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 19E
(a)
To determine
Find the value of inductance
(b)
To determine
Find the value of energy stored in inductor at different values of time.
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8. A series RC circuit (Fig. 1 below) with one resistor (R=500 M) and one capacitor
(C=0.5 µF) is connected to an AC voltage supply which supplies a voltage v=100
sin(1000t+309) (from t=0 to t=∞). The initial charge on the capacitor is Qo = 25 µC
and the initial voltage on the capacitor is in the same sense as the AC voltage supply.
Obtain the current for t > 0.
Qo
Figure 1
500 D
0.5 μF
100 V
10 Ω
250
0.01 H
Figure 2
iz
250
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
ll
For the two-source circuit of Fig. 8.89, note that one source is always on. (a) Obtain an expression for i(t) valid for all t; (b) determine at what time the energy stored in the inductor reaches 99 percent of its maximum value.
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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- 8.3.1 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 llarrow_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 resistor in the circuit of Fig. 8.57 has been included to model the dielectric layer separating the plates of the 3.1 nF capacitor, and has a value of 55 MM. The capacitor is storing 200 mJ of energy just prior to t = 0. (a) Write an expression for v(t) valid for t≥ 0. (b) Compute the energy remaining in the capacitor at t = 170 ms. (c) Graph v(t) over the range of 0 < t < 850 ms, and identify the value of v(t) when t = 2t. + V FIGURE 8.57 Rarrow_forward
- 8.4 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_forwardA series RLC circuit has a resistance of 10 Q, a capacitance of 1000 µF, an inductance of 5 H and an applied voltage E(t)=100 cos10t volts. Assuming no initial current and charge when voltage is first applied, find the subsequent current in the system.arrow_forward8.23 At t=0 s, a 100-V source is switched in series with a 1-k resistor and an uncharged 2-µF capacitor. What are (a) the initial capacitor voltage, (b) the initial current, (c) the initial rate of capacitor voltage increase, and (d) the time required for the capacitor voltage to reach its maximum value?arrow_forward
- The resistor in the circuit of Fig. 8.57 has been included to model the dielectric layer separating the plates of the 3.1 nF capacitor, and has a value of 55 M2. The capacitor is storing 200 mJ of energy just prior to t = 0. (a) Write an expression for v(f) valid for t > 0. (b) Compute the energy remaining in the capacitor at t = 170 ms. (c) Graph v(t) over the range of 0 < t < 850 ms, and identify the value of v(t) when t = 2t. C: Rarrow_forwardCalculate initial conditions for inductor current and capacitor voltage in circuit presented in Fig. 8.3. Assume: L=1H, C=0.5F, R=1Ω, e(t) = 10 2 sin(t + 45 ) V, i(t) = 2sin(t − 45 ) A.arrow_forwardQuestion 8. 12V in R₁ A R₁ 5 V C R₂2 w R₂ 4 Consider the circuit below, where the capacitor is uncharged, and the switch is open. The different elements of the circuit have the following values: R₁ = 22, R₂ = 22, R3 = 422, R₁ = 82, R₁ = 82 and C = 10 µF. What is the current I₁ in the circuit when the switch is moved to position 1? Enter your answer, in Amps, in the box below. The answer is acceptable within a tolerance of 0.1 A. h₁: R3 After a long time that the switch has been closed, what is the voltage Vc across the capacitor? Enter your answer, in Volts, in the box below. The answer is acceptable within a tolerance of 0.1 V. Vc:arrow_forward
- Obtain an equation which describes the behavior of iA as labeled in Fig. 8.88 over the range of −1 ms ≤ t ≤ 5 ms.arrow_forward• AUIB + 14 Arial نص عادي 100% ... 31 11· 2I 3 I4I5 6.I 7.I8 I9 110:I 11 I 12 I 13 I 14 I 15 1 The circuit in Fig. 8.12 has reached steady state at t = 0. If the make- before-break switch moves to position b at t = 0, calculate i(f) for t> 0. 17 1 18 F 10 Ω a ww t=0 50 V 52 1H Figure 8.12 For Practice Prob. 8.4. Answer: e'(5 cos 1.6583t – 7.5378 sin 1.6583f) A. AR 02:22 acer ASPIRE ONE F1 F2 F3 F4 F5 F6 F7 z' F8 F9 F10 F11 F12 PrtSc Pause Break NumLk Scr Lk SysRq $ & 7 8 8. 5 O 6 9 ww %23 12 1 11: 10. 8 6arrow_forwardThank youarrow_forward
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