of a system is given as 81/ (s^2 + 16s +81). Find the undamped natural…

Q: Suppose an LTI system has impulse response hin] = u[n] – uļn – 3). Find the output for each of the…

Q: Experiment: We apply a step voltage u(t) = 5u,(t) and we observe the output voltage y(t) on an…

A: The given circuit is shown below: Ctp=8.65 VC∞=5 Vut=5ustts=5 s

Q: Discuss the stability of the system modeled by the following transfer function $+8 H(s) S³+58² +68…

A: Given data, Transfer function, Hs=s+8s3+5s2+6s.

Q: Consider the following circuit diagram: 10 N 110 H + + v (1) 0.01 F= .(1) Find DC gain, poles and…

A: Given a electrical circuit in time domain Convert the given time domain circuit in to S domain…

Q: Figure 5 i) Proof the general transfer function H(w) = Vo / Vin as equation below: -Rw?LC H(@) : %3D…

Q: 14, The system, having its transfer function H(s)=- 2s-0.45 is considered as: A. Marginally Stable…

A: When a system is disturbed from its original state and comes back to its original state, then it is…

Q: Tutorial 2 Based on the circuit below, determine the following in S domain current gain at 1 O…

A: Given circuit shown

Q: 10. Determine the Miller output capacitance from the circuit

A: First we will find out the Gain then we will find out output Miller capacitance .

Q: 1.a) Compute the expressions: 5 10 A = | [48(7 – 4)+38(7 – 10)+2]cos(77 / 20)dr, B= [ 4[u(7+6) –…

Q: The circuit shown in figure below. The transfer function Vo(s)_ A(s+B) (s+C) %3D V;(s) Then, 4 =,B…

Q: Scale the inductor and capacitor so that themagnitude and the phase angle of the output current do…

A: (1) Determine the frequency scaled factor. kf=ω'ω=500 rad/s20000 rad/s=0.025

Q: ww 12Ω ww ww 25 2 3 H 60 Ω in ll ww

Q: R(s) C(s) s2 (s+ 1) s² (s + 3) 1.) Find the closed loop transfer function and identify what is the…

A: (1) The block diagram of the system is, Considering the formulae, YsXs=Gs1+GsHs Solving loop 1.…

Q: Given a system represented by the following differential equation : * + 7*+20x + 50x = 5t a. Derive…

Q: (b) A system has the closed-loop transfer function s(s + 1) (s+3)(s2 - 4s + 13) G(s) = - Sketch the…

A: Control systems are represented by transfer function. This can be written in both time domain and…

Q: 10Ω 0.2H m + Vr- + vį- Vs a. Solve for the transfer function; I(s) VR(S) VLs) Vs(s)' V,(s) ' Vs(s)…

Q: 2. I Sketch the output response to a unit step input for the following transfer functions. Clearly…

Q: Q2) 1) The transfer function of a system is given as 81/ (s? + 16s + 81). Find the undamped natural…

A: Transfer function is given as, Ts=81s2+16s+81 Second order standard transfer function is given by,…

Q: ch the output response to a unit step input for the following transfer functions. Clearly label al…

Q: Q4) obtain the transfer function E,(s)/E,(s) of the electric system shown in the figure below RI R2…

A: Given is a negative feedback op-amp based circuit and hence the transfer function of the given…

Q: Vols) V;( s) A The circuit shown in figure below. The transfer function %3D A + Bs + 0.5k 8H 50 µF…

Q: 5. Model the following and find the transfer function G(S)=H:/Q Iaet vae Materal Process 1 Tank…

A: The model for the above arrangement is For process Tank 1 C1dh1dt=q-q1 .......1 we are assuming…

Q: input voltage is applied to a series combination of a 2-ohm resistor and 3-henry inductor. Compute…

A: We need to find out the transfer function for given circuit

Q: The block diagram shown in Figure 1 represents an unmanned car's speed function. Accelerator/Braker…

Q: 6. Known system's open-loop transfer function: GH(5) = s(s+1)(5+ 2) Please plot its root-loci.

Q: If natural frequency of a second order system is 12 ,damping ratio is 0.5 and DC gain is 3,then…

Q: 2. Obtain Transfer function of the systems . Also verify your result theoretically B. Poles = -1+4i,…

A: Transfer function of the system Poles P1 = -1+4i P2 = -1-4i P3= -5 Zeros Z1= -8 Z2 = -5 Gain K =…

Q: O A) 0.54 O B) 0.60

A: Given question is related to control system..This is second order system..In this question peak time…

Question

For the circuit shown in figure 2 the inductor is initially uncharged. Now, answer the
following:
P1. Determine the transfer function, H(s) = ut)
Vin (s)
P2. What is the condition of 'A' for the circuit to be stable?
P3. Consider that A = 1. If Vin(t) = u(t), calculate the output Vout(t)
P4. Consider that A = 1. If Vin(t) is as shown in figure 3, calculate the output Vout(t)
0.5 Q
A ix
ix
+
Vin+
2H
UI<
Vout
ell

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1 Transfer function

VIEW

Step 2 Stability condition

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

An input, r(t), defined asr(t) = 0, t < 0r(t) 3.0 t >0is applied to a system that can be described by a transfer function, T(p), whereT(p) = (24p + 208)/(p2+12p+52)Determine the system response, y(t), and sketch the output waveform.
Measurements conducted on a servomechanism show the system response to be: C (t) = 0.3 e 60t + 1.5 e 10t, when subjected to a unit step input. [1].Obtain the expression for the closed-loop transfer function. [2].Determine the undamped natural frequency and damping ratio of the system.
1. find the transfer function (H(p)= S(p)/E(p)) of the circuit 2. what happens to H(p) if we consider R1=0. What system is it? 3. what happens to H(p) if we consider R2=0. What system is it?
consider the electrical circuit shown in the diagram below where R1=R2=0.5 ohms L=1 Henry C=1 farad. (These values are UNREALISTIC , but they are here for ease of calculation) For this problem assume that implies NULL initial conditions (all the initial conditions are 0) a) what is the transfer function H(s) =Vo(s)/Vi(s) for the system ? b) what is the impulse response function h(t), for this circuit?
The question, for which the book offers no answer, is: Calculate the transfer function of the circuit shown. Assume R1 = 1K Ohm, R2 = 4K Ohm, and L = 1 H.
loop transfer function of the system given in the photo below;( K(s+A)/s(s2+s+B) Find the asymptotes and plot them in the s-plane. Calculate the gain when the two roots are on the imaginary axis. Calculate the angle of separation from the complex poles. draw root locus. A=5 B=4
The transfer function is H(s) = (1.2s+0.18)/(s3 + 0.74s2 + 0.92s) and C(s) = (K(s+1))/ s A) A disturbance input W(s) =W/sk , where W is a constant, into the feedbackcontroller as shown below. We set R(s) = 0. What type of disturbance input W(s)(step, ramp, or parabola) can thesystem reject (i.e., the steady-state error ess is a nonzero constant)? (B) Suppose you want to design the controller C(s) to produce a closed-loop response to areference step input that has no more than 30% maximum overshoot (Mp ≤ 0.30) and a peak timeof no more than 8 sec (tp ≤ 8). Given the specifications on Mp and tp , compute the constraintson the damping ratio ζ and the damped natural frequency ω, assuming that the closed-loop systemis approximated as a 2nd-order underdamped system. Sketch the allowable regions in thecomplex plane (the s-plane) that these constraints define, and shade in the regions where the polesshould not be placed.
Explain, with the use of appropriate diagrams, what is meant by the term “transfer function”. What is meant by the terms “dynamic and steady-state response” and “time constant” (again, use appropriate diagrams as necessary) Calculate the transfer function of the system shown in an image:
Scale the inductor and capacitor so that themagnitude and the phase angle of the output current do not change whenthe input frequency is changed from 20 krad/s to 500 rad/sec.1. What are the scaled values of the inductor and capacitor?2. What is the steady-state value of the output current, io, when theinput current is 400 cos 500t mA?
For the following system / transfer function, find State-Space-Model in Observer-Canonical-Form T(s) = 0.19 / [ S2 +75.9S + 1314.9]
The CT signal x(t)=3cos (600πt) + 6cos2(mπt) is critically sampled (Nyquist rate)by fs=4000 Hz. Find:i. The value of m.ii. The frequency components of the signal.iii. The frequency resolution (∆f) of the output spectrum if the sampled signal isprocessed by 64 point-DFT.iv. Define frequency resolution.
Consider the system represented by the block diagram of the following Figure. The closed-loop transfer function T(s) = Y(s)/R(s) is: Select one: a. T(s) = 1 / [(s+5) (s+11) + s+10] b. T(s) = 1 / [(s+50)s) + s+10] c. T(s) = 1 / [(s+5) (s+10) + s+11] d. T(s) = 1 / [(s+10) (s+11) +10] e. None of the above