LECTURE 2 (full)

# LECTURE 2 (full) - LECTURE 2 RESISTIVE NETWORK ANALYSIS...

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LECTURE 2. RESISTIVE NETWORK ANALYSIS MAE307 Applied Electronics © Inkyu Park, 2010 Instructor: Prof. Inkyu Park Department of Mechanical Engineering Korea Advanced Institute of Science and Technology (KAIST)

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Review of Lecture #1 MAE307 Applied Electronics © Inkyu Park, 2010
Ideal Voltage Sources - Ideal voltage source: generate a prescribed (either “fixed” or “variable”) voltage irrespective of the current flowing through it (or load). i L Ideal voltage source Non-ideal (real) voltage source R s i L MAE307 Applied Electronics © Inkyu Park, 2010 - v s (t) load - v s (t) load v L v L R L i L =V S /R L V L =V S =const R L i L =V S /(R S +R L ) V L = V S *R L /(R S +R L )

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Ideal Current Sources - Ideal current source: generate a prescribed (either “fixed” or “variable”) current irrespective of the load (or circuit) connected to it. i s (t) load i L Ideal current source Non-ideal (real) current source i s (t) load i L R s v L v L MAE307 Applied Electronics © Inkyu Park, 2010 R L i L =i S =const V L =V S =i S *R L R L i L =i S *R S /(R S +R L ) V L = i S *R S *R L /(R S +R L )
Kirchhoff’s Current Law (KCL) • No charge can be created (except for current or voltage sources) in the electrical circuit; • The sum of the currents at a node must equal zero. • In other words, sum of “incoming” currents equals that of “outgoing” currents. MAE307 Applied Electronics © Inkyu Park, 2010 N k=1 I k = 0

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Kirchhoff’s Voltage Law (KVL) • Kirchhoff’s Voltage Law (KVL) : - Net voltage around a close circuit is zero. - In other words, the sum of all voltages associated with sources equal that of load voltages. - In equation, v S = v L MAE307 Applied Electronics © Inkyu Park, 2010 N k=1 v k = 0 v 1 V 2 …. V i V i+1 V N
Applications of Resistors in Mechanical Engineering - II • Resistive Strain Gauge - Resistance of the strain gauge changes by the deformation of object. - In the tension mode, strain ε > 0 (length ↑, area ↓) Thus, resistance R ↑ - In the compression mode, strain ε < 0 (length ↓, area ↑) A L R ρ = MAE307 Applied Electronics © Inkyu Park, 2010 Thus, resistance R ↓ - Gauge factor is the ratio of the relative change in resistance to the relative change in the length (i.e. strain) ε R R L L R R GF / / / Δ = Δ Δ = ε = Δ GF R R 0

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Applications of Resistors in Mechanical Engineering - III • Force measurement by cantilever + strain gauge [Derivation] R R R R Δ + = = 0 4 1 R R R R Δ - = = 0 3 2 2 1 1 4 3 4 R R R v R R R v v v v s s a b o + - + = - = R Δ MAE307 Applied Electronics © Inkyu Park, 2010 Y wh LF 2 6 = ε kF F Y wh GFL v v s o = = 2 6 ε GF v R v s o s = = kF F Y wh L GF v Y wh LF GF v s s = = = 2 2 6 6
Outline - Motivation - Node Voltage Method - Mesh Current Method - Node & Mesh Analysis with Controlled Sources - Principle of Superposition - One-port Networks and Equivalent Circuits A. Thevenin and Norton Equivalent Circuits B. Source Transformation MAE307 Applied Electronics © Inkyu Park, 2010 C. Experimental Determination of Equivalent Circuits - Maximum Power Transfer - Nonlinear Circuit Elements

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Motivation - How to analyze the circuit ? Don’t panic… - We need to use a systematic and effective means of obtaining the minimum number of equations to solve a network problem.
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