A. Determine the causality of the following linear system y (n) = x(n + 2) – 0.4 y(n – 1)
Q: e) Suppose the two sequences x[n and h[n] are given as below. x[n] = cos n = 0,1,2,3 h[n] = 3",…
A: By substituting the sample number given in the question we get,x[n]={1,0,-1,0}h[n]={0,3,9,27} Both…
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…
Q: A single loop RL.C electrical circuit can be modelled as a second order system in terms of current.…
A:
Q: If tER where R represents the set of real numbers, then x(t) will be a continuous-time signal Select…
A:
Q: 3. Consider the system described by 2 -1 X + |-1 1 A y = [1 1]x Is the system observable? Is it…
A: CONTROLLABILITY: By applying suitable control forces(input), if the present state of the system can…
Q: For the system described by y (t) = #(t) cos(t) + 5 %3D where x(t) is the input and y(t) is the…
A:
Q: The system described by y(t) = fL x(t – 1) dt + u(t) is A. Linear, Time-Invariant, Non-Causal, and…
A: System equation are describe Find the system are linear or non, time variant or non Causal non…
Q: Compute the convolution y(t)=h(t)*x (t) where, -1 for-1<t<0- for 0≤t<1 x(t) = 1 otherwise, and h(t)=…
A:
Q: 2. For the following causal system y(n) = x(n-1) − x(n-2) + 1.6y(n-1) - 0.64y(n-2) Determine the…
A: For the given causal system, the transient and steady state response for the input x(n) = 2u(n) are…
Q: (b) An LTI system is characterized by the following system function, where 'a’ is the last digit of…
A:
Q: A linear time-invariant system is described by the difference equation y[n] = 2r[n] – 3r[n – 1] +…
A: The z transform of the given difference equation is calculated as shown below:
Q: The initial value problem y = 2y – y, tE [0,4], y(0) = 3 has analytic solution y(t) : -e- (a) (1).…
A:
Q: Find the solution to the difference equation given below y[n] – 0.25y[n – 2] = x[n] when the…
A: Taking Z-transform on both sides:
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: Sketch the root-locus plot for the system shown in Figure below K (s+5) GCS) (S+1) ( S+2)
A:
Q: Problem 1: For the circuit below, please, find: (a) the initial conditions vo(0), and iz(0) and (b)…
A:
Q: 3. Consider the plant TF, G(s) = 5(s+4)/ s(s+1)(s+20), H(s) = 1. Input is r(t) = (5+2t+t/2).…
A: In this question we need to find a steady state error for the given system .
Q: (s +3)(s + 4) The response of the system is given by Y(s) S(s + 2)(25 + 1) Find the initial value of…
A: Given, Response of a system Ys=s+3s+4ss+22s+1
Q: 20 N Sin t 0.5 F @ zero initial state; Req'd , i(t), VR(t), VC(t), Plot the response curve
A:
Q: The following differential equation describes an LTIC system: 1, 8y" (t) + 5y (t) +1, 6y(t) = x(t)…
A: Zero input response x(t)=0 1,8y''(t)+5y'(t)+1,6y(t)=0 Put y''(t)=D^2 y(t) y'(t)=D y(t) (1.8…
Q: Question 1 Given the two four-point sequences x[n] = [-2, –1,0, 2] and y[n] = [-1, –2, –1, –3]. find…
A: Solution 1- Given,x[n]=[-2, -1, 0, 2]andy[n]=[-1, -2, -1, -3]
Q: Express V,(s) for t > 0 in normalized rational form if v,(1) = u(-t) (the Heaviside unit step…
A: The circuit diagram is: The value of output voltage at t > 0 is determined as follows: The value…
Q: 3. Consider the system described by 2 -1] X + |-1 1 A y = [1 1]x Is the system observable? Is it…
A:
Q: 3. Find the linear convolution if x(n)= {1,2,-1,3} and h(n)={1,2,1}
A:
Q: Find the solution to the difference equation given below y[n] – 0.25y[n – 2] = x[n] when the…
A:
Q: 2. Express V,(s) for t> 0 in normalized rational form if R= 20 v,(1) = u(t) (the Heaviside unit step…
A: The circuit diagram is:
Q: ! Required information A discrete-time system is described by the difference equation y[n] – 0.85y[n…
A:
Q: 13.6 The initial charge on the capacitor in the circuit (b) Iab = [20(s + 2.4)]/[s(s + 3)(s + 6)].…
A:
Q: x[n] 2 -3 7 -2 -1 0 1 2 3 4 5 6 8 Using the discrete time signal x[n] in the figure above, calculate…
A:
Q: 6. For a LTI system whose impulse response h(t) is plotted as below, h(t) 1/2 cycle of 2 sin mt Find…
A: The system’s response can be calculated by the given expression,
Q: 1.17 Sketch the following discrete-time signals: 1, -3<n<3 (a) x[n] = < 0, otherwise 1, n =-1 2, n =…
A: According to the question, we need to sketch discrete-time signal.
Q: Determine the exact solution of the following differential equation y = 2- y at y(0) =1. So the of…
A:
Q: Sketch the root locus for the system whose characteristic equation is given as: s³ +3s? + (k…
A:
Q: If y(t) is the solution of the differential equation: y"- 3y' + 2y = e-2t where y'(0) = 1, y(0) = 0.…
A: Given: In this question they are interested to know the Laplace transform of the signal y(t).…
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: Determine the exact solution of the following differential equation y = 2 - y at y(0) =1. So the…
A:
Q: A linear time-invariant system is described by the difference equation y[n] = 2r[n] – 3r[n – 1] +…
A: Write the given difference equation.
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: For the differential equation d y(1)+2y(t) = x(1) dt (a) Determine the homogeneous solution. (b)…
A:
Q: 4. Using the DIFFERENTIAL EQUATION METHODS, solve for the particular solution of the differential…
A: The given differential equation is The solution of differential equation is equal to complementary…
Q: 1.55. Evaluate the following integrals: (a) f(cos t)u(t) dt (b) S(cos t)8(t) dt (c) (cos t)u(t –…
A: Solution: (a) ∫-∞t(cosτ)u(τ)dτ ⇒∫0tcos(τ)dτ (Since u(τ) is only…
Q: 7. (a) The input and impulse response of an LTI system are denoted by x(t) and h(t), respectively,…
A: According to the question, we need to calculate the output y(t) by the graphical method of the…
Q: Evaluate the following integrals: (a) S (312 + 1)8(1) dt (b) S (31² + 1)8(t) dt
A: According to the integral property of the delta function ∫abxtδtdt=x0 when a<0<b0 when…
Q: The equation of a damped oscillation of a system is given as: y = -7.4e0.5t sin (3t) Solve for the…
A: The solution is given below
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: 19/ Sketch the root locus for a system has G(s)=K(s+1) / s(s+2)(s+4)^2 b/ Find the location of pole…
A:
Q: b) 1. Sketch in details the root-Loci for the system shown in the figure below if, 1 i) G„(s) = tG+5…
A: To plot root locus. Root locus is symmetrical about x axis. Root locus is the plot of open loop…
Q: 4) For a system, if the input given is x(t) = cos(2t) we observe that the output is y(t) = 5 cos(2t…
A: Given : Input response of the system x(t) =cos(2t) The output response of the system y(t)…
Step by step
Solved in 2 steps with 1 images
- If the roots of the characteristic equation are -3,0 then the system is _________________________. Marginally stable Conditionally stable Stable UnstableFind the convolution of x[n] = {1,2,3,1} and h[n] = {1,2,1,-1} , origin at 2.Differential Equation: y′′+6y′+58y=0 describes a series inductor-capacitor-resistor circuit in electrical engineering.The voltage across the capacitor is y (volts). The independent variable is t(seconds). Boundary conditions at t=0 are: y = 6 volts and y′=8 volts/sec . Determine the capacitor voltage at t=0.40seconds . ans:1
- Determine whether the given system is causal or not? h(n) = (1/2)n u(n-1)Design an electrical circuit consists of the following elements, two resistance, two inductance, and one capacitance, obtain the parameters z12, y22, h21, and A.A system has the following characteristic equation: s + s + 3 + 2s + 2 = 0 Using the Routh-Hurwitz method, check
- given that vc=q/C. derive the expression for q in terms of time t.Set up a system of first-order differential equations for theindicated currents I1 and I2 in the electrical circuit ofFig. 4.1.14, which shows an inductor, two resistors, anda generator which supplies an alternating voltage drop ofE(t) = 100 sin 60t V in the direction of the current I1.A resistor of 100 Ω, a coil of 4.50 μH, and a capacitor of 220 pF are in parallel. What is the admittance vector at 6.50 MHz? Provide illustration of the circuit.
- When the root locus curve of the given system is drawn, which is the K value that provides s = -0.6 + 1.62j pole value?Write an expression for the output voltage for the circuit as shown if υ1 = 0.5 sin 2000πt, and υ2 is generated by the circuit as shown with υ3 = 0.5 sin 10,000πt? Assume VCC = −VEE = 10 V, IEE = 500 μA, R1 = R3 = 2 kΩ, and R = 10 kΩ.The circuit elements in the circuit L=50 mH, and C=0.2 μF. The initial inductor current is−45 mA and the initial capacitor voltage is 15 V.4. The resistance is increased to 312.5 Ω. Find the expression for v(t) for t≥0.