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BasicConceptsSp03pp2

# BasicConceptsSp03pp2 - CIRCUITS 1 DEVELOP TOOLS FOR THE...

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CIRCUITS 1 DEVELOP TOOLS FOR THE ANALYSIS AND DESIGN OF BASIC LINEAR ELECTRIC CIRCUITS ABOUT ECE BASIC STRATEGY USED IN ANALYSIS “REAL WORLD” “MATH WORLD” THE MODELS THAT WILL BE DEVELOPED HAVE NICE MATHEMATICAL PROPERTIES. LINEAR MEANS THAT THEY SATISFY THE PRINCIPLE OF SUPERPOSITION THE MATHEMATICS CLASSES - LINEAR ALGEBRA, DIFFERENTIAL EQUATIONS- PROVIDE THE TOOLS TO SOLVE THE MATHEMATICAL MODELS FOR THE FIRST PART WE WILL BE EXPECTED TO SOLVE SYSTEMS OF ALGEBRAIC EQUATIONS 20 6 4 2 0 16 4 8 4 9 12 3 2 1 3 2 1 3 2 1 = + = + + = V V V V V V V V V LATER THE MODELS WILL BE DIFFERENTIAL EQUATIONS OF THE FORM f dt df y dt dy dt y d f y dt dy 4 3 8 4 3 2 2 + = + + = + THE CORE OF THIS CLASS

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LOW DISTORTION POWER AMPLIFIER a b 2 TERMINALS COMPONENT characterized by the current through it and the voltage difference between terminals NODE NODE ELECTRIC CIRCUIT IS AN INTERCONNECTION OF ELECTRICAL COMPONENTS + - L C 1 R 2 R S v + O v TYPICAL LINEAR CIRCUIT The concept of node is extremely important. We must learn to identify a node in any shape or form
BASIC CONCEPTS LEARNING GOALS System of Units: The SI standard system; prefixes Basic Quantities: Charge, current, voltage, power and energy: Circuit Elements: Active and Passive Passive sign convention!!! Courtesy of the National Institute of Standards and Technology. URL http://physics.nist.gov/cuu/index.html

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Courtesy of the National Institute of Standards and Technology. URL http://physics.nist.gov/cuu/index.html and related information on the constants , the modern metric system for the expression of uncertainty in measurement Courtesy of the National Institute of Standards and Technology. URL http://physics.nist.gov/cuu/index.html
SI DERIVED BASIC ELECTRICAL UNITS Courtesy of the National Institute of Standards and Technology. URL http://physics.nist.gov/cuu/index.html ONE AMPERE OF CURRENT CARRIES ONE COULOMB OF CHARGE EVERY SECOND. ELECTRON ONE OF CHARGE THE IS (e) (e) 10 6.28 COULOMB 1 18 × = s C A / = VOLT IS A MEASURE OF ENERGY PER CHARGE. TWO POINTS HAVE A VOLTAGE DIFFERENCE OF ONE VOLT IF ONE COULOMB OF CHARGE GAINS ONE JOULE OF CHARGE WHEN IT IS MOVED FROM ONE POINT TO THE OTHER. C J V = OHM IS A MEASURE OF THE RESISTANCE TO THE FLOW OF CHARGE. THERE IS ONE OHM OF RESISTENCE IF IT IS REQUIRED ONE VOLT OF ELECTROMOTIVE FORCE TO DRIVE THROUGH ONE AMPERE OF CURRENT A V = IT IS REQUIRED ONE WATT OF POWER TO DRIVE ONE AMPER OF CURRENT AGAINST AN ELECTROMOTIVE DIFFERENCE OF ONE VOLTS A V W × =

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CURRENT AND VOLTAGE RANGES We have introduced the “alphabet” for electrical engineers. Now we can start the modeling process We want to represent a circuit using a mathematical model so that by solving the model equations we can gain understanding of the operation of the circuit.
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