EE_10_F07_Lecture 3 - UCLA ELECTRICAL ENGINEERING...

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UCLA E LECTRICAL E NGINEERING D EPARTMENT : EE 10: C IRCUIT A NALYSIS 1 L ECTURE 3 LECTURE NOTES: OCT. 8, 2007 OUTLINE REVIEW ........................................................................................................................................ 2 PROBLEM SOLVING PROCEDURES ..................................................................................... 3 USING KIRCHOFF’S CURRENT AND VOLTAGE LAWS .................................................. 3 COMPUTING POWER DISTRIBUTION IN CIRCUITS ....................................................... 4 FUNDAMENTAL RESISTOR CIRCUITS ................................................................................ 8 S ERIES R ESISTOR C IRCUITS ......................................................................................................... 8 P ARALLEL R ESISTOR C IRCUITS ................................................................................................. 10 THE VOLTAGE DIVIDER ....................................................................................................... 11 THE CURRENT DIVIDER CIRCUIT ..................................................................................... 14 EXAMPLE APPLICATION: DIGITAL TO ANALOG CONVERTER ............................... 15 B INARY -W EIGHTED R ESISTOR DAC ......................................................................................... 16 R-2R R ESISTOR L ADDER DAC .................................................................................................. 17 THE WHEATSTONE BRIDGE MEASUREMENT CIRCUIT ............................................. 18 RESISTOR CIRCUIT TRANSFORMATIONS ....................................................................... 21 EXAMPLE PROBLEM: THE BRIDGED TEE ....................................................................... 27 1
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UCLA E LECTRICAL E NGINEERING D EPARTMENT : EE 10: C IRCUIT A NALYSIS 1 L ECTURE 3 REVIEW Independent Voltage and Current Sources o Valid and Invalid Circuit Configurations Electrical Resistance o Electrical Conductance Ohm’s Law Power Dissipation in Resistors Circuit Models o Open and Short Circuit Configurations Kirchhoff’s Current Law o Definition of a Circuit Node Kirchhoff’s Voltage Law o Definition of a Closed Circuit Path o Valid and Invalid Paths 2
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UCLA E LECTRICAL E NGINEERING D EPARTMENT : EE 10: C IRCUIT A NALYSIS 1 L ECTURE 3 PROBLEM SOLVING PROCEDURES USING KIRCHOFF’S CURRENT AND VOLTAGE LAWS 1. List the information that is requested by the problem. 2. Examine the circuit to determine the approach for a solution a. Determine if a circuit simplification may be accomplished using an equivalent circuit, for example, a parallel, series, delta, or Y, circuit structure. (This is not required for problems due on January 15. This will be applicable later.) 3. Draw and Label circuit with reference current and voltage variables following passive sign convention. Draw with enough size to permit readability. This will help avoid errors due to inaccuracy. 4. Identify and label the N circuit nodes 5. List known values of circuit variables 6. List unknown variables 7. Write down number of required independent equations 8. Perform the circuit transformations if applicable. 9. Write down equations determined by Ohm’s Law: 10. Write down equations determined by Kirchhoff’s Current Law 11. List these in an orderly fashion with equations labeled by the nodes 12. Select N-1 Node equations from Kirchhoff’s Current Law 13. Produce additional equations using Kirchhoff’s Voltage Law 14. Identify paths and draw paths on your circuit. a. Write down equations determined by Kirchhoff’s Voltage Law 15. Solve this set of equations for the unknown values 16. You may check your results for consistency by several methods: a. Check to determine that derived currents are consistent with Kirchhoff’s Current Law b. Check to determine that derived voltages are consistent with Kirchhoff’s Voltage Law c. By showing that all power values (computed as absorbed power) all sum to zero (please refer to the Tutorial on Computing Power Distribution in Circuits).
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