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 35E
(a)
To determine
Find value of voltage
(b)
To determine
Find value of
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For the circuit shown, let V₁ = 12 V, Is1 = 2A, Is2 = 4A, R₁ = 2, R2 = 4, and R3 = 6. Determine the current
Io using Mesh method as follows:
1. Choose all meshes that must be included, if any, to construct the supermesh.
11, 13
O 11, 12
O 12, 13, 11
12, 13
O none of the above
2. Consider mesh (loop) iz, write the corresponding expression in terms of mesh currents i₁, 12, 13 as
of the form (R11 · i₁ + R₁2 · 2 + R₁3-13 = V₁), then enter the corresponding values:
R11
R12
R13
Ω
Ω
Ω
V
V₁₂
3. Solve the above equation to determine then lo :
10
=
Ist
A
R₁
ww
ww
R₂
+
V₁
1,
R3
The relative tolerance for this problem is 7%.
ww
IS2
Enter the matrix values (numerical) to solve for mesh-currents i₁, iz and 13, for the circuit shown, using
Mesh method. In the matrix, row 1, row 2, and row 3 correspond to i₁, 12 and 13, current expressions,
respectively. Let Vs=15, R₁ =50, R₂-32, R3-8, R4-17, R5-29, and R=41.
[R11 R12 R13
The matrix values are shown here: R21 R22 R23
= V₂
R31 R32 R33
[V3]
The relative tolerance for this problem is 5%.
R1
Loop i₁
R11
+
Vs
Ω
R12
Ω
R13
Ω
V
V₁=
Loop 12
R21
Ω
R22
Ω
R23
Ω
V
V₂
Loop 13
Ω
R31
R32
Ω
R33
Ω
V3=
V
R2
R4
R3
R5
R6
For circuit shown, use Mesh method to find the voltage Vo as follows. Enter, in the matrix format, as
below, the loop currents, where row 1, and row 2, correspond to i₁, and i2 loop current expressions,
respectively. Let Vs1-5, Vs2-15, R₁=5, R₂=2, and R3=8.
The matrix values are shown here:
[R11 R12 21
R21 R22
Rx - M - M
iz
=
The relative tolerance for this problem is 5%.
Vst
(+-
R1
ww
Loop i₁
R115
G12
V₁ =
Loop 12
R21
R22
V₂=
Ω
C C
Ω
V
Ω
02
C
V
R₂
ww
VS2
+
Ry
ww
+
Vo
Use Cramer's rule (matrix), substitution, or any other method to calculate the voltages:
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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