Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Chapter 16.5, Problem 12PP
To determine
Develop a set of state variable equation for the given differential equation.
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2. Write the mathematical equations for the mechanical system given. Also find the transfer functions X1(s)/F(s) and X2(s)/F(s) of the given system
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Chapter 16 Solutions
Fundamentals of Electric Circuits
Ch. 16.2 - Determine vo(t) in the circuit of Fig. 16.6,...Ch. 16.2 - Prob. 2PPCh. 16.2 - Prob. 3PPCh. 16.3 - For the circuit shown in Fig. 16.12 with the same...Ch. 16.3 - Prob. 5PPCh. 16.3 - The initial energy in the circuit of Fig. 16.17 is...Ch. 16.4 - Prob. 7PPCh. 16.4 - Prob. 8PPCh. 16.4 - Prob. 9PPCh. 16.5 - Obtain the state variable model for the circuit...
Ch. 16.5 - Prob. 11PPCh. 16.5 - Prob. 12PPCh. 16.6 - For what value of is the circuit in Fig. 16.29...Ch. 16.6 - Prob. 14PPCh. 16.6 - Prob. 15PPCh. 16.6 - Synthesize the function Vo(s)Vin=2ss2+6s+10 using...Ch. 16 - Prob. 1RQCh. 16 - The current through an RL series circuit with...Ch. 16 - Prob. 3RQCh. 16 - Prob. 4RQCh. 16 - Prob. 5RQCh. 16 - Prob. 6RQCh. 16 - Prob. 7RQCh. 16 - Prob. 8RQCh. 16 - Prob. 9RQCh. 16 - Prob. 10RQCh. 16 - The current in an RLC circuit is described by...Ch. 16 - The differential equation that describes the...Ch. 16 - Prob. 3PCh. 16 - If R = 20 , L = 0.6 H, what value of C will make...Ch. 16 - The responses of a series RLC circuit are vc(t) =...Ch. 16 - Prob. 6PCh. 16 - Prob. 7PCh. 16 - Prob. 8PCh. 16 - Prob. 9PCh. 16 - The step responses of a series RLC circuit are Vc...Ch. 16 - The step response of a parallel RLC circuit is v =...Ch. 16 - Prob. 12PCh. 16 - Prob. 13PCh. 16 - Prob. 14PCh. 16 - For the circuit in Fig. 16.38. calculate the value...Ch. 16 - The capacitor in the circuit of Fig. 16.39 is...Ch. 16 - If is(t) = 7.5e2t u(t) A in the circuit shown in...Ch. 16 - Find v(t), t 0 in the circuit of Fig. 16.41. Let...Ch. 16 - The switch in Fig. 16.42 moves from position A to...Ch. 16 - Find i(t) for t 0 in the circuit of Fig. 16.43.Ch. 16 - In the circuit of Fig. 16.44, the switch moves...Ch. 16 - Find the voltage across the capacitor as a...Ch. 16 - Obtain v (t) for t 0 in the circuit of Fig....Ch. 16 - The switch in the circuit of Fig. 16.47 has been...Ch. 16 - Calculate v(t) for t 0 in the circuit of Fig....Ch. 16 - Prob. 26PCh. 16 - Find v (t) for t 0 in the circuit in Fig. 16.50.Ch. 16 - For the circuit in Fig. 16.51, find v(t) for t 0.Ch. 16 - Prob. 29PCh. 16 - Find vo(t), for all t 0, in the circuit of Fig....Ch. 16 - Prob. 31PCh. 16 - For the network in Fig. 16.55, solve for i(t) for...Ch. 16 - Using Fig. 16.56, design a problem to help other...Ch. 16 - Prob. 34PCh. 16 - Prob. 35PCh. 16 - Prob. 36PCh. 16 - Prob. 37PCh. 16 - The switch in the circuit of Fig. 16.61 is moved...Ch. 16 - Prob. 39PCh. 16 - Prob. 40PCh. 16 - Prob. 41PCh. 16 - Prob. 42PCh. 16 - Prob. 43PCh. 16 - Prob. 44PCh. 16 - Find v(t) for t 0 in the circuit in Fig. 16.68.Ch. 16 - Prob. 46PCh. 16 - Determine io(t) in the network shown in Fig....Ch. 16 - Prob. 48PCh. 16 - Find i0(t) for t 0 in the circuit in Fig. 16.72....Ch. 16 - Prob. 50PCh. 16 - In the circuit of Fig. 16.74, find i(t) for t 0.Ch. 16 - Prob. 52PCh. 16 - In the circuit of Fig. 16.76, the switch has been...Ch. 16 - Prob. 54PCh. 16 - Prob. 55PCh. 16 - Calculate io(t) for t 0 in the network of Fig....Ch. 16 - Prob. 57PCh. 16 - Prob. 58PCh. 16 - Find vo(t) in the circuit of Fig. 16.82 if vx(0) =...Ch. 16 - Prob. 60PCh. 16 - Prob. 61PCh. 16 - Using Fig. 16.85, design a problem to help other...Ch. 16 - Consider the parallel RLC circuit of Fig. 16.86....Ch. 16 - The switch in Fig. 16.87 moves from position 1 to...Ch. 16 - For the RLC circuit shown in Fig. 16.88, find the...Ch. 16 - For the op amp circuit in Fig. 16.89, find v0(t)...Ch. 16 - Given the op amp circuit in Fig. 16.90, if v1(0+)...Ch. 16 - Prob. 68PCh. 16 - Prob. 69PCh. 16 - Using Fig. 16.93, design a problem to help other...Ch. 16 - Prob. 71PCh. 16 - The transfer function of a system is H(s)=s23s+1...Ch. 16 - Prob. 73PCh. 16 - Design a problem to help other students better...Ch. 16 - Prob. 75PCh. 16 - For the circuit in Fig. 16.95, find H(s) =...Ch. 16 - Obtain the transfer function H(s) = VoVs for the...Ch. 16 - Prob. 78PCh. 16 - For the circuit in Fig. 16.97, find: (a) I1/Vs (b)...Ch. 16 - Refer to the network in Fig. 16.98. Find the...Ch. 16 - Prob. 81PCh. 16 - Prob. 82PCh. 16 - Refer to the RL circuit in Fig. 16.101. Find: (a)...Ch. 16 - A parallel RL circuit has R = 4 and L = 1 H. The...Ch. 16 - Prob. 85PCh. 16 - Prob. 86PCh. 16 - Prob. 87PCh. 16 - Prob. 88PCh. 16 - Develop the state equations for the circuit shown...Ch. 16 - Prob. 90PCh. 16 - Prob. 91PCh. 16 - Prob. 92PCh. 16 - Prob. 93PCh. 16 - Prob. 94PCh. 16 - Prob. 95PCh. 16 - Prob. 96PCh. 16 - A system is formed by cascading two systems as...Ch. 16 - Determine whether the op amp circuit in Fig....Ch. 16 - It is desired realize the transfer function...Ch. 16 - Prob. 100PCh. 16 - Prob. 101PCh. 16 - Synthesize the transfer function...Ch. 16 - Prob. 103CPCh. 16 - Prob. 104CPCh. 16 - Prob. 105CP
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- When the unit step function is applied to the system input whose block diagram is given below, the output response takes the value c (0.2) = 0.11 fort = 0.2 s and c (infinity) = 0.333 for t = infinity. What is the time constant of the system? calculate.arrow_forwardFor a continuous time LTI system, the output is given as Y(s)=10(2s+3)/(s2+4s+5). Find out the final value of y(t) using final value theorem.arrow_forwardIt is expressed as the state equations of a linear time invariant system. dx(t) / d(t) = Ax(t)+Bu(t) Find the state transition matrix Փ(t), the characteristic equation and the eigenvalues of A for the following systemarrow_forward
- A continuous-time LTI system is described by d^2y(t)/dt^2 + 4[dy(t)/dt] + 3y(t) = 2dx(t)/dt + 4x(t). Assuming zero initial condition, find out the response y(t) of the above system for the input x(t) = e^(−2t)u(t).arrow_forwardDifferential equation of a system is represented by s^2+19s+ 100 = 0 The value of damping ratio isarrow_forwardFind the convolution of the two sequences x[n] and h[n] given by,h[n] = (1/2)nu[n], x[n] = (1/4)nu[n].arrow_forward
- An 2 kΩ resistor, a 6.25 H inductor, and a 250 nF capacitor are inparallel. Express the s-domain impedance of this parallel combination asa rational function.arrow_forwardthe input output equation of this system is in the image find the solution of y(t) under the initial conditions y(0-) = -3, ŷ(0-) = 2, and x(t) = u(t)arrow_forwardCalculate y(t)=x(t)*v(t) using the convolution integral for the continuous signals x(t) and v(t) given in the figure below. Write the result of y(t) as a piecewise function. Also, show the result in an approximate way by drawing a graph.arrow_forward
- Obtain the state equationsarrow_forward40 - When the unit step function is applied to the system input given the block diagram below, the output response takes the value c (infinity) = 3 for t = infinity. So which of the following can be the constants K, a?A) K = 0.05, a = 0.25B) K = 3, a = 1C) K = 0.35, a = 0.55D) K = 1, a = 3E) K = 0.45, a = 0.65arrow_forward39 - When the unit step function is applied to the system input given the block diagram below, the output response takes the value c (0.2) = 0.145 for t = 0.2 s and c (infinity) = 0.8 for t = infinity. What is the time constant of the system? calculate.A) 1 sB) 2 sC) 0.5 sD) 0.25 sE) 0.33 sarrow_forward
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