Analysis
1. Given the circuit in Figure 7.6.1
, write the mesh loop equations.
![clipboard_e40e5a4b50440eff52a87fc7591ed517c.png](https://eng.libretexts.org/@api/deki/files/27267/clipboard_e40e5a4b50440eff52a87fc7591ed517c.png?revision=1)
Figure 7.6.1
2. Using mesh analysis, determine the value of \(V_b\) for the circuit shown in Figure 7.6.1
.
3. For the circuit shown in Figure 7.6.1
, use mesh analysis to determine the current through the 1 k\(\Omega\) resistor.
4. Given the circuit in Figure 7.6.2
, write the mesh loop equations and the associated determinants.
![clipboard_e916df707233b197a2b4b9a179dd7ee34.png](https://eng.libretexts.org/@api/deki/files/27268/clipboard_e916df707233b197a2b4b9a179dd7ee34.png?revision=1)
Figure 7.6.2
5. Using mesh analysis, determine the value of \(V_b\) for the circuit shown in Figure 7.6.2
.
6. For the circuit shown in Figure 7.6.2
, use mesh analysis to determine the current through the 500 \(\Omega\) resistor.
7. Given the circuit in Figure 7.6.3
, write the mesh loop equations.
![clipboard_e24f3ed741f283777407f71e24510e7af.png](https://eng.libretexts.org/@api/deki/files/27269/clipboard_e24f3ed741f283777407f71e24510e7af.png?revision=1)
Figure 7.6.3
8. Using mesh analysis, determine the value of \(V_b\) for the circuit shown in Figure 7.6.3
.
9. For the circuit shown in Figure 7.6.3
, use mesh analysis to determine the current through the 75 \(\Omega\) resistor.
10. Given the circuit in Figure 7.6.4
, write the mesh loop equations and the associated determinants.
![clipboard_e51fbe78b668b7cb6b985da2d0e847b75.png](https://eng.libretexts.org/@api/deki/files/27270/clipboard_e51fbe78b668b7cb6b985da2d0e847b75.png?revision=1)
Figure 7.6.4
11. Using mesh analysis, determine the value of \(V_{bc}\) for the circuit shown in Figure 7.6.4
.
12. For the circuit shown in Figure 7.6.4
, use mesh analysis to determine the current through the 10 k\(\Omega\) resistor.
13. Given the circuit in Figure 7.6.5
, write the mesh loop equations.
![clipboard_e919267dec07c8020d72ee96dc77a39ba.png](https://eng.libretexts.org/@api/deki/files/27271/clipboard_e919267dec07c8020d72ee96dc77a39ba.png?revision=1)
Figure 7.6.5
14. Using mesh analysis, determine the value of \(V_{ac}\) for the circuit shown in Figure 7.6.5
.
15. For the circuit shown in Figure 7.6.5
, use mesh analysis to determine the current through the 4 k\(\Omega\) resistor.
16. Given the circuit in Figure 7.6.6
, write the mesh loop equations and the associated determinants.
![clipboard_ed38c3c6a5be0f79822f41f972f22195a.png](https://eng.libretexts.org/@api/deki/files/27272/clipboard_ed38c3c6a5be0f79822f41f972f22195a.png?revision=1)
Figure 7.6.6
17. Using mesh analysis, determine the value of \(V_c\) for the circuit shown in Figure 7.6.6
.
18. For the circuit shown in Figure 7.6.6
, use mesh analysis to determine the current through the 10 k\(\Omega\) resistor.
19. Given the circuit in Figure 7.6.7
, write the mesh loop equations.
![clipboard_ec99dc9f86c442b4fed4d2c3f88f72578.png](https://eng.libretexts.org/@api/deki/files/27273/clipboard_ec99dc9f86c442b4fed4d2c3f88f72578.png?revision=1)
Figure 7.6.7
20. Using mesh analysis, determine the value of \(V_{bd}\) for the circuit shown in Figure 7.6.7
.
21. For the circuit shown in Figure 7.6.7
, use mesh analysis to determine the current through the 500 \(\Omega\) resistor.
22. Given the circuit in Figure 7.6.8
, write the mesh loop equations.
![clipboard_ee44a10bdc101ce6342271e640ba2e63c.png](https://eng.libretexts.org/@api/deki/files/27274/clipboard_ee44a10bdc101ce6342271e640ba2e63c.png?revision=1)
Figure 7.6.8
23. Using mesh analysis, determine the value of \(V_{ad}\) for the circuit shown in Figure 7.6.8
.
24. For the circuit shown in Figure 7.6.8
, use mesh analysis to determine the current through the 3 k\(\Omega\) resistor.
25. Given the circuit in Figure 7.6.9
, write the mesh loop equations.
![clipboard_ec515fce523b3f8bc91dc67ab0a993343.png](https://eng.libretexts.org/@api/deki/files/27275/clipboard_ec515fce523b3f8bc91dc67ab0a993343.png?revision=1)
Figure 7.6.9
26. Using mesh analysis, determine the value of \(V_e\) for the circuit shown in Figure 7.6.9
.
27. For the circuit shown in Figure 7.6.9
, use mesh analysis to determine the current through the 9 k\(\Omega\) resistor.
28. Given the circuit in Figure 7.6.10
, write the mesh loop equations and the associated determinants.
![clipboard_e58eba83ce1b61002b4dd81d21b91030e.png](https://eng.libretexts.org/@api/deki/files/27276/clipboard_e58eba83ce1b61002b4dd81d21b91030e.png?revision=1)
Figure 7.6.10
29. Using mesh analysis, determine the value of \(V_{bc}\) for the circuit shown in Figure 7.6.10
.
30. Given the circuit shown in Figure 7.6.10
, use mesh analysis to determine the current through the 600 \(\Omega\) resistor.
31. Given the circuit in Figure 7.6.11
, write the mesh loop equations.
![clipboard_e21aaef0cfb955896bf6351916b9532f2.png](https://eng.libretexts.org/@api/deki/files/27277/clipboard_e21aaef0cfb955896bf6351916b9532f2.png?revision=1)
Figure 7.6.11
32. Using mesh analysis, determine the value of \(V_{bc}\) for the circuit shown in Figure 7.6.11
.
33. Given the circuit shown in Figure 7.6.11
, use mesh analysis to determine the current through the 800 \(\Omega\) resistor.
34. For the circuit in Figure 7.6.12
, write the mesh loop equations.
![clipboard_e985b228be046adc7af29ca7e5d98302b.png](https://eng.libretexts.org/@api/deki/files/27278/clipboard_e985b228be046adc7af29ca7e5d98302b.png?revision=1)
Figure 7.6.12
35. Using mesh analysis, determine the value of \(V_a\) for the circuit shown in Figure 7.6.12
.
36. For the circuit shown in Figure 7.6.12
, use mesh analysis to determine the current through the 3 k\(\Omega\) resistor.
37. Given the circuit in Figure 7.6.13
, write the mesh loop equations.
![clipboard_ed7ac04e14e8b3d9e46866739c92e57ec.png](https://eng.libretexts.org/@api/deki/files/27279/clipboard_ed7ac04e14e8b3d9e46866739c92e57ec.png?revision=1)
Figure 7.6.13
38. Using mesh analysis, determine the value of \(V_c\) for the circuit shown in Figure 7.6.13
.
39. For the circuit shown in Figure 7.6.13
, use mesh analysis to determine the current passing through the 8.5 k\(\Omega\) resistor.
40. Given the circuit in Figure 7.6.14
, write the mesh loop equations (consider using source conversion).
![clipboard_ef07e959b01d918ee03f02d9f47bef828.png](https://eng.libretexts.org/@api/deki/files/27280/clipboard_ef07e959b01d918ee03f02d9f47bef828.png?revision=1)
Figure 7.6.14
41. Using mesh analysis, determine the value of \(V_a\) for the circuit shown in Figure 7.6.14
.
42. For the circuit shown in Figure 7.6.14
, use mesh analysis to determine the current passing through the 30 k\(\Omega\) resistor.
43. Given the circuit in Figure 7.6.15
, write the mesh loop equations (consider using source conversion).
![clipboard_e34a5abb7075151c0d9897f352526a2ee.png](https://eng.libretexts.org/@api/deki/files/27281/clipboard_e34a5abb7075151c0d9897f352526a2ee.png?revision=1)
Figure 7.6.15
44. Using mesh analysis, determine the value of \(V_b\) for the circuit shown in Figure 7.6.15
.
45. For the circuit shown in Figure 7.6.15
, use mesh analysis to determine the current through the 5 k\(\Omega\) resistor.
46. Given the circuit in Figure 7.6.16
, write the node equations.
![clipboard_e52dcff7da2242df4b5bf0812ba5acb9d.png](https://eng.libretexts.org/@api/deki/files/27282/clipboard_e52dcff7da2242df4b5bf0812ba5acb9d.png?revision=1)
Figure 7.6.16
47. Using nodal analysis, determine the value of \(V_b\) for the circuit shown in Figure 7.6.16
.
48. For the circuit shown in Figure 7.6.16
, use nodal analysis to determine the current through the 3 k\(\Omega\) resistor.
49. Given the circuit in Figure 7.6.17
, write the node equations.
![clipboard_ea75bb762261f0219f05ab5b7915f3031.png](https://eng.libretexts.org/@api/deki/files/27283/clipboard_ea75bb762261f0219f05ab5b7915f3031.png?revision=1)
Figure 7.6.17
50. Using nodal analysis, determine the value of \(V_b\) for the circuit shown in Figure 7.6.17
.
51. For the circuit shown in Figure 7.6.17
, use nodal analysis to determine the current passing through the 12 k\(\Omega\) resistor.
52. Given the circuit in Figure 7.6.18
, write the node equations.
![clipboard_e90a62ab29a067a89c436d74842662a8c.png](https://eng.libretexts.org/@api/deki/files/27284/clipboard_e90a62ab29a067a89c436d74842662a8c.png?revision=1)
Figure 7.6.18
53. Using nodal analysis, determine the value of \(V_{ba}\) for the circuit shown in Figure 7.6.18
.
54. For the circuit shown in Figure 7.6.18
, use nodal analysis to determine the current passing through the 100 \(\Omega\) resistor.
55. Given the circuit in Figure 7.6.19
, write the node equations.
![clipboard_e47a322f568fec29474535a9e1ff83d38.png](https://eng.libretexts.org/@api/deki/files/27285/clipboard_e47a322f568fec29474535a9e1ff83d38.png?revision=1)
Figure 7.6.19
56. Using nodal analysis, determine the value of \(V_{ac}\) for the circuit shown in Figure 7.6.19
.
57. For the circuit shown in Figure 7.6.19
, use nodal analysis to determine the current passing through the 20 k\(\Omega\) resistor.
58. Given the circuit in Figure 7.6.20
, write the node equations.
![clipboard_e173e0332978f8ae5867b9a5d3f9d9b58.png](https://eng.libretexts.org/@api/deki/files/27286/clipboard_e173e0332978f8ae5867b9a5d3f9d9b58.png?revision=1)
Figure 7.6.20
59. Using nodal analysis, determine the value of \(V_b\) for the circuit shown in Figure 7.6.20
.
60. For the circuit shown in Figure 7.6.20
, use nodal analysis to determine the current through the 3 k\(\Omega\) resistor.
61. Given the circuit in Figure 7.6.21
, write the node equations.
![clipboard_e7610e7d4578c9242711fb2025b2aa0b3.png](https://eng.libretexts.org/@api/deki/files/27287/clipboard_e7610e7d4578c9242711fb2025b2aa0b3.png?revision=1)
Figure 7.6.21
62. Using nodal analysis, determine the value of \(V_b\) for the circuit shown in Figure 7.6.21
.
63. For the circuit shown in Figure 7.6.21
, use nodal analysis to determine the current through the 40 \(\Omega\) resistor.
64. Given the circuit in Figure 7.6.13
, write the node equations.
65. Using nodal analysis, determine the value of \(V_d\) for the circuit shown in Figure 7.6.13
.
66. For the circuit shown in Figure 7.6.13
, use nodal analysis to determine the current passing through the 20 k\(\Omega\) resistor.
67. Given the circuit in Figure 7.6.14
, write the node equations using the general approach. Do not use source conversions.
68. Using nodal analysis, determine the value of \(V_{ab}\) for the circuit shown in Figure 7.6.14
.
69. For the circuit shown in Figure 7.6.14
, use nodal analysis to determine the current passing through the 30 k\(\Omega\) resistor.
70. Given the circuit in Figure 7.6.15
, write the node equations.
71. Using nodal analysis, determine the value of \(V_b\) for the circuit shown in Figure 7.6.15
.
72. For the circuit shown in Figure 7.6.15
, use nodal analysis to determine the current through the 4 k\(\Omega\) resistor.
73. For the circuit of Figure 7.6.22
, determine \(V_b\).
![clipboard_e418d1b70d0f641522e98b55c2c731c00.png](https://eng.libretexts.org/@api/deki/files/27288/clipboard_e418d1b70d0f641522e98b55c2c731c00.png?revision=1)
Figure 7.6.22
74. For the circuit of Figure 7.6.23
, determine \(V_c\).
![clipboard_ec22ea23944202fd5e917618e3c2edf31.png](https://eng.libretexts.org/@api/deki/files/27289/clipboard_ec22ea23944202fd5e917618e3c2edf31.png?revision=1)
Figure 7.6.23
75. Given the circuit of Figure 7.6.24
, determine \(V_b\).
![clipboard_e297edb2a459ccfc1519c3b8721fc1ff8.png](https://eng.libretexts.org/@api/deki/files/27290/clipboard_e297edb2a459ccfc1519c3b8721fc1ff8.png?revision=1)
Figure 7.6.24
76. Find the current through the 10 k\(\Omega\) resistor given the circuit of Figure 7.6.25
.
![clipboard_eada82c3c9a0da3407cc9a56a363ce2da.png](https://eng.libretexts.org/@api/deki/files/27291/clipboard_eada82c3c9a0da3407cc9a56a363ce2da.png?revision=1)
Figure 7.6.25
77. Given the circuit of Figure 7.6.26
, determine \(V_c\).
![clipboard_ee6d309cb3fc359ddbc3b870183c3f130.png](https://eng.libretexts.org/@api/deki/files/27292/clipboard_ee6d309cb3fc359ddbc3b870183c3f130.png?revision=1)
Figure 7.6.26
78. In the circuit of Figure 7.6.27
, determine \(V_a\).
![clipboard_e31a12c2719c31fc656e23659bedebb0a.png](https://eng.libretexts.org/@api/deki/files/27293/clipboard_e31a12c2719c31fc656e23659bedebb0a.png?revision=1)
Figure 7.6.27
79. For the circuit of Figure 7.6.28
, determine \(V_a\).
![clipboard_e5bde27a14b245b4cd44aa768db36d277.png](https://eng.libretexts.org/@api/deki/files/27294/clipboard_e5bde27a14b245b4cd44aa768db36d277.png?revision=1)
Figure 7.6.28
80. For the circuit of Figure 7.6.29
, determine \(V_a\).
![clipboard_ef266b586783cf86b7c1af2df833b02a8.png](https://eng.libretexts.org/@api/deki/files/27295/clipboard_ef266b586783cf86b7c1af2df833b02a8.png?revision=1)
Figure 7.6.29
Challenge
81. Given the circuit in Figure 7.6.8
, write the node equations.
82. Using nodal analysis, determine the value of \(V_b\) for the circuit shown in Figure 7.6.8
.
83. For the circuit shown in Figure 7.6.8
, use nodal analysis to determine the current through the 3 k\(\Omega\) resistor.
84. Given the circuit in Figure 7.6.6
, write the node equations.
85. Using nodal analysis, determine the value of \(V_c\) for the circuit shown in Figure 7.6.6
.
86. For the circuit shown in Figure 7.6.6
, use nodal analysis to determine the current through the 8 k\(\Omega\) resistor.
87. Given the circuit in Figure 7.6.10
, write the node equations and the associated determinants.
88. Using nodal analysis, determine the value of \(V_{bc}\) for the circuit shown in Figure 7.6.10
.
89. For the circuit shown in Figure 7.6.10
, use nodal analysis to determine the current through the 2 k\(\Omega\) resistor.
90. Given the circuit of Figure 7.6.30
, determine \(V_c\).
![clipboard_ebd0f28e932dda229505a2c4834aabd60.png](https://eng.libretexts.org/@api/deki/files/27296/clipboard_ebd0f28e932dda229505a2c4834aabd60.png?revision=1)
Figure 7.6.30
91. Find the current through the 10 k\(\Omega\) resistor in the circuit of Figure 7.6.31
.
![clipboard_e5445ab9e42a702e85c5a8cdda7a6907f.png](https://eng.libretexts.org/@api/deki/files/27297/clipboard_e5445ab9e42a702e85c5a8cdda7a6907f.png?revision=1)
Figure 7.6.31
92. Given the circuit of Figure 7.6.32
, determine \(V_c\).
![clipboard_e115599a6140bcbca337360d9e671e263.png](https://eng.libretexts.org/@api/deki/files/27298/clipboard_e115599a6140bcbca337360d9e671e263.png?revision=1)
Figure 7.6.32
93. Given the circuit of Figure 7.6.33
, determine the current through the 5 k\(\Omega\) resistor.
![clipboard_e9a227eda63c91c6fe1307730f4c46c97.png](https://eng.libretexts.org/@api/deki/files/27299/clipboard_e9a227eda63c91c6fe1307730f4c46c97.png?revision=1)
Figure 7.6.33
94. For the circuit of Figure 7.6.34
, determine \(V_b\).
![clipboard_e791bea4dcd0c05f23eef434e568bed1a.png](https://eng.libretexts.org/@api/deki/files/27300/clipboard_e791bea4dcd0c05f23eef434e568bed1a.png?revision=1)
Figure 7.6.34
95. For the circuit of Figure 7.6.35
, determine \(V_c\).
![clipboard_e08d80b654b47f3745f7fda56a8610ae2.png](https://eng.libretexts.org/@api/deki/files/27301/clipboard_e08d80b654b47f3745f7fda56a8610ae2.png?revision=1)
Figure 7.6.35
96. For the circuit of Figure 7.6.36
, determine \(V_a\).
![clipboard_e15fbae94a4dbfb2df1d95a58bfc904ed.png](https://eng.libretexts.org/@api/deki/files/27302/clipboard_e15fbae94a4dbfb2df1d95a58bfc904ed.png?revision=1)
Figure 7.6.36
97. For the circuit of Figure 7.6.37
, determine \(V_b\).
![clipboard_e1181e7b4689efca2c1f4a5ed5d63f7c9.png](https://eng.libretexts.org/@api/deki/files/27303/clipboard_e1181e7b4689efca2c1f4a5ed5d63f7c9.png?revision=1)
Figure 7.6.37