can somone show me how todo this problem step by step Find t

can somone show me how todo this problem step by step?

Find the value of Z in the circuit below if V_g = 100 -j50 V, I_g = 30 + j 20 A, and V_1 = 140+j30 V.

Solution

                                                                                                                                

Given Network requires to find the Impedence Z

Let us consider and ,   are voltages at node 1 and 2, 3 and 4

                                                                                                                                   

Given Network requires to find the Impedence Z

Let us consider and ,   are voltages at node 1 and 2, 3 and 4

Assume all currents are leaving from each node

Apply KCL (Kirchoff’s Current Law) at node1

                                                                              ...... (1)

Apply KCL at node2

                                                                                 ...... (2)

Rewriting above equations as

           

                                                        ...... (3)

                                   ...... (4)

Where

                                                                                 ...... (5)

Solving equations (3) and (4) and (5)

                                                 ...... (6)

       

                      

          

          

Procedure to solve network problems using Nodal Analysis

Assume all currents are leaving from each node

Apply KCL (Kirchoff’s Current Law) at node1

                                                                              ...... (1)

Apply KCL at node2

                                                                                 ...... (2)

Rewriting above equations as

          

                                                        ...... (3)

                                   ...... (4)

Where

                                                                                 ...... (5)

Solving equations (3) and (4) and (5)

                                                 ...... (6)

      

                     

         

         

Procedure to solve network problems using Nodal Analysis