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Unformatted text preview: the current and voltage for each branch is obtained using Ohm’s law. Subsequent application of Kirchoff’s voltage law around each mesh provides the desired system of equations. Mesh 1: KVL requires that v s v1 v 2 0 where v1 i1 R1 , v 2 i1 i2 R2 R1 v1 vs i1 R3 v2 R2 i2 R4 Branch current ‐> branch voltage Steps of mesh current analysis 1. Define each mesh current consistently. Unknown mesh currents will be always defined in the clockwise direction; known mesh currents (i.e. when a current source is present) will always be defined in the direction of the current source. 2. In a circuit with n meshes and m current sources, (n‐m) independent equations will result. The unknown mesh currents are the (n‐m) independent variables. 3. Apply KVL to each mesh containing an unknown mesh current, expressing each voltage in terms of one or more mesh currents. 4. Solve the linear system of (n‐m) unknowns. 39 EE1002 Introduction to Circuits and Systems Example: To find the voltages and currents for all the resistances in the circuit. Simple case: R2 R1 Vs R3 R4 Fig. Given circuit to be solved R2 R1 Vs i1
R4 i2 R3 Fig. Identifying the mesh currents i1 R2i1 i2 R3i2 (i1 i...
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This document was uploaded on 01/20/2014.
- Winter '14