Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Chapter 16, Problem 96P
To determine
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For the above RLC circuit, select the state variables such that the stateequations of the system
x = Ax+Bu
y= Cx +Du
can be written in form. Show it.
Select such state variables for the above RLC circuit so that the state equations of the system can be written in the form x = Ax +Bu , y=Cx+Du. Show it.
Select such state variables for the series RLC circuit shown in the picture so that the state equations of the system can be written in the form x=Ax+Bu and y=Cx+Du. Show it
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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- Find the solution of the following Differential Equations .by exact xdy – 4 ydx = 0arrow_forwardFind the state variables of the above given RLC circuit such that the state equations of the system x= Ax+Bu Y= Cx + Duarrow_forwardA second order series RLC circuit is given with R=18 ohm,L=2H and C=4F.The transfer function of the circuit if the output is across capacitor is O None of the choices 1 8s2+9s+ 1 8 s+s+ 1 8. s² +9s+arrow_forward
- Classwork Find the response i(t) of the RLC series circuit for t>0 R 1=0 V, C: Case 1 Case 2 Case 3 L=0.1H L=0.1H L=0.1H R=52 R=342 R=162 C=1/640F C=1/640F C=1/640F V=30V V=30V V=30Varrow_forward16.49 Find io(t) for t> 0 in the circuit in Fig. 16.72. + Vo 12 1F 7.5e-2t u(t) V 4.5[1 – u(t)] V 0.5v. 1H llarrow_forwardR For the RL circuit, find the mathematical model (input-output relationship) if the output is the inductor voltage, VL(t)=y(t) and R=13 0, L=5 H. O a. x'(t) = y'(t)+2,60y'(t) O b. x'(t) = y'(t)+ 2,60y(t) O c x(t) = y(t)'+ 0,38y(t) O d. x(t) = y(t)+ 2,60y'(t) O e. x'(t) = y'(t)+ 0,38y(t) O f. x(t) = y(t)+ 0,38y'(t) O g. x(t) = y(t)+ 0,38y(t) O h. x'(t) = y(t)+ 2,60y(t)arrow_forward
- 16.46 Develop the state equations for the circuit shown in Fig. 16.71. 2,0)( Figure 16.71 For Prob. 16.46. ΤΗ m 2F 0 (1) www 492 140)arrow_forwardWhich of the following is an ordinary differential equation? A X Z +yz = 0 xy yx d²u d²u (B) + dx² dy ² OV 1 C + 5²5². ²8² 2²V dt 2 d5² d²0 D + dt 2 g =0 C ᎧᏙ +rS. --rV=0 as -sin = 0arrow_forwardA series RLC circuit has the following component values: R = variable, L= 100 mH, and C= 0.1 uF. If R is adjusted such that the circuit becomes critically damped, the value of R will be: O A. 200 ohms O B. 20 K ohms OC.2K ohms O D. None of the other choices are correct O E. 400 ohmsarrow_forward
- 3 Consider the parallel RLC circuit of Fig. 16.57. Find v(t) and i(t) given that v(0) = 5 and i(0) = -2 A. using mesh 4u(1) A 1092 www 4 H -19 Farrow_forwardFigure 16.47 For Prob. 16.13. Chapter 16, Solution 13. Consider the following circuit. Applying KCL at node o 1 V S+2 V. I = Io A = 1, = 2s +1 2s+1 V 2s+1 + (s + 1)(s + 2) 1 S+1 2 V 2+1/s (s + 1)(s+2) B = -1 1 S+2 i, (t) = (e¹ - e-²¹)u(t) A 1/s не s+1 2s +1 -V₂ Vo 2s -oooo 1/(s + 2) A B + s+1 s+2 Ioarrow_forwardFor the given RLC circuit obtain a valid state-space model. i(t) iR R iL relee ic C + v(t) Iarrow_forward
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