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**Unformatted text preview: **Class 9 More Circuit Analysis and Magnetic Fields Physics 106 Fall 2011 Press CTRL-L to view as a slide show. Learning Outcomes Last time we learned about: I Resitivity I How resistivity changes with temperature I Series and parallel circuits with resistors I Kirchoff’s Laws Learning Outcomes Today we will discuss: I Examples of Series-Parallel Reduction I Magnetic Fields I Series RC Circuits and Time Constants I Using Kirchhoff’s Rules Series-Parallel Reduction Problem-Solving Strategy I Combine all resistors in series I Combine all resistors in parallel I Sketch the new circuit after each step I Continue until one resistor remains I Find the voltage and currents step by step back to the beginning Equivalent Resistance- Complex Circuit Equivalent Resistance -Complex Circuit Equivalent Resistance -Complex Circuit Find all the currents, voltages, and powers Virtual Circuit Virtual Circuit You can construct your own circuits and measure voltages and currents by going to the "Resources" Tab and then look for the Resistor Network Virtual Lab. Kirchhoff’s Rules Kirchhoff’s Rules I Junction Rule I The sum of the currents entering any junction must equal the sum of the currents leaving that junction I Loop Rule I The sum of the potential differences across all the elements around any closed circuit loop must be zero Applying Kirchoff’s Rules 1.Mark each junction. 2. Label all currents - between each pair of junctions. Choose a direction - it doesn’t have to be right! Here there are 6 currents. 3. Number of junction equations: If there are N junctions, there are N- 1 junction equations. Here there are 4 junctions, so there are 3 junction equations. 4. Write the junction equations: Current in = Current out. A. I 3 + I 6 = I 1 B. I 1 = I 4 + I 2 C. I 2 = I 5 + I 6 5. Number of loop equations = Number of currents- Number of junction equations. Here: 6- 3=3, so we need 3 loops. A. I 3 + I 6 = I 1 B. I 1 = I 4 + I 2 C. I 2 = I 5 + I 6 6. At least one loop must cover every circuit element. A. I 3 + I 6 = I 1 B. I 1 = I 4 + I 2 C. I 2 = I 5 + I 6 7. Put a plus or minus on every resistor (side current goes in is +) and battery (+ is positive terminal). A. I 3 + I 6 = I 1 B. I 1 = I 4 + I 2 C. I 2 = I 5 + I 6 8. Write the loop equations. 1: + 6- 2 I 3- 1 I 1- 4 I 4 = 2:- 3 I 6 + 2 I 3- 6 + 6 I 5- 7 I 6 = 3:- 6 I 5 + 4 I 4- 5 I 2 = A. I 3 + I 6 = I 1 B. I 1 = I 4 + I 2 C. I 2 = I 5 + I 6 8. Write the loop equations....

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