Network Elements and the Concept of Circuit

Network Elements and the Concept of Circuit

Easy Questions

Network Theory

Network Elements and the Concept of Circuit
Network theory miscellaneous
  1. For the above figure what is the maximum number of branches you may add before the resulting structure becomes nonplanar?








  1. View Hint View Answer Discuss in Forum

    We can add maximum number of six branches to make to resulting structure becomes nonplanar as shown in the figure.


    Correct Option: B

    We can add maximum number of six branches to make to resulting structure becomes nonplanar as shown in the figure.


  1. For the graph shown below. Find the minimum number of branches that may be added to make the resulting structure non-planar—










  1. View Hint View Answer Discuss in Forum

    For this graph the 3 minimum number of branches that we can added before the resulting structure becomes non-planar as shown below in the figure.


    Correct Option: B

    For this graph the 3 minimum number of branches that we can added before the resulting structure becomes non-planar as shown below in the figure.


  1. The graph of a network has six branches with three tree branches. The minimum number of equations required for the solution of the network is—








  1. View Hint View Answer Discuss in Forum

    We know that
    b = n – 1 (where b = no. of tree branches)
    3 = n – 1
    or n = 4
    Now, number of equation (i.e. meshes) required is given by the relation.
    No. of equation = b – n + 1 = 6 – 4 + 1 (where b = no. of branches) = 3

    Correct Option: B

    We know that
    b = n – 1 (where b = no. of tree branches)
    3 = n – 1
    or n = 4
    Now, number of equation (i.e. meshes) required is given by the relation.
    No. of equation = b – n + 1 = 6 – 4 + 1 (where b = no. of branches) = 3

  1. A planar graph has 4 nodes and 5 branches the number of meshes in dual graph is—








  1. View Hint View Answer Discuss in Forum

    We know that
    b = n – 1 + L; where b = no. of branches
    5 = 4 – 1 + L n = no. of nodes
    or L = 2 L = no. of loops
    since node pairs and meshes are interchanged in dual so in dual the number of meshes is 3.

    Correct Option: C

    We know that
    b = n – 1 + L; where b = no. of branches
    5 = 4 – 1 + L n = no. of nodes
    or L = 2 L = no. of loops
    since node pairs and meshes are interchanged in dual so in dual the number of meshes is 3.

  1. For the given graph, match List I with List II—


    List I List II
    A.1, 2, 3, 4 1. Twigs
    B.4, 5, 6, 72. Links
    C.1, 2, 3, 4 3. Fundamental cutset
    D. 1, 4, 5, 6, 7 4.Fundamental loop










  1. View Hint View Answer Discuss in Forum

    NA

    Correct Option: A

    NA