Concept of SUPER MESH.

"If an IDEAL CURRENT SOURCE (Dependent OR Independent) is common between two meshes then it is referred as a SUPER MESH by avoiding Ideal current source".

Q. Why Concept of SUPER MESH is developed?

➝ The concept of SUPER MESH is developed because it reduce the number of meshes in the network.

➝ In previous article ( If we doesn't have any idea about SUPER NODE then what we do???) We learn that if any ideal voltage source is present in the Network then we need to assume current of an Ideal Voltage Source similarly if any ideal current source is present in the network then we need to assume voltage of an Ideal current source. 

➝so from above discussion we conclude that concept of SUPER MESH is developed to avoid assumption of Voltage of an Ideal current source.

• Important points regarding SUPER MESH:-

1. A SUPER MESH has no current of it's own.
2. A current source in SUPER MESH provide equation which is necessary for solving of Mesh Current.

☺ Consider the Network as shown in below figure, Find the Value of current "I" ______in Amp.

Fig.(a) Find the value of I

• SOLUTION:-

If any ideal current source is COMMON between two meshes then super mesh is form by avoiding Ideal current source present in the network.

Fig(b) Represent Super Mesh 

In this figure ;

                I1 =  current flow through Mesh(loop) 1

                I2 =  Current flow through Mesh (loop) 2

Blue Dotted Line Represent SUPER MESH please observed in Figure.

• KVL OF SUPER MESH:-

      -10 + I1×1 + I2×3 + 5 = 0 

   ∴ I1 + 3I2 = 5 .................(1)

• KCL OF SUPER MESH:-

          I2 - I1 = 2 .................(2)

NOTE; in figure I2 is in the Direction of 2 AMP current source so it's direction is taken as POSITIVE and I1 Oppose the 2AMP current source so its direction is taken as a NEGATIVE please seen in figure (b).

• Adding equation number (1)&(2) we get.....

           I1 + 3I2 =5

           -I1 + I2 = 2                       

         ______________

                    4I2 = 7 

So,.           I2 = 7/4 AMP.

AS SHOWN IN FIGURE ;

                          I2 = I 

                 

                      

                  I = 7/4 AMP.