Q.5/ For the system shown in Figure 2, a. Find Kp, K, and K.. b. Find the steady-state error for an input of 50u(t), 50tu(t), and 50f²u(t). c. State the system type. R(s) 5 C(s) s(s + 1)(s + 2) (s + 3) Figure 2

Q: Consider the second-order circuit in Figure Q1(b). (i) The switch was open and remained open for a…

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Q: Obtain the dynamic model (differential equation) of the electrical system below with input vs and…

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Q: Given a first-order RC or RL circuit, (a) describe how you would find the differential equation, (b)…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: For the circuit below with a step input at time t=0 and magnitude 25 V. The initial circuit having…

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Q: 5. The figure below shows a system consisting of a continous-time LTI system followed by a sampler (…

A: (a) Applying the Laplace transform to the given equation:

Q: s+2 For the system with forward path gain G(s) = s and feedback gain H(s) = –n, input r(t) = Fu(t)…

A: The parameters of the given system are as follows:…

Q: a) When the input is sin(500t), the steady state response is 0.707sin(500t – 45'). What must the…

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Q: 4) Consider the circuit shown below. What is the steady-state value of vc after the switch opens?…

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Q: 2) Consider a causal LTI system implemented as the RL circuit shown in Figure-1. A current source…

A: Consider the given circuit,

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Q: The op amp in the circuit seen  isideal. Find the steady-state expression for vo(t) when vg=2 cos…

A: Circuit diagram is given,

Q: For the circuit shown below, let Va- 3.8Vv Vy-0.7V and v - 8sinut (V). Assume the initial voltage…

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Q: The step response of an underdamped mass-spring-damper system is found to have a peak time of 0.1b…

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Q: (3) An impulse voltage E5(t) is applied at time t = 0 to a circuit consisting of a resistor R, a…

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Q: | How | Acontrol system is shown in figure below. Find K₂ and K₂ so that the damping ratio 2 = 0.6…

A: Given: ζ=0.6ωd=10rad/secωd=ωn1-ζ2ωn=ωd1-ζ2=101-(0.6)2=12.5 rad/sec

Q: R(s) C(s) (X) 1/(s+12) 20/s 10 10 O.X s

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Q: Q3) Determine the steady-state error for the system below. If the input 3ult), t ult), 10t ut) And…

A: Given that block diagrams as follows

Q: Q2. The step response at t > 0 of a series RLC circuit is observed to be vc(t) = 15 – 15 e-1000t…

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Q: le M K B. For the system shown in the figure above, differential model equations are given below.…

A: State variables are defined as the type of independent variable which decides the characteristics of…

Q: A closed-loop system is shown below. R(s) C(s) K(s+4) (s+1 Xs+ 4) Find the value of K such that the…

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Q: dy+ay(t) = Skx(t) The steady-state gain of the step response y(t) is 10 and the rise time is 4, what…

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Q: The voltage source in the circuit  is generating the triangular waveform Assume the energy stored in…

A: (a) Write the expression for the source voltage. vg=2t0<t<1 μs-2t+41 μs<t<3 μs2t-83…

Q: Which of the following describes the step response of the closed loop system of figure shown? R(s)…

A: Given,

Q: Problem 5 In the given circuit the switch moves from position A to position B at timet = 0. Assuming…

A: Given :  Note : It is the kind notice that according to the guidelines of the company,  we supposed…

Q: 2. System stability associated with the a. Forced response b. Transient response c. Natural…

A: Although it is known that any system consist two type of responses  (i) natural response  (ii)…

Q: Q5: For the closed loop system shown in figure below, where R(s) is unit step function. (1)…

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Q: 1. What is the closed-loop function? 2. What is type of the system? 3. What is the steady-state…

A: As per Bartleby policy we can solve only first 3 parts.        A closed loop system with negative…

Q: For the circuit below with input voltage V1, a step function of magnitude 25 volts at time t=0, find…

A: For the given series RLC circuit, R1=555 Ω, L1=250 mH, C1=3.3 μF; the input voltage is a step…

Q: Topic: First-Order Transient Response  1. What is the value of the constant of integration after…

A: In this question 1. What is the value of the constant of integration after solving the differential…

Q: Ex. 304. See Figure 280. G(s)=100/( (s+2) (s+12) ), H(s)=1, and R(s)=1/s (unit step input). For the…

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Q: The op amp in the circuit  is ideal.1. Find the steady-state expression for vo(t).2. How large can…

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Q: For the system described in problem 1, what is the steady-state error for the parabolic input r(t) =…

A: In this question,  We need to determine the steady state error for. The given input?  Feedback is…

Q: Question 2 Given the following values R = 5 kN, L1 = L2 = 2 H, C1 = 2 nF and C2 = 8 nF. i,(1) i,(t)…

A: RLC parallel circuit

Q: Find the steady-state current i,(t) in an LRC-series circuit when L = h, R = 20 N, C = 0.001 f, and…

A: Given that circuit is series LRC circuit. Given values are -…

Q: 3. Write the differential equation for the system shown in Figure R(s) 55 +254 +45³ +²+4 C(s) 5+755…

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Q: Q6. For the system shown in Figure(5) R(s) K s(s+ 1) (s + 6) (s+4) K C(s) Figure (5) a) The value of…

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Q: Q2 (A): A system has Kp 4. What steady-state error can be expected for inputs of 70u(t) %3D…

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Q: Q2] For the circuit shown below, when the switch closed at =0 and by assuming zero initial charge on…

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Q: Consider the electric circuit shown below. Q.3 a) Determine the differential equation that relates…

A: According to the question (a) Determine the differential equation that relates the input x(t) to…

Q: Acontrol system is shown in figure belows. Find K and Ke so that the damping ratio 2.0.6 and damped…

A: Given data : Damping ratio ξ=0.6 Damped natural frequency ωd=10rad/s

Q: Q2] For the circuit shown below, when the switch closed at -0 and by assuming zero initial charge on…

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Q: A series RC circuit is driven by a voltage source step function. The voltage values across the…

A: The voltage values across the capacitor of a series RC circuit as function of time is given in the…

Q: Assume that the circuit in the image has been connected for a very long time. (a) As time…

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Q: R L vo 100mF v=u(t) The following transfer function describes the circuit above: 100 Vo V s2 + 100s…

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Q: Provide the nature of the response (undamped, overdamped, undamped, critically damped) of the output…

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Q: For the circuit below with input voltage V1, a step function of magnitude 25 volts at time t=0, find…

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Q: Q3 Derive the time response v.(t) for the circuit given in Figure Q3. Where, v(t) is a step signal.

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Q: Find the steady-state current in the series RLC circuit with R=12 Ω, L=1.2 H, C=20/3 mF, E=12,000…

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Q: For the system with forward path gain s+2 G(s) = and feedback gain H(s) = s2+4s+7 8. will be…

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Q: 5. For the system shown in Figure 3, find the sensitivity of the steady- state error with respect to…

A: Given  A control system,we need to find the sensitivity of the steady state error due to change in…

Sinusoids And Phasors

Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.

Circuit Theory

Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).