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NOTES- LECTURES 2 and 3 - b The method for writing node and...

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NOTES ON LECTURES 2 & 3 1. Voltage Across a Resistor The terminal where the positive current flows into the resistor is the positive voltage terminal across the resistor, regardless of what was LABELED there as the positive terminal. 2. Voltage and Current Dividers a) For voltage divider, think of a pie. A larger portion of the pie relative to the whole corresponds to a greater amount of pie that can be consumed. Hence, a larger resistance in a series connection will have a larger voltage across it. b) For current divider, think of fluid flow through multiple channels. The channel with the larger conductance (smaller resistance) permits greater amount of flow. Hence, a larger conductance in a parallel connection will have a larger current through it. 3. Node and Mesh Equations a) Students often make mistakes in sign and re-grouping of terms when writing KCL and KVL equations. Nevertheless, these two methods should be learned well since they serve as the foundation for all circuit analysis.
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Unformatted text preview: b) The method for writing node and mesh equations by inspection provides a simple and systemic approach for circuit analysis. c) This method can be generalized to circuits with more than 2 nodes or meshes. d) It should be noted that in the resulting equations, the off-diagonal elements are symmetric, thus providing a check on the accuracy of the equations. 4. Circuits with mixed current and voltage sources a) Node Voltage Analysis - Since we expect to have all current sources, for any voltage source, designate a current source through it. Then, write an auxiliary equation to relate the voltage source to the node voltages or the other current sources. b) Mesh Current Analysis - Since we expect to have all voltage sources, for any current source, designate a voltage source across it. Then, write an auxiliary equation to relate the current source to the mesh currents or the other voltage sources....
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