Kirchhoff's Laws PDF

Summary

This document explains Kirchhoff's laws, covering both current (KCL) and voltage (KVL). It includes examples and diagrams to illustrate concepts. The document is suitable for undergraduate-level electrical engineering students.

Full Transcript

Kirchhoff's Laws: Understanding Current and Voltage in Circuits Kirchhoff's Laws Kirchhoff's Current Law (KCL) Understanding Nodes Node: Point where two or more circuit elements meet Principal nodes: Points where three or more elements connect Current direction convention: Into...

Kirchhoff's Laws: Understanding Current and Voltage in Circuits Kirchhoff's Laws Kirchhoff's Current Law (KCL) Understanding Nodes Node: Point where two or more circuit elements meet Principal nodes: Points where three or more elements connect Current direction convention: Into node (+), Out of node (-) KCL Problem Example 1 KCL Problem Example 2 What is the value of I in the circuit segment shown in the figure? Kirchhoff's Voltage Law (KVL) Loop: Any closed path in a circuit Voltage rise: Battery positive terminal Understanding Loops Voltage drop: Across resistors, battery negative terminal Sign convention: clockwise direction Kirchhoff's voltage law can be summarized in this situation as: 6 V−4 V−2 V=0 6 V−(2 A×2 Ω)−(2 A×1 Ω)=0 KVL Problem Example For the circuit diagram in the figure, use Kirchhoff's voltage law to find VA​ and VB​ If R1 = 2Ω, R2 = 4Ω, R3 = 6Ω, determine the electric current that flows in the circuit below. Summary and Key Points KCL: Current entering equals current leaving KVL: Sum of voltages in loop equals zero Combined use for complex circuits 8A 2.5A Problem 1 I What is the value of I in the circuit segment 2.5A shown in the figure? 3A Problem 2 What is the value of I in the circuit segment shown in the figure? If R1 = 3Ω, R2 = 5Ω, R3 = 7Ω, determine the electric current that flows in the circuit below. V1 = 12 V V2 = 16 V

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