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Lecture 7 Circuits Ch. 27

Lecture 7 Circuits Ch. 27. Cartoon -Kirchhoff's LawsTopicsDirect Current CircuitsKirchhoff's Two RulesAnalysis of Circuits ExamplesAmmeter and voltmeterRC circuitsDemosThree bulbs in a circuitPower loss in transmission linesResistivity of a pencilBlowing a fuseElmo. Transmission line demo.

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Lecture 7 Circuits Ch. 27

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    3. Lecture 7 Circuits Ch. 27 Cartoon -Kirchhoff's Laws Topics Direct Current Circuits Kirchhoff's Two Rules Analysis of Circuits Examples Ammeter and voltmeter RC circuits Demos Three bulbs in a circuit Power loss in transmission lines Resistivity of a pencil Blowing a fuse Elmo

    5. Kirchhoff's Laws The sum of the potential drops around a closed loop is zero. This follows from energy conservation and the fact that the electric field is a conservative force.

    6. Example (Single Loop Circuit) How do we apply Kirchhoff’s Rule 1? Must assume the direction of the current – assume clockwise. Choose a starting point and sum all voltages drops around the circuit using Ohm’s Law

    7. Example (Single Loop Circuit)

    9. Example with numbers

    10. Example with numbers (continued)

    11. Multiloop Circuits Kirchoff’s Rules in any loop at any junction

    12. Method of determinants for solving simultaneous equations

    14. Another example Find all the currents including directions.

    15. Rules for solving multiloop circuits Replace series resistors or batteries with their equivalent values. Choose a direction for i in each loop and label diagram. Write the junction rule equation for each junction. Apply the loop rule n times for n interior loops. Solve the equations for the unknowns. Use Cramer’s Rule if necessary. Check your results by evaluating potential differences.

    16. 3 bulb question

    17. When the bulb #2 is not burnt out:

    18. When the bulb #2 is burnt out:

    19. How does a capacitor behave in a circuit with a resistor?

    20. Discharging a capacitor through a resistor

    21. What is the charge Q at time t?

    22. What is the current?

    23. How the charge on a capacitor varies with time as it is being charged

    24. Instruments

    25. Ohmmeter

    26. Ammeter

    27. Voltmeter

    28. Chapter 27 Problem 19

    29. Chapter 27 Problem 27

    30. Chapter 27 Problem 38

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