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Lecture 3 Circuit Laws, Voltage & Current Dividers

Lecture 3 Circuit Laws, Voltage & Current Dividers. The net current entering a node is zero. Alternatively, the sum of the currents entering a node equals the sum of the currents leaving a node. KIRCHHOFF’S CURRENT LAW.

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Lecture 3 Circuit Laws, Voltage & Current Dividers

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  1. Lecture 3 Circuit Laws, Voltage & Current Dividers

  2. The net current entering a node is zero. Alternatively, the sum of the currents entering a node equals the sum of the currents leaving a node. KIRCHHOFF’S CURRENT LAW

  3. The algebraic sum of the voltages equals zero for any closed path (loop) in an electrical circuit. KIRCHHOFF’S VOLTAGE LAW

  4. Using KVL, KCL, and Ohm’s Law to Solve a Circuit

  5. Chapter 2 Resistive Circuits • Solve circuits (i.e., find currents and voltages of interest) by combining resistances in series and parallel. • 2. Apply the voltage-division and current-division principles. • 3. Solve circuits by the node-voltage technique.

  6. 4. Solve circuits by the mesh-current technique. 5. Find Thévenin and Norton equivalents and apply source transformations. 6. Apply the superposition principle. 7. Draw the circuit diagram and state the principles of operation for the Wheatstone bridge.

  7. 1

  8. 1.5

  9. Begin by locating a combination of resistances that are in series or parallel. Often the place to start is farthest from the source. Redraw the circuit with the equivalent resistance for the combination found in step 1. Circuit Analysis using Series/Parallel Equivalents

  10. 3. Repeat steps 1 and 2 until the circuit is reduced as far as possible. Often (but not always) we end up with a single source and a single resistance. 4. Solve for the currents and voltages in the final equivalent circuit.

  11. Voltage Division Of the total voltage, the fraction that appears across a given resistance in a series circuit is the ratio of the given resistance to the total series resistance.

  12. Application of the Voltage-Division Principle

  13. Current Division For two resistances in parallel, the fraction of the total current flowing in a resistance is the ratio of the other resistance to the sum of the two resistances.

  14. Find i3

  15. Find i1

  16. Application of the Current-Division Principle

  17. Use the voltage division principle to find the unknown voltages

  18. Use the current division principle to find the currents

  19. Resistor Cube

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