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MESH ANALYSIS
following steps are used to solve the circuitsby this approach.
1. Assign a distinct current to each independent loop
of the network. for ease choose clock wise directionas standard direction of current in the loops
2. Indicate the polarities within each loop for every
resistor determined by the current in the loop.
3. Apply KVL in each loop. Again move in clock wise
direction for ease. * if the resistor has more thanone current through it , the total current through it isequal to sum of the two currents if in same directionand difference of the two currents if in oppositedirection
4. The polarity of the voltage source is
independent of the current in the loop.
5. Now solve the simultaneous equations for the
assumed currents.
Comparison of branch current analysis
and mesh analysis
Branch current analysis
Mesh analysis
Assign different current toeach branch havingarbitrary direction.
Indicate the polarities foreach resistor according tocurrent through it.
Apply KVL in theindependent loops.
Apply KCl at the nodes.
Solve the resultingsimultaneous equations
Assign different current toeach independent loop havingarbitrary direction.
Indicate the polarities for eachresistor according to thecurrent in that loop where theresistor is located.
Apply KVL in the loops. Bytaking in consideration all thecurrents passing through asingle resistor.
Solve the resultingsimultaneous equations.
Supper mesh currents
If the current sources are present in the network oncan just convert it in to a voltage source if the parallelresistor is there. Also the supper mesh technique canbe applied to such networks.
Following steps are followed.1.
Assign current to each mesh i.e each independent loop. 2.
Replace the current source by an open circuit. 3.
Apply KVL to the remaining loops. 4.
Relate the mesh currents to the current of the currentsource by KCL. 5.
Solve the resulting equations.
