Q:       Find out the value of Current through all meshes.

 Solution:

            Inaccurate approach

                                     I₂=-5A

                                     I₃=+5A

            We drive all of these

By applying KVL equation for mesh 1

                                     -5+I₁-I₃+2I₁=0 -------------------- (A)

            By applying KVL equation for super mesh

                                    1(I₃-I₁) +4I₂+3I₂+2+4I₃- 4I₄+6I₃=0 ------------ (B)                                   

By applying KVL equation for Mesh 4

                                                                4I₄ - 4I₃+2I₄-3=0 ------------ (C)

                        By Simplifying

                                    Equation (A)                                3I₁ - I₃ = 5

                                    Equation (B)                -I₁+7I₂+11I₃-4I₄=-2

                                    Equation (C)                            - 4I₃ + 6I₄=3

                        And also                                  -I₂+I₃=5

                                       Hence                I₁=2.481A

                                                                 I₂=-2.556A

                                                              I₃=2.444A

                                                               I₄=2.130A