A system is represented by the following differential equation: dc(t) +6- dt d'c(t) , d°c(t) di dr(t) +3r(t) dt +ct) +7[ c{r)dr= In this differential equation, r(t) represents the input, and c(t) represents the output. Determine the transfer function C(s) / R(s).

Q: The value of damping ratio (E) for the following transfer function of a * :second order system is…

A: Given transfer function of the second order system, T.F.=100s2+15s+100

Q: 15) Consider a system with transfer function G(s) = (s + 4)/ (ks^2 + s + 4). The value of damping…

A: Given data, Transfer function is given, Gs=s+4ks2+s+4=s+4s2+sk+4k

Q: 4. Write the state space representation for the following transfer function R(s) 100 s4+20s3+ 10s2…

A: Given transfer function is divided into two parts as numerator and denominator.…

Q: 4. Find the unit step response of the system where its transfer function is defined as s+5 G(s) = 10…

A: given transfer function.we have to calculate response.

Q: With the transfer functions given below: (a) Find the functions maximum overshoot, Mp (b) Find the…

A: We are authorized to answer three subparts at a time, since you have not mentioned which one you are…

Q: 8. For each of the following transfer functions, write the corresponding differential equation.…

A: a. The given transfer function is, X(s)F(s)=7s2+5s+10 On rearranging the terms,…

Q: 4. For each of the following transfer functions, write the corresponding differential equations Y(s)…

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Q: The transfer function of a linear system is 2s H(s) s + 6 Find the output y(t) due to the input…

A: Given H(s) = 2s/(s+6) to find y(t)  (I) u(t) = 10e-3tu(t) (ii) impulse response

Q: Q. 1 Find the poles and zeros of the following transfer function and determine if the system is…

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Q: (s + 2)(s + 4) C(s) R(s) (S+3)(6s² + 4s + 5)

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Q: 5. The response x(t) of a system to an input u(t) is described by the differential equation x(lv) –…

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Q: 2. A transfer function has zeros: 1, -1 and poles: -1, -2, 3. Find the differential equation…

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Q: A system whose dynamic equations   dx(t)/dt = Ax(t) + Bu(t)      y(t) = Cx(t)   are given as .…

A: As we have given : dxtdt=Axt+Butyt=CxtA=010001-1-2-3B=001C=100

Q: s+6 Consider a system with transfer function G, its damping ratio will be ks2+s+6 0.4 when the value…

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Q: Q1. Find the step response for a system whose transfer function is G (s) = C(s) 2 R(S) s(s+1) =

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Q: Transfer function of a causal-LTI system has two poles; s = -1 and s = -3 and one zero; s = -2. The…

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Q: The block diagram of a time-invariant, linear, continuous-time system is given below. X 1 (s) and X…

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Q: A CT system given by the following differential equation. (a) Derive the transfer function H(s). (b)…

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Q: 4. Find the unit step response of the system where its transfer function is defined as s+5 G(s) =…

A: The solution is given below

Q: Consider a linear time-invariant system. It is known that when the input is u(t) = tu,(t) and the…

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Q: The transfer function of a system is 15(s + 1) G(s) = s2 + 9s + 14 Determine y(t) when r(t) is a…

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Q: 4. The input to a system with impulse response h(t) is x(t), both functions are given below. Find…

A: In this question we need to find a output of the given system.

Q: K(s+2) Consider the closed loop transfer function is, T (s) = 2 +K |s + 3 s+ + 2K 3 Calculate the…

A: According to question: Characteristic equation of the system is s2+23+Ks+13+2K=0 On comparing with…

Q: i, (t) = 4 cos 5000 mA constant current source %3D V(t) Voltage on constant current source voltage…

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Q: 20.2 What are the time constants of the systems giving the transfer functions (a) G(s)-5/(3s+1), (b)…

A: Given that G(s) = 5/(3s+1) G(s) = 5/(1+3s) The above transfer function is in the form is (1+st) Then…

Q: A system with a transfer function Y(s)\R(s). Determine the steady state error to a unit step input.…

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Q: An industrial plant is governed by the the following differential equation kladu du(t) dt +bu(t) ₁))…

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Q: For each of the following transfer functions, write the corresponding differential equation. X(s) 1.…

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Q: A system has transfer function s²+35+6 (s²+1) (s³+4s²+7s+4) Use the Routh-Hurwitz technique to…

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Q: given the transfer function C(s) 36 T 2 R (s) 5² +4.25 +36 Find the following a damping ratio and…

A: Given closed-loop transfer function is CsRs=36s2+4.2s+36. We need to determine the damping, ratio,…

Q: a- A system is descnbed by the following differential equation Find the expression for the transfer…

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Q: Consider a system with the following transfer function, Its damping ratio will be 0.5 when the value…

A: Given:            To find the value of K, the damping ratio is 0.5.             Transfer function is…

Q: 1. A single-input, single-output system is described by the following state variable model. *(1) =…

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Q: Feedback Control of Dynamic Systems (7th edition) - Problem 7.19

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Q: A CT system given by the following differential equation. (a) Derive the transfer function H(s). (b)…

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Q: Consider a system with the following transfer function, Its damp * will be 0.5 when the valı s+6…

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Q: Example 2:Obtain the poles and zeros of the transfer function given below: s2 + 4s + 3 G(s) %3D s3 +…

A: The given transfer function Gs=s2+4s+3s3+3s2+7s+5

Q: 1-Given a transfer function, G(s) = (s+2)(s-8). Therefore, number of simple poles is a. 2 b. 1 c. 3…

A: In a transfer function there are essentially two difference elements present. The expression present…

Q: The block diagram of a time-invariant, linear, continuous-time system is given below. X 1 (s) and X…

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Q: 000 ос Select one: a. 1.5 b. c. 2 d. 1.0 O O o Give the following transfer function O The final…

A: Given: Transfer function, YsRs=2s+1s+3ss+2s+4+2s+1s+3. Rs is unit step input.

Q: (A): Convert the following transfer function to state space representation. C(s) 70 R(s) 10s3 +40s²…

A: Since you have posted the multiple questions so we are supposed to answer the 1st one.

Q: 30. Represent the following systems in state space in Jordan canonical form. Draw the signal-flow…

A: Given

Q: The system represented by the transfer function s+ 1 H(s) (s + 3)(s² + 2s + 5) a) Find the…

A: Transfer function-The transfer function is the ratio of the Laplace transform of output to Laplace…

Q: Find the unit impulse response of the system with the transfer function 18 G (s) %3D…

A: According to question: The impulse response is calculated as…

Q: A transfer function of a system is given as T(s) = 1/(s+2). Find the step response, setting x(t) as…

A: Brief description:  For the given transfer function T(s) we need to write it's unit step response…

Q: A closed-loop transfer function is given as Y(s) 3(s+10) R(s) s+35s +300 Calculate the response in…

A: We will find out output for given system and given input

Q: State equation: My+By+ky CH: D 1 [X1] F k B X2] M F Output equation: y = [1 0 0] x2 X3. Take M = 2,…

A: State space model: as per our company guidelines we are supposed to answer ?️only first 3️⃣…

Q: 9.11 Use the following transfer functions to find the steady-state response y,„(1) to the given…

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Q: The block diagram of a time-invariant, linear, continuous-time system is given below. X 1 (s) and X…

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Q: Given the following open-loop transfer function: K(s + 0.2) G(s): s² (s +3.6) Find the number of…

A: Given data, Open loop transfer function, Gs=Ks+0.2s2s+3.6

Latches and Flip Flop

Just like logic gates, the latches and flip-flops are the important elements of an electronic circuit. The logic gates form the important part of combinatorial circuits, while the latches and flip-flops form the essential part of a sequential circuit. Sequential circuits form the important concept of automata theory in electronics and electrical engineering, these circuits are a kind of logic circuit whose output depends on both present input and past inputs, that is, the input history.