Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
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Chapter 8, Problem 7E
(a)
To determine
Find the circuit time constant.
(b)
To determine
Find the expression for
(c)
To determine
Find the power dissipated by the
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The switch in the circuit in Figure 8 changes position from position b to position a at t=0a) Find and plot vc(t)fort≥0.b) Find i1(t)for t>0c) Find i(t)for t>0d) Find v(t)for t>0.
8.5 From the circuit in the figure, if the switch was initially connected with a resistance of 2Ω for a long time and opened as shown at time t = 0, find i0(t) and v0(t) when t > 0
8.3.1 For the RLC circuit shown in the image below, if R1 = 3 2 and R2 = 7 2, C =
0.44 F, and the power source Vs = 7 V, determine the initial value iL (0* ). Please
pay attention: the numbers may change since they are randomized. Your answer
must include 2 places after the decimal point, and proper SI unit.
R2
+
2u(t) A
R
Vs
Your Answer:
Answer
units
118
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Chapter 8 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
Ch. 8.1 - For the circuit in Fig. 8.2, what value of...Ch. 8.1 - Noting carefully how the circuit changes once the...Ch. 8.2 - In a source-free series RC circuit, find the...Ch. 8.3 - Prob. 4PCh. 8.3 - Prob. 5PCh. 8.4 - Prob. 6PCh. 8.4 - Prob. 7PCh. 8.4 - Prob. 8PCh. 8.5 - Evaluate each of the following at t = 0.8: (a)...Ch. 8.6 - For the circuit of Fig. 8.37, find vc(t) at t...
Ch. 8.7 - Prob. 11PCh. 8.7 - The voltage source 60 40u(t) V is in series with...Ch. 8.7 - Prob. 13PCh. 8.8 - Prob. 14PCh. 8.8 - Prob. 15PCh. 8 - A source-free RC circuit has R = 4 k and C = 22 F,...Ch. 8 - A source-free RC circuit has v(0) = 12 V and R =...Ch. 8 - The resistor in the circuit of Fig. 8.51 has been...Ch. 8 - Prob. 4ECh. 8 - Prob. 5ECh. 8 - Prob. 6ECh. 8 - Prob. 7ECh. 8 - Prob. 8ECh. 8 - Prob. 9ECh. 8 - The switch in Fig. 8.56 has been closed for a long...Ch. 8 - For the circuit in Fig. 8.56, find (a) the total...Ch. 8 - Design a capacitor-based circuit that can achieve...Ch. 8 - (a) Graph the function f (t) = 10e2t over the...Ch. 8 - The current i(t) flowing through a 1 k resistor is...Ch. 8 - Radiocarbon dating has a similar exponential time...Ch. 8 - For the circuit of Fig. 8.4, compute the time...Ch. 8 - Design a circuit which will produce a current of 1...Ch. 8 - Prob. 18ECh. 8 - Prob. 19ECh. 8 - Referring to the circuit shown in Fig. 8.11,...Ch. 8 - Prob. 21ECh. 8 - With the assumption that the switch in the circuit...Ch. 8 - The switch in Fig. 8.57 has been closed since...Ch. 8 - The switch in the circuit of Fig. 8.58 has been...Ch. 8 - Assuming the switch initially has been open for a...Ch. 8 - (a) Obtain an expression for v(t), the voltage...Ch. 8 - For the circuit of Fig. 8.61, determine ix, iL,...Ch. 8 - Prob. 28ECh. 8 - Prob. 29ECh. 8 - Prob. 30ECh. 8 - Prob. 31ECh. 8 - (a) Obtain an expression for vx as labeled in the...Ch. 8 - Prob. 33ECh. 8 - Prob. 34ECh. 8 - Prob. 35ECh. 8 - Prob. 36ECh. 8 - Prob. 37ECh. 8 - The switch in Fig. 8.70 is moved from A to B at t...Ch. 8 - Prob. 39ECh. 8 - Prob. 40ECh. 8 - Evaluate the following functions at t = 1, 0, and...Ch. 8 - Prob. 42ECh. 8 - Prob. 43ECh. 8 - Prob. 44ECh. 8 - You can use MATLAB to represent the unit-step...Ch. 8 - With reference to the circuit depicted in Fig....Ch. 8 - For the circuit given in Fig. 8.75, (a) determine...Ch. 8 - Prob. 48ECh. 8 - Prob. 49ECh. 8 - You build a portable solar charging circuit...Ch. 8 - The switch in the circuit of Fig. 8.78 has been...Ch. 8 - The switch in the circuit of Fig. 8.78 has been...Ch. 8 - Prob. 53ECh. 8 - Prob. 54ECh. 8 - Prob. 55ECh. 8 - For the circuit represented in Fig. 8.82, (a)...Ch. 8 - Prob. 58ECh. 8 - Prob. 59ECh. 8 - For the circuit given in Fig. 8.85, (a) determine...Ch. 8 - The circuit depicted in Fig. 8.86 contains two...Ch. 8 - Prob. 62ECh. 8 - Prob. 63ECh. 8 - A series RL circuit has a voltage that steps from...Ch. 8 - For the two-source circuit of Fig. 8.89, note that...Ch. 8 - (a) Obtain an expression for iL as labeled in Fig....Ch. 8 - Obtain an expression for i(t) as labeled in the...Ch. 8 - Obtain an expression for i1 as indicated in Fig....Ch. 8 - Plot the current i(t) in Fig. 8.93 if (a) R = 10 ;...Ch. 8 - A dc motor can be modeled as a series RL circuit...Ch. 8 - Prob. 71ECh. 8 - Prob. 72ECh. 8 - A series RC sequentially switched circuit has R =...Ch. 8 - Refer to the circuit of Fig. 8.95, which contains...Ch. 8 - In the circuit of Fig. 8.95, a 3 mF capacitor is...Ch. 8 - Prob. 78E
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- 8.3.3 For the RLC circuit shown in the image below, if R1 = 7 2 and R2 = 7 2, C = 0.36 F, and the power source Vs = 18 V, determine the initial value VR (0T). %3D Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper SI unit. R2 Vc + VR R1 2u(t) A Vs Your Answer: Answer units 118 llarrow_forward8.4 Step-Response Series RLC Circuits (3) Example 4 Having been in position for a long time, the switch in the circuit below is moved to position b at t = 0. Find v(t) and vR(t) for t > 0. 2.5 H 10Ω a ww- 12 V 22 10 V • Please refer to lecture or textbook for more detail elaboration. Answer: v(t) = {10 + [(-2cos3.464t – 1.1547sin3.464t)e-2t]} V VR(t)= [2.31sin3.464t]e-2t V 15 -19 wwarrow_forward3. The switch in the following circuit has been in position a for a long time and instantaneously moves to position b at t = 0. a. Determine the current, i (t), with the switch in position a (i.e. for t = 0-). b. Determine i (t) just after the switch moves to b and after a long time (i.e. t= 0* and t = ). c. Determine the time constant, t, for the switch in position b. d. Write out the equation for the i (t), for t> 0. e. Plot the current i (t) for t> 0. a 4kQ 2500 5kn t = 0 12V 15ka 20V | 340mHarrow_forward
- Question 8 Refer to the circuit below. The contribution due to the 2cos(1000t) A source in finding v(t) is : 100 p 2 con(1000) Aarrow_forwardFigure 8 showsa resistor inductor capacitor (RLC) circuit. The input to the system is the voltage v(t) and the output of the circuit is the current iz (t). 8 R, i(t) iz(t) v(t) Ve(t) R2 Figure 8 a) Determine differential equations containing i, (t), iz (t) and v. (t) for the appropriate meshes and nodes. b) Assuming zero initial conditions i) derive Laplace transformations of the differential equations found in a) ii) determine the transfer function G(s) = I2(s) VIs where l2(s) = L{i2 (t}} and V(s) = L{v(t}.arrow_forwardThe switch in Fig. 8.73 is moved from A to B at t = 0 after being at A for along time. This places the two capacitors in series, thus allowing equal andopposite dc voltages to be trapped on the capacitors. (a) Determine v1(0−),v2(0−), and vR(0−). (b) Find v1(0+), v2(0+), and vR(0+). (c) Determine thetime constant of vR(t). (d) Find vR(t), t > 0. (e) Find i(t). ( f ) Find v1(t) andv2(t) from i(t) and the initial values. (g) Show that the stored energy at t = ∞plus the total energy dissipated in the 20 k-resistor is equal to the energystored in the capacitors at t = 0.arrow_forward
- Part A: Open circuit and short circuit faults are important in circuit analysis. These are the most common faults for any circuit. Discuss open circuit and short circuit fault in a circuit. Then discuss why do you think capacitor acts as an open circuit, but inductor acts as a short circuit for a DC input. A detail response is required. Part B: Calculate the time constant and voltage v(t) at t=0, 100s, 200s, 500s, 800s for the following circuitarrow_forwardObtain an equation which describes the behavior of iA as labeled in Fig. 8.88 over the range of −1 ms ≤ t ≤ 5 ms.arrow_forward8.3.1 For the RLC circuit shown in the image below, if R₁ = 6 and R₂ = 1, C = 0.32 F, and the power source Vs = 17 V, determine the initial value i 1 (0+). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper Sl unit. + VR www R₁ 2u(t) A + VC C (+) Vs R₂ IL Harrow_forward
- Consider the given circuit. The switch has been closed for a very long time before opening at t=0s. Determine the expression for Io(t) for t≥0 (in ms) and the expression for the inductor voltage for t≥0.arrow_forward1H + e'u(t) + VR(t) 1F Figure 6.a 6. b) Find the Laplace transformation of the signals shown in Figure 6.b. x(t) 1 ↑ x2(t) 1 2 1 t 4 5, Figure 6.b 7. a) Find the transfer function for the system in Figure 7.a. Sketch pole-zero diagram. Is the system stable? 1 s + 3 s + 2 x(t) y(t) s(s + 3) 2 Figure 7.a b) Find f(t) using inverse Laplace transformation. Sketch the ROC. (8s +10)e -S F(s) = ; -2< Re(s) <-1 (s +1)(s +2) 8. a) Draw the f-i analogous electrical network of the mechanical system shown in Figure 8.a. Page 3 of 7 + +. +arrow_forwardObtain an expression for i1 as indicated in Fig. 8.85 that is valid for all values of t.arrow_forward
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