Presentation on theme: "1 ECE 221 Electric Circuit Analysis I Chapter 5 Branch Currents Herbert G. Mayer, PSU Status 1/5/2015."— Presentation transcript:
1 ECE 221 Electric Circuit Analysis I Chapter 5 Branch Currents Herbert G. Mayer, PSU Status 1/5/2015
2 Syllabus Goal Goal KVL and KCL KVL and KCL Circuit for Sample Problem Circuit for Sample Problem Sample Problem: 3 Equations Sample Problem: 3 Equations Solution via Substitution Solution via Substitution Three Methods? Three Methods?
3 Goal We’ll analyze a simple circuit, named the Sample Problem With 2 constant voltage sources, 3 resistors Computing the 3 branch currents i 1, i 2, and i 3 “Doing it the hard way” using KVL and KCL, and arithmetic substitution Branch Currents can actually be measured by an Amp-meter, inserted into a conducting line We use: R1 = 100 Ω, R2 = 200 Ω, R3 = 300 Ω, and V1 = 3 V, V2 = 4 V And Passive Sign Convention See figure: Sample Problem
4 KVL and KCL Quick reminder: Kirchhoff Voltage Law (KVL): The sum of all voltages around any closed path in a circuit is = 0 V Kirchhoff Current Law (KCL): The sum of all currents at any node in a circuit is = 0 A
9 Three Methods? We’ll learn other methods for computing circuit parameters One of them using Cramer’s Rule for Matrix Operations And a third one named Mesh-Current Method Then we’ll revisit this same problem, and solve it in different ways