Problem 2 t= 0 120 20 + 60 V 442 Vc 50µF 1) 3 A Assume that the switch has been in its previous position for a very long time, solve for I, for t>0 such that the circuit is critically damped.
Q: 1) Using the Routh-Hurwitz stability criterion to determine if the following systems are stable,…
A: The RH criteria , first column should be positive for system to be stable. The number of roots in…
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A: Here, we have given a circuit, we will first draw the circuit when the switch was closed. So, the…
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Q: Part 1 Consider the system given by the following block diagram where K>0: R(s) C(s) G(s) G(s)…
A: Part c: Write the expression for the open-loop transfer function,
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Q: (c) What's the K1 value for the system to be marginally stable? (d) What's the K1 value for the…
A: There is only one forward path, F1=52s+10K1s+λ1s=10K1ss+10s+λ
Q: Problem 1: For the circuit below, please, find: (a) the initial conditions vo(0), and iz(0) and (b)…
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Q: Switch a in the circuit shown has been open for a long time, and switch b has been closed for a long…
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Q: The switch in the circuit shown has been closed for a long time. At t = 0, the switch is opened.…
A: For t less than zero with switch is closed circuit reached steady state, Capacitor of 2 mF and…
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Q: 7.1 The switch in the circuit shown has been closed for a long time and is opened at t = 0. a)…
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Q: B-Discuss the stability of the system given by the characteristic equation: 255 +s4 + 6s³ + 3s² + s…
A: Given: Characteristic equation: 2s5+s4+6s3+3s2+s=-1
Q: The circuit has reached the DC steady state prior to t=0. Find i, (t) for t>0. 4 k2 1 ΚΩ t= 0 2 ΚΩ…
A: The circuit diagram is: The circuit has reached in steady-state prior to t = 0. Hence, the…
Q: Q: For the circuit shown in Fig(1) the switch has been closed for long time and opend at t=0, Find:…
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Q: B) For the circuit shown below, the switch is opened for a long time, at t=0 it is closed. i) Find…
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Q: 2) Consider the system defined by T.F; 1 G(s) = %3D 2 s-+2s+2 Find the state space representation
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Q: Given the following model of a dynamical system, *() = 6 x(t) + и (1), 1 0 y(t) = [0 1]xr (t), do…
A: Desired poles are at -2 and -3
Q: Q: For the circuit shown in Fig(1) the switch has been closed for long time and opend at t=0, Find :…
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Q: (b) A system is described by the following differential equations: dv(t) + 4v(t) = 3u(t) dt d0(t)…
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Q: (e) Sketch the form of the function v,(t) given by Equation 1.1, where Vo is a constant and uft) is…
A: Note: Since the Question is not specified, Iam solving the First question…
Q: Prob.15. In the network shown in fig. 3.24, the switch K is thrown from position 1 to 2 at time t =…
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Q: 3. Consider the following characteristic equations. Determine the values of K that corresponds to a…
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Q: There is no energy stored in the circuit at the time the current source turns on. Given that…
A: a) We need to find I(o)S: First, convert s-domain circuit is: Inductor impedance in the frequency…
Q: 2. Consider the system: KL(s) = K- (s+1) s² (s+10)(s²+s+1) Draw the complete 180° root locus (K> 0)…
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Q: The circuit has reached the DC steady state prior to t=0. Find v, (t) for t>0. 9 ΚΩ 100 µF 7 kN +…
A: First, analyze the initial condition. It is known that the capacitor behaves as an open-circuit…
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Q: Problem 2: iB! t=0 10 mA 50 kn 5 km 20 nF ΚΩ • In the circuit shown above the dependent current…
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Q: 3. Consider the following second-order differential causal system: ÿ(t)+6ÿ(t)+8y(t) = 2x(t), x(t) =…
A: Natural response:The response of a system without any input is called natural responseForced…
Q: Part 1 Consider the system given by the following block diagram where K>0: R(s) C(s) G(s) G(sE…
A: Part (A):- To sketch the root locus of the given transfer function, First, find the number of…
Q: EXAMPLE 1. Use differential equation approach to find Vo(t) for t > 0. Plot the response. SW1 6 kQ 9…
A: Transient analysis Formulas used:
Q: t= 0 120 20 60 V 4Ω V 50µF 1)3 A Assume that the switch has been in its previous position for a very…
A: We know that when inductors and capacitors are connected in a DC circuit for a long time, they act…
Q: The switch in the circuit below has been closed for several minutes. It is finally thrown open at t…
A: PRESENCE OF SOURCE: In the presence of sources all the passive elements which are R, L and C always…
Q: Consider the circuit seen in fig. 2. If the switch is cose at t=0 , a) write down the differential…
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Q: The switch in the circuit shown has been closed for a long time. At t 0, the switch is opened. Find…
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Q: Nature of the response (Undamped, Underdamped, Overdamped, Critically damped) S+5 G(s) = (s + 10)²
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Q: The switch in the circuit shown has been closed for a long time. At t =0, the switch is opened. Find…
A: At t=0, switch is open circuited. The supply to the circuit is DC current source. When DC supply is…
Q: t = 0. Find a) b) c) d) e) the initial value of v(t), the time constant for t > 0, the numerical…
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Q: The system described by y(t) = Sn x(T – 1) dr + u(t) is A. Linear, Time-Invariant, Non-Causal, and…
A: the system is described by: y(t)=∫-∞t x(x-1)dτ+u(t)
Q: Problem 2: For the given circuit determine: d) Is the circuit Underdamped, Critically Damped or…
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Q: Consider the circuit seen in fig. 3. If the switch is closed at t=0, a) (12) Write down the…
A: Note: As per our policy i am doing the first three questions only From the given circuit, Answer(1)…
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Q: The switch in Figure Q.3(b) has been closed for a long time. At t = 0, the switch is opened. dv (0)…
A: Given the circuit, as shown below: At t=0, the switch is opened. i) We need to find the value of…
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- A)Perform the N=5 point circular convolution of x and h using DFT. B)Perform the N=5 point circular convolution of x and h in time-domain.States Gauess's law and obtain both integral and differential form of 1st Maxwell's equation. You must mathematically prove it.(no chat gpt only handwritten otherwise downvote)The mathematical models of some continuous time systems are given above. x(t) is the input signal of the system, and y(t) is the output signal of the system. Which of the following systems is linear and which is nonlinear? For linear systems, write "linear" in the space next to the option. For non-linear systems, write "non-linear" in the space next to the option.
- For the circuit below with the switch closed and then opening at t=0, and R1= 9Ω, R2= 4Ω, L = 9H, C=3F, vg = 7V, calculate the initial conditions. For t > 0, develop the differential equation for the solution using mesh analysis.Determine whether the system with the characteristic equation S⁵+S⁴+2s³+2s²+S+1 using Routh Hurwitz CriterionDesign and implement the given function using K-Map :-F = ?M (0,1,3,4,5,7,8,10,12,14) + d(11,15)
- 4. Consider the function F (A, B, C, D, E) = ∑m(0,2,3,4,5,7,8,11,15,18,19,20,22,23,24,26,27,29,31) + ∑d(6,10,16,21)(Hint: ”d” - don’t (X) care conditions). [3+2+4]i. Obtain the minimal some product expression (SOP) using the K-map (Show your groupings and notifythe implicant, prime implicant, essential prime implicant, non-essential prime implicant) for the functionF.ii. Implement the minimal SOP expression using basic gates (AND - 2 i/p, OR - 2 i/p, NOT - 1 i/p).iii. Implement the minimal SOP expression using only two input NAND gates.1. Simplify the following function using K-Map. F (A, B, C, D) =∑m (0,2,3,5,6,8,9,10,12,14,15)Find f(t) for each of the following functions. 1. F(s)=320s2(s+8). 2. F(s)=80(s+3)s(s+2)2. 3. F(s)=60(s+5)(s+1)2(s2+6s+25). 4. F(s)=25(s+4)2s2(s+5)2.
- A) Reduce the block diagram. B) G1(s)= 2/s, G2(s)= 1/4s+2, G3(s)=4, H(s)=0.5 According to these; find the time constant, natural frequency, damping rate, and dynamic behavior. C)G1(s)= 2/s, G2(s)= 1/4s+2, G3(s)=4, H(s)=0.5 Find the poles, zeros, and reverse Laplace of the system. Is it stable or not?Answer the following questions: 1. Simplify the function below using a three-variable K-Map. F (A,B,C) = (0,2,3,4,5,6,) 2. Simplify the function below using a four-variable K-Map. F (w,x,y,z) = (0,2,8,9,10,12,13)a) what is the expected order of thedifferential equation for both Vc(t) & Ic(t) b) Use Combined Constraints (element equations, KVL & KCL, solve system of equations) derivesimplified numerical expressions for both Vc(t) & Ic(t) by solving the differential equation for t ≥ 0s