Use the differential equation approach to find i(t) for t>0 3 kn 2 kn 6 mH 6V 12 V
Q: Q2: Find the Root Mean Square Value of the plot in the figure below f(t) (4, 9), (0, 1) t
A: Root mean square of the given graph. Root mean square formula
Q: 2: For r(t) shown below, sketch the signal y(t) = r(1– t)[u(t + 1) – u(2 – 31)](note that u(t) is…
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Q: The current I(t) in an LC series circuit is governed by the initial value problem below. Determine…
A: The differential equation of the current is expressed as: I''(t)+25I(t)=g(t)I'(0)=20I(0)=3 On…
Q: Use the step-by-step technique to find v,(t) for t>0 in the circuit in Fig. 50µF 6kQ 6kN V. (t) 6kΩ…
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Q: Find the continuous-time convolution y(t) = x(t)*x(t) where x(t) is shown in the figure below. x(t)…
A: convolution of x(t) and x(t) is y(t) Y(t)=∫-∞∞X(z)X(t-Z) dz we will find y(t) by solving above…
Q: Consider the following continuous-time signal: 1 -t, 0, 0<t<1 otherwise Carefully plot x(t), and…
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Q: Graphically determine the continuous-time convolution of x(t) and h(t) for the case shown in figure…
A: We will find out convolution by graphical method , we use impulse integration property
Q: 5) Using the final value theorem, the final value of given function is 5s + 5 X(s): s(5s + 2) 1 2…
A: Laplace transform is used to convert time domain function in to frequency domain. Some Laplace…
Q: Find the continuous-time convolution y(f) = x(t)*x(t) where x(t) is shown in the figure below. x(t)…
A: This is step rectangular waveform given Find the y(t) =x(t) *x(t) * convolution. This problem is…
Q: The current I(t) in an LC series circuit is governed by the initial value problem below. Determine…
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Q: Evaluate the following continuous-time convolution integrals: (a) y(t) = (u(t) – u(t – 2)) * u(t)…
A: As per bartleby expert policy, only one individual question is to be answered. Kindly repost the…
Q: Given the physical system below; (Gravity will be ignored). a. Write the differential equations? b.…
A: We know that the transfer function is the ratio of output to input in s-domain with all initial…
Q: 1) The step response of an continuous-time LTI system is given by (1 – e-t)u(t). For a certain…
A: Explanation: a)
Q: (2) Find the final value of the function f(t), where: 2(s+1) F(s) = - s(s+3)(s+5)²
A: Given: Transfer function, Fs=2s+1ss+3s+52.
Q: (B) Solve the differential equation:- y""-3y' +2=0, y(0) = 1,y'(0) = 1, y" (0) = 0
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Q: The solution of the differential equation dy + 2y= z (x 0)with y (1) = 1, is : dz
A: Given:- xdydx+2y=x2y(1)=1
Q: Question 1 Find the capacitor voltage vc(t) by Laplace Transform. (2 – 2t 0<t<1 i(t) = {0 R = 1N , C…
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Q: State the time-domain voltage v(t) which corresponds to the voltage V = 19/84° V if s is equal to…
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Q: Given C(s)/R(s) = 2/ (s+1)(s+6). The system is excited with step input. Obtain the time response,…
A: Here c(t) is the output response of the system since the system is excited by the unit step response…
Q: A series RLC circuit Resistance R Voltage Inductance L source Capacitance C Is described by the…
A: Given ditdt =-4it-0.2vct+0.2Etdvctdx =200itvc0 =1i0 =1
Q: A series RLC circuit has the following parameters: R = 10 2, L = 5 H, C = 40 mF and V(t) = 40e V.…
A: Given, A series RLC circuit has the following parameters, R=10 ohm L= 5 H C= 40 mF V(t)= 40e-t V…
Q: Q9 Use initial value theorem and final value theorem to find f(0) andf(), if 6 + 7s2 + 5s s(s2 + 4s…
A: Given function, Fs=6+7s2+5sss2+4s+2
Q: 1 G(s) (s + 10)(s + 1) = Plot the step response of the continuous and discrete-time systems
A: Step response
Q: Question * Given the differential equation: (x? – 16)y" + y' +2y = 0 x-4 The singular points are:…
A: The given equation is,
Q: Transform the circuit in s-domain and then find the voltage across the capacitor, given that the…
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Q: Differentiating 1/s gives, a. s^-1 b. 1/s^2 c. 1/s^3 d. 1
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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: Laplace: the unit step function f(t) = [1 t<1
A: In this question we will find Laplace of given function...
Q: The step response of a system is shown below whose input was 5u(t), find the steady state error…
A: Given the step response of a system, Input, rt=5ut Steady-state error, ess=0.12
Q: The current I(t) in an LC series circuit is governed by the initial value problem below. Determine…
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Q: quiz Solve the following state equation and output equation for y(t), where u(t) is a unit step. -2…
A: X. = -20-1-1 x +11u(t)Taking laplace SX(s)-x(o) =-20-1-1 x(s) +11u(s) s+201s+1X(s)⏟ϕ(s)-1 =…
Q: For the differential equation d y(1)+2y(t) = x(1) dt (a) Determine the homogeneous solution. (b)…
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Q: Impulse response of the system shown below is h(t) = 6(t) – 4e-0,4". Find the system response y(t)…
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Q: (7)Using the method that applies the Laplace Transform to the circuit below. The switches in the…
A: Given the circuit, as shown below: We need to calculate V0(s) , vo(t) and i(t).
Q: Evaluate the following continuous-time convolution integrals: (d) y(t) = (u(t + 3) – u(t – 1)) *…
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Q: Evaluate the following integrals: S cos(TT)8(T – 3)dt L 8(T – 1)8(t –T – – 2)dr J-o N+2°(S2+3)d 00…
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Q: alpha value is 6 3. Compute y(t) = (h * u)(t) where h(t) = u-1(t) and the graph of u(t) is the…
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Q: Now consider the following continuous-time system with input and output specified sepa- rately,…
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Q: Convolve the following continuous-time signals, assuming that Th=1 sec, and T=1.5 sec Plot the…
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Q: 9.11 Use the following transfer functions to find the steady-state response y,„(1) to the given…
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Q: B- Evaluate the following integrals (u(t) is the unit step function defined as u(t)=1 for t>0 and…
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Q: Solve the following differential equation, 1) y?dx ( 3xy + y? - 1 ) dy = 0 ; y(0) = 1 %3D
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Q: 4) Evaluate the following integrals: a) S, f(t)6(t – r)dr b) L 6 (1)f(t – t)dr c) L 6(t)e-jwtdt
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Q: 7. Solve the differential equation (hint: use the separation of variables technique) ydx + dy = 0…
A: Given differential equation, y2dx+dy=0 and the conditions are, y=-0.125 when x=0
Q: (B) Solve the differential equation:- y" - 3y' + 2 = 0, y(0) = 1, y' (0) = 1, y" (0) = 0
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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: Differential equation of a system is represented by d?y dt? dy +10- + 120 y = 0 dt The value of…
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Q: Given the differential equation:
A: Laplace Transform- It is one of the transformation technique in which continuous signal in time…
Q: Solve the root locus G(s)H(s)=K(s+2)/s^2+2s+3
A: Draw the root locus of the given open loop transfer function.
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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.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.Q: In the network of Fig. (1), the switch is closed at t=0 and there is no initial charge on either of the capacitors. Find the resulting current ( i ). (Using Laplace Transform). 100 Fig. 1
- 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.Signal and system The mathematical model of a system is y" (t) + ay'(t) + by(t) = a (t) + ca (t) where a=1, b=2 and c=1. 1) Find zeros and poles of the system. 2) Show them onto the S-Plane (the complex plane) 3) Discuss the BIBO stability of the system.Find and graph the current i(t) in the RLC circuit of the figure, where R=1 Ω, L= 0,25 H, C=0,2 F, v(t)=377sin(20t) V for (10/π) seconds ≤ t ≤ (25/π) seconds, and v(t) = 0 for 0 ≤ t < (10/π) seconds and (25/π) seconds < t < ∞, considering the initial current and load as null. (Note: Use the Laplace method as they are causal systems)
- The characteristic equation of a system is given by S5+2S4+S3+2S2+S+5=0 Determine (i) Stability of the system (ii) Number of roots on the right side of 's' - Plane (iii) Number of roots on the left side of 's' - Plane: If F(s) = s 4+ 5s3+20s 2 + 40s + 50 , Investigate the stability of this systemUsing the DIFFERENTIAL EQUATION METHODS, Solve for the particular solution of the differential equation as follows:y"'+ 33y"+ 30y'− 64y= 0With the initial conditions as follows: y(0) = 0, y’(0) = -1, y’’’(0) = 33.
- Find the root of the equation. S^2+2S+5Consider two systems one is second order and the other is third order. The characteristic equations are: as2+bs+c for the second order and as3+bs2+cs+d for the third order, where a,b,c,d are positive real numbers. Then which of the following is correct with regard to the stability of these two systems? a. stability of either system cannot be confirmed with the given data b. third order is definitely stable but second order cannot be confirmed c. both systems are definitely stable d. second order is definitely stable but third order cannot be confirmedFind f(t) for each of the following functions. 1. F(s)=280s2+14s+245. 2. F(s)=−s2+52s+445s(s2+10s+89). 3. F(s)=14s2+56s+152(s+6)(s2+4s+20). 4. F(s)=8(s+1)2(s2+10s+34)(s2+8s+20).