Nodal Analysis and Mesh analysis Questions and Answers PDF

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Summary

Laboratory Experiment for Nodal Analysis
Questions and Answers...

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Conclusion For our fourth experiment, the Mesh and Nodal analysis, the purpose of this experiment is to examine the effects of mesh and nodal analysis on multiple active linear sources in a network and to verify that analyzing the mesh circuit is similar when doing Kirchhoff’s Voltage Law and the nodal analysis is the same as Kirchhoff’s Current Law. Circuits that are too complex to be solved by series parallel or series-parallel can be solved using mesh and nodal analysis methods. Both methods were derived from the Kirchhoff’s Laws. The application of the techniques follows specific steps which allows to setup equations for various parameters, like the voltage and currents. Mesh analysis is only applicable for planar circuits, in a circuit where the branches don’t go over or under another branch. It is recommended to use when there are current sources in the circuit. Nodal analysis is germane when solving planar and nonplanar circuits. It is ideally the best option when there are voltage sources in the circuit. Though the approach of both methods is different, their values of the unknown variables should be equal. Nodal analysis is considered the better technique since it can be utilized in solving both planar and non planar circuits. Whenever the given circuit is planar it is advisable to use the methods that gives less number of equations.

Overall, the experiment is considered as a success since the values acquired from experimentation is agreeing from the expected result, that the answers from the mesh and nodal analysis are equal and should be equal to the results from the TinaPro simulation.

Wiring Diagram

Questions and Problems 1. What is a mesh current? A Mesh current is loop that doesn’t contain other loop and applicable for planar circuits. It is the current solved when mesh analysis is used.

2. What does a negative mesh imply? A negative mesh implies that the assumption of current direction is incorrect.

3. What technique is employed if (a) a current source appears on the periphery of only one mesh on a given mesh circuit? (b) a current source is common to two meshes of a given mesh circuit? (a) If there is a current source present on the periphery of one of the meshes, then the current of the mesh is equal to the current source. (b) If a current source is common to two meshes, then it would form supermesh. 4. How many node equations are obtained from an N number of nodes present on a given circuit? There N-1 equations present in every N number of nodes in a circuit.

5. What technique is employed if (a) a voltage source appears connected to a given node and the reference node (ground) in a given nodal circuit? (b) a voltage source is common to two given nodes of a given nodal circuit? (a) If there is a voltage source present in a given node, then the voltage source is the as the voltage in the node. (b) if a voltage source is common to two given nodes, it will form a super node.

6. What basic laws are underlying principles of Mesh analysis and Nodal analysis?

The basic laws that are used when doing the Mesh analysis and Nodal analysis are Ohm’s law and Kirchhoff’s Laws. For mesh, Kirchhoff’s Voltage Law (KVL) is used while for nodal Kirchhoff’s Current Law (KCL)....