Q. Determine the values of I₁ , I₂ , and I₃.

Solution:              

We need to determine the values of I₁ , I₂ , and I₃, therefore we will use node analysis.

For node A

                  -I₁ - I₂ +8mA = 0                    // according to KCL equation

                            -I₁ - I₂ = -8mA

For node B

                                    I₂ + I₃ +4mA = 0              // according to KCL equation

                                  I₂ + I₃ = - 4mA

For node C

                                     -I₃ + 2mA - 8mA = 0           // according to KCL equation

                                            I₃ = - 6mA

Put the value of I₃ in equation of node B

                                             I₂ - 6mA = -4mA

                                                              I₂ = 2mA          

Put the value of I₂ in equation of node A

                                                  -I₁ - 2mA = -8mA

                                               I₁ = 6mA