Solutions: 1. 2.How Can We Check…mesh currents? 1. The reference directions of the element currents and voltages are labeled on this circuit drawing. The subscripts suggest a numbering of the 7 elements of this circuit. That numbering has been used to tabulate the values of the voltage and current of each circuit element. Computer analysis of this circuit indicates that the mesh currents are ab6 A and 1.5 Aii=−= a. Check to see if the mesh currents satisfy the constitutive equations of the circuit elements. b. Check to see if the mesh currents satisfy agree with the tabulated values of the element currents and voltages. c. Verify that power is conserved. v, V i, A p = iv, W 1 −60.0 −6.0 360 2 12.0 6.0 72 3 162.0 −6.0 −972 4 90.0 −7.50 −675 5 222.0 1.50 333 6 −120.0 −1.50 180 7 −12.0 −1.50 18 12. Computer analysis of this circuit indicates that the mesh currents are ab0.222 A and 1.111 Aii==− The reference directions of the element currents and voltages are labeled on this circuit drawing. The subscripts suggest a numbering of the 7 elements of this circuit. That numbering has been used to set up a table for the values of the voltage and current for each circuit element. Complete the table. v, V i, A p = iv, W 1 2 3 4 5 6 7 2Solutions: 1. For example we can check: Ohm’s law: ()()()44 ab12 12 12 6 1.5 90 Vvi ii=− =− − =− − − = KVL for mesh b: ()()()() ()4675 5 4 17ab a aab0212 2 10 832 20 32 6 20 1.5 222 Vvvvv vv vvii i iii−−−= ⇒ =− −=− − − − −=− + =− − + = The constitutive equation of the CCCS: ()()37 b44 41.56 Aii i==−=−=− 2. v, V i, A p = iv, W 1 −2.222 0.2222 −0.4937 2 12 −0.2222 −2.6664 3 1.778 −0.2222 −0.3951 4 −8.00 1.333 −10.664 5 −22.44 1.111 −24.933 6 −5.559 1.111 6.176 7 8.889 −1.111 9.8757