I want the solution very quickly within 15 minutes Note: Atempt Four Questions Only.Q1: For the following circuit diagram, let x, = e, X2 = x1 = è0, u = ej,y = e, = X1.a Derive the sate space representation of the circuit:= A+ Bu:图y = C+ Dua Find the state transition matrix ø(t).Find the solution of x, (t) and x,(t) to the initial conditions x10and X20-

ei=Ldidt+Ri+1C ∫ i dt .....(1)i=C deodt⇒didt=C d2eodt2 .....(2)Substitute (2) in (1)ei=LC d2eodt2+RC…

Answered: Q1: For the following circuit diagram,…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Consider 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 confirmed
identify the following 1. If the pole’s real value is positive and is located on the right side of the S-plane. The system exponentially ____________.2. Is a continuous connection of branches from one node to another with all arrowheads in the same direction.3. Knowing the location of the pole in the S-plane determines the ______________ of the system.
For the circuit shown below, the initial conditions are zero, Idc is a current source continuous and switch S is open at t = 0.a)Determine the equivalent impedance to the right of points a and b of the circuit, Z(s).b)Obtain the voltage between points a and b of the circuit in the frequency domain, V(s). Employ the initial and final value properties and calculate the values of v(0) and v(∞).c)Find the expression for v(t). Check that the values of v(0) and v(∞) agree with those calculated in the previous item.d)Obtain currents i1(t) and i2(t).
3. (a) Find the characteristic polynomial, characteristic equation, characteristic roots, and characteristic modes of this system. (b) Find y(t) the zero-input component of the response for t >= 0, if the initial conditions are y(0) = 1 and y'(0)= -2 for [(D^2)+4D+8]y(t) = Dx(t)
Using the diagram capacitor circuit and values provided, find ZC1, Z T, i, VR1, and Vc1
For the circuit shown below, the initial conditions are zero, Vdc is a voltage source continuous and switch S is closed at t = 0.a)Determine the equivalent impedance to the right of points a and b of the circuit, Z(s).b)Obtain the input current of the circuit in the frequency domain, I(s). employ the properties of the initial and final value and calculate the values of i(0) and i(∞).c)Find the expression for i(t). Check if the values of i(0) and i(∞) agree with those calculated in the previous item.d)Obtain voltages v1(t) and v2(t).
As displayed in attachment figure and LC circuit can be modeled by the following system of differential equations as attachment. Where L = inductance (H), t = time (s), i = current (A), and C = capacitance (F). Assuming that a solution is of the form = Ij sin (wt), determine the eigenvalues and eigenvectors for this system using Faddeev-Leverrier Method and Power Method with L = 1 H and C = 0.25 C. Draw the network, illustrating how the currents oscillate in their primary nodes. Assume initial value for power method.
consider the following difference equation y(k+2)-1.5y(k+1)+0.5y(k)=u(k+1) with initial conditions y(0)=0.5,y(-1)=1. the input u(k) is given by a) Find the FT-z of the system b) Find the solution y(k)
A homogeneous state-space model is given below: A) Compute the state transition matrix , defined as the matrix exponential e^At B) The system state at time t = 2 is given by x(2) = [0 1]^T . Use your answer to part (a) to computethe initial state, x(0).
G(s)=((s+1)*(s+15))/((s+0.1)*(s+2.5)*(s+120)*(s+240)) 1-draw nyquist 2- Nyquist criterion, compute the number of unstable poles of the closed loop system as a function of K 3-determine for which values of K the closed system is stable.
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.
3. Consider the following second-order differential causal system: y ̈(t)+6y ̇(t)+8y(t) = 2x(t), x(t) = e−3t u(t), y(0) = 2, y ̇(0) = −6, (here, u(t) = step function) where x(t) and y(t) are the input and output of the system, respectively. Find the natural response yn(t), forced response yf (t), and total solution y(t) of the system.

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Q1: For the following circuit diagram, let x, e,, X2 = = èo, u = e %3D y = e, = X1, %3D ww aDerive the sate space representation of the circuit: + Bu y = C + Du A Find the state transition matrix o(t). A Find the solution of x, (t) and x,(t) to the initial conditions x10 and x20-