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 92P
To determine
Develop the state equation for the given differential equation.
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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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Write an expression for x 2(t+1) in terms of unit step function X2 3 1 3 4 Select one: O a. u(t+1)+u(t)+u(t-1)+u(t- 2)-4u(t-3) O b. u(t-1)+u(t-2)+u(t-3)+u(t-4)-4u(t-5) c. u(t+2)+u(t+1)+u(t)+u(t- 1)-4u(t-2) O d. u(t-2)+u(t-3)+u(t-4)+u(t-5)-4u(t-6) 2. 2. 1.arrow_forwardDetermine which differential equation best represents the system described by the block diagram below. x(t) O a. O b. O C. O d. + y(t) - 3. y(t) + 3 dy(t) dt y(t) - 3 3 dy(t) dt d dt = d dt dy(t) -4x(t) + 2- dt y(t) + 3 dy(t) — 4x(t) + 2 d²x(t) dt² -4 2 d²x(t) dt² = -4x(t) + 2- 4x(t) + 2- d²r(t) dt² d²r(t) dt² = 0 = 0 ) y(t), +arrow_forwardObtain the Differential Equation of the given system R(s) 54 +35³ +25² + s +1 55+454 +35³ +2s² + 3s + 2 C(s)arrow_forward
- Find the output of the system described by the following differential equation when the input to the system is x(t) = u(t) the unit step function. d’y(t) 7(t) dt dy (t) dx(t) +12 y(t) = - dt – 2x(t) dt?arrow_forward8. Given below is the signal m(t). Decompose this signal in terms of the unit step function u(t). -6 -5 -4 -2 -1 m(t) 2 1 0 -1 0 1 2 3 4 t Homework 2 5arrow_forward3. Classify the following linear differential equations according to whether they are time-variable or time-invariant. Indicate the time-variable term/s if it is time-variable. A. d²y d₁²+2y=0 d (1²y)=0 dt d²y (₁) + (+₁) = 0 t + 1 dt² d²y dt2 + (cost) y = 0 B. C. D.arrow_forward
- Set up the differential equations with f(t) as input and y1(t) and y2(t) as outputs in the circuit below. (given trignometric formulas given below)arrow_forwardThe behavior of a second order system is defined by the ordinary differential equation shown. The input to the system is the variable y and the output of the variable x, obtain the representation in state variables dx1 dt y(1) = b, dx1 +bị + box1arrow_forwardConvolve the following continuous-time signals, assuming that Th=1 sec, and T₁ =1.5 sec Plot the result 2T, ht -1 x(1) T h(t) Tarrow_forward
- Solve for the output y(t) at time t = 1 if a system is represented by the differential equation below. Given a step input of u(t) = 1, where the initial conditions are y(0) = 0, dy(0)/dt = 0 and u(0) = 0. d²y dt? dy du + 6 + 8y = + 3u dt dtarrow_forward» Find the convolution of the two signals x1 (t) = u(t + 1)- u(t- 1) x2(t) = x(t) %3Darrow_forward6) Find the autocorrelation and the crosscorrelation function for the following functions. X1(t) X2(t) 1 23 1 .... -1 1 -1arrow_forward
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