In a simple coplanar network, there are 7 branches and 4 junctions. How many mesh currents are required for the solution of the network?

The correct answer is option 3):(Four)

Concept:

Nodal Analysis:

• Nodal analysis is a method of analyzing networks with the help of KCL equations.
• For a network of N nodes, the number of simultaneous equations to be solved to get the unknowns = Number of KCL equations = N - 1

Mesh Analysis:

• Mesh analysis is a method of analyzing networks with the help of KVL equations.
• For a network having N nodes and B branches,
• the number of simultaneous equations to be solved to get Unknowns
• the unknowns = Number of KVL equations = number of independent loop equations = B - N + 1 Where, B = no of the branch, N = No of node

Calculation:

Given

B = 7

N = 4

No of mesh current = 7-4 +1

= 4