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meshcurrent

# meshcurrent - practical current and(ideal and practical...

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CHAPTER 3. DC CIRCUIT ANALYSIS 52 3.5.4 Mesh Current Analysis The mesh current analysis is a dual concept to the node voltage analysis. For this method we use the mesh currents as independent variables. Then KVL is applied around each mesh in the circuit to obtain again a set of linear equations. 3.5.5 Mesh Current Analysis - General Version 1. Define each mesh current. Convention: always clockwise unless current sources are present or cur- rents are known otherwise. 2. Apply KVL to each mesh containing an unknown mesh current, expressing each voltage in term of one or more mesh currents. 3. Solve In a circuit with n meshes and m current sources, n - m independent equa- tions will result. The unknown mesh currents are in the n - m independent variables. Figure 3.21: Example for Mesh Current Method Figure 3.22: Example for Mesh Current Method: Mesh 1

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CHAPTER 3. DC CIRCUIT ANALYSIS 53 Figure 3.23: Example for Mesh Current Method: Mesh 2 3.5.6 Mesh Current Analysis for Dummies As long as a circuit does not contain ideal current sources but rather only
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Unformatted text preview: practical current and (ideal and practical) voltage sources as well, we can apply the “Dummy Version” of the method that is based on a circuit’s topology and allows the setup of the system of equations with considerable less e±ort. 1. Convert all practical current sources to equivalent voltage sources. 2. De²ne each mesh current. Convention: always clockwise unless current sources are present or cur-rents are known otherwise. 3. Fill resistance matrix ( R –matrix) diagonal: R i,i sum of all resistances in mesh i , counted positive 4. Fill resistance matrix ( R –matrix) o±–diagonal: R i,j = R j,i sum of all resistances in common with meshes i and j , counted negative 5. Fill voltage vector: V i Sum of all voltage sources in mesh i : Count the voltage positive if mesh current leaves the positive terminal Count the voltage negative if the mesh current leaves the negative terminal...
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meshcurrent - practical current and(ideal and practical...

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