【正文】
ethods of Analysis 39 A circuit with two meshes. ?Apply KVL to each mesh. For mesh 1, ?For mesh 2, PSUT Methods of Analysis 40 123131213111)(0)(ViRiRRiiRiRV????????223213123222)(0)(ViRRiRiiRViR??????????Solve for the mesh currents. ?Use i for a mesh current and I for a branch current. It’s evident from Fig. that PSUT Methods of Analysis 41 ????????????????????????2121323331VViiRRRRRR2132211 , , iiIiIiI ?????Find the branch current I1, I2, and I3 using mesh analysis. PSUT Methods of Analysis 42 ?For mesh 1, ?For mesh 2, ?We can find i1 and i2 by substitution method or Cramer’s rule. Then, PSUT Methods of Analysis 43 123010)(1051521211????????iiiii12010)(1046211222???????iiiiii2132211 , , iiIiIiI ?????Use mesh analysis to find the current I0 in the circuit. PSUT Methods of Analysis 44 ?Apply KVL to each mesh. For mesh 1, ?For mesh 2, PSUT Methods of Analysis 45 1265110)(12)(10243213121?????????iiiiiii021950)(10)(42432112322?????????iiiiiiii?For mesh 3, ?In matrix from bee we can calculus i1, i2 and i3 by Cramer’s rule, and find I0. PSUT Methods of Analysis 46 020)(4)(12)(4, A, n o d eA t 0)(4)(12432123132121023130?????????????????iiiiiiiiiiIIiiiiI???????????????????????????????001221121956511321iii Mesh Analysis with Current Sources PSUT Methods of Analysis 47 A circuit with a current source. ?Case 1 ● Current source exist only in one mesh ● One mesh variable is reduced ?Case 2 ● Current source exists between two meshes, a supermesh is obtained. PSUT Methods of Analysis 48 A21 ??i?a supermesh results when two meshes have a (dependent , independent) current source in mon. PSUT Methods of Analysis 49 Properties of a Supermesh 1. The current is not pletely ignored ● provides the constraint equation necessary to solve for the mesh current. 2. A supermesh has no current of its own. 3. Several current sources in adjacency form a bigger supermesh. PSUT Methods of Analysis 50 ?For the circuit below, find i1 to i4 using mesh analysis. PSUT Methods of Analysis 51 ? If a supermesh consists of two meshes, two equations are needed。 express currents in terms of node voltages. 4. Solve the resulting system of linear equations for the nodal voltages. Lect4 EEE 202 7 2. Node Voltages V1, V2, and V3 are u