MESH ANALYSIS

 USES OF MESH ANALYSIS :

       It is an important technique to finding solution in a network.

ABOUT MESH ANALYSIS :

1. If the network has a large number of voltage source , the mesh analysis is applicable.

2. If there is a current source then it will convert into voltage source for apply mesh analysis.

3. The mesh analysis s only applicable to the planar circuit .

        Example of planar circuit :-

        Example of Non Planar circuit :- 

STEPS INVOLVES IN MESH ANALYSIS :

  Step - 1 :  To find whether the circuit is planar or Non - Planar.

  Step - 2 :  Select the mesh current.

  Step - 3 : Using the Kirchhoff's voltage law to get the equation in terms of unknown to solve the problem.

NOTE :

No . of Equation = No . of mesh current

APPLICATION OF MESH ANALYSIS :

Write the MESH CURRENT equation in the circuit.

                  

STEP - 1 : The above circuit is planar.

STEP - 2 :  The selected mesh currents are  I1 and I2

STEP - 3 :  Using the Kirchhoff's' voltage law

          There are two loops in the above circuit. so, apply law in both first loop and second loop . The equation is

                      5 I1 + 2( I1 -I2 ) = 10

                      10 I2 + 2 ( I2 -I1 ) + 50 =0                                                   

          The following equation is

                       7 I1 - 2 I2 = 10                                                                     ----> 1 

                        -2 I1 + 12 I2 = -50                                                             -----> 2

        By solving the above equations , we have

          I1 = 0.25 A   ,    I2 =  -4.125 A

ANSWER THE QUESTIONS :

1. If the circuit is planar then which analysis is preferable ?

2. MESH ANALYSIS need which source ?

3.  Number of equation is equal to ?