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7.6: Exercises

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    Analysis

    1. Given the circuit in Figure 7.6.1 , write the mesh loop equations.

    clipboard_e40e5a4b50440eff52a87fc7591ed517c.png

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    Figure 7.6.22

    74. For the circuit of Figure 7.6.23 , determine \(V_c\).

    clipboard_ec22ea23944202fd5e917618e3c2edf31.png

    Figure 7.6.23

    75. Given the circuit of Figure 7.6.24 , determine \(V_b\).

    clipboard_e297edb2a459ccfc1519c3b8721fc1ff8.png

    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

    Figure 7.6.25

    77. Given the circuit of Figure 7.6.26 , determine \(V_c\).

    clipboard_ee6d309cb3fc359ddbc3b870183c3f130.png

    Figure 7.6.26

    78. In the circuit of Figure 7.6.27 , determine \(V_a\).

    clipboard_e31a12c2719c31fc656e23659bedebb0a.png

    Figure 7.6.27

    79. For the circuit of Figure 7.6.28 , determine \(V_a\).

    clipboard_e5bde27a14b245b4cd44aa768db36d277.png

    Figure 7.6.28

    80. For the circuit of Figure 7.6.29 , determine \(V_a\).

    clipboard_ef266b586783cf86b7c1af2df833b02a8.png

    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

    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

    Figure 7.6.31

    92. Given the circuit of Figure 7.6.32 , determine \(V_c\).

    clipboard_e115599a6140bcbca337360d9e671e263.png

    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

    Figure 7.6.33

    94. For the circuit of Figure 7.6.34 , determine \(V_b\).

    clipboard_e791bea4dcd0c05f23eef434e568bed1a.png

    Figure 7.6.34

    95. For the circuit of Figure 7.6.35 , determine \(V_c\).

    clipboard_e08d80b654b47f3745f7fda56a8610ae2.png

    Figure 7.6.35

    96. For the circuit of Figure 7.6.36 , determine \(V_a\).

    clipboard_e15fbae94a4dbfb2df1d95a58bfc904ed.png

    Figure 7.6.36

    97. For the circuit of Figure 7.6.37 , determine \(V_b\).

    clipboard_e1181e7b4689efca2c1f4a5ed5d63f7c9.png

    Figure 7.6.37

    Simulation

    98. Perform a DC bias simulation on the circuit depicted in Figure 7.6.7 to verify the component currents.

    99. Perform a DC bias simulation on the circuit depicted in Figure 7.6.9 to verify the component currents.

    100. Perform a DC bias simulation on the circuit depicted in Figure 7.6.7 to verify the loop currents and node voltages.

    101. Perform a DC bias simulation on the circuit depicted in Figure 7.6.16 to verify the node voltages.

    102. Perform a DC bias simulation on the circuit depicted in Figure 7.6.19 to verify the node voltages.

    103. Perform a DC bias simulation on the circuit depicted in Figure 7.6.20 to verify the node voltages.

    This page titled 7.6: Exercises is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by James M. Fiore via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.

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