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 104CP
a.
To determine
Find the function of
b.
To determine
Find the expression of the current
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(7) Using the method that applies the Laplace Transform to the circuit below. The
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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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- 4. In the circuit below, i(t) is given by the following waveform. Solve for the voltage across the capacitor in the s-Domain. Your answer should be reduced and simplified; there is no need to calculate the inverse transform. i(A) 1kQ ↑)i(t) 3μH + V I 2μF 10+ 5 10°t (sec)arrow_forwardGiven the voltage function in the figure, a) write the expression for v(t) using step functions.b) find the Laplace transform of v(t).arrow_forwardIn the circuit, the switch has been open for a long time. Calculate the time-dependent equation of the currentof the switch (I ), if it is closed at t = 0. Voltage is 5 V Do not use laplace transformarrow_forward
- Sketch the following functions. i(1) = r(t) - r(t– 1) – u(t - 2) – r(t - 2) + r(t - 3) + u(t – 4)arrow_forwardCan you write the operations with explanations? The signal shown in Figure 3(b) is the input voltage vi(t) as shown in Figure 3(a).is applied to the circuit. Laplace transform of the output voltage value v0(t) in the circuit in Figure 3(a)find using?arrow_forward7:25 PM 71% Group Study Find the Inverse Laplace Transform of the following. Answers must be in a simplified form and solutions must be shown completely. 16 1. s2 + 4s + 13 •.. More Editarrow_forward
- In the circuit, the switch has been open for a long time. Calculate the time-dependent equation of the currentof the switch (I ), if it is closed at t = 0. Source is 5V Do not use laplace transformarrow_forwardi. Determine from first principles the Laplace Transform of t+2e-t ii. -68+83-56 Show that f (t) = {4sin (2t) – 6e“} = +4)(s-4)arrow_forwardProblem2. Find i (t) for t > 0 in the following circuit. Use differential equation approach this problem. Don't use Laplace transform theory. 402 Ri(t) +12 V 1H 2₂ 202 # 0.5 F Uc (t) t = 0arrow_forward
- use the leplace transform to determine i(t) if E(t) = E0, a constant. There is no current flowing initiallyarrow_forwardExpress the function below using window and step functions and compute its Laplace transform. 2190 Q 0- 5x 16 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Express g(t) using window and step functions. Choose the correct answer below. A. g(t)= (sin 8t)u t-- (sin 8t)u (1-56) OB. 9(t)=11 sin (81) OC, 9(t) = (sin 8t)II 5x (t) + (sin 8t)u t- 0.7 16 salt) 0.16 I OD. g(t)=(cos 8t)u t-- : 8tu (1-556) 16 Compute the Laplace transform of g(t). L(g) = (Type an expression using s as the variable.)arrow_forwardIn the circuit in Figure 1, when the switch is closed for a long time, it is opened at t=0. I0(t) for t> 0, Find it with the help of the Laplace transform.arrow_forward
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