02-Basic Circuit Analysis Concepts

02-Basic Circuit Analysis Concepts - Basic Circuit Analysis...

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1 Basic Circuit Analysis Concepts © Fred Terry Fall Semester , 2008
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2 Circuit Terms • Branch/ Element : A single 2-terminal ideal object (wire, resistor, voltage source, etc.) – Real Circuit Devices Are Modeled Using Collections of Ideal Elements • Node: A point of connection between 2 or more branches. Note that in diagrams a node can be drawn as a zero-resistance line • Loop: Any closed path in a circuit
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3 Nodes, Branches, Loops: Two Equivalent Circuits +- 10V 2A 5 Ω 2 Ω 3 Ω a b c + - 5 Ω 2 Ω 3 Ω a b c 3 Nodes, 5 Branches Both Circuits are EXACTLY the same
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4 Basic Ideas of Network Analysis • Circuit Elements are connected at nodes to form a network • There are Element Constraints – The I-V relationship for each element (such as Ohm’s Law) • And there are Connection Constraints for each node and loop in the network – Kirchoff’s Current&Voltage Laws • Element & Connection Constraints are mathematically independent conditions which together form a set of coupled equations which describe the allowed states of the network • For a linear circuit network, there is only one allowed state. • Much of our effort for the next couple of weeks will be looking at efficient ways to specify & solve the needed equations
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5 Linear Resistor: Ohm’s Law • Example of an Element Constraint [Thomas&Rosa Terminology] • An Ideal Resistor Has A Perfectly Linear I-V Relationship Ohm’s Law • V=IR with the sign referencing shown (passive sign convention!) • Resistance Is Measured in Ohms Ω •1 Ω =1V/A I V +- R
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6 Ohm’s Law V s V I I=V/R slope=1/R Line goes through origin R>0 V s V I I=V/R slope=1/R Line goes through R<0
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7 Resistor Power •P = I V = V 2 /R =I 2 R – A Resistor with R>0 ALWAYS DISSIPATES POWER (no matter which way I flows) – All 4 Pictures Below ARE THE SAME PHYSICAL CONDITION & The Resistor is DISSIPATING 500mW 10 mA +50 V +- 5K Ω -50 V + - Ω -10 mA Ω -10 mA + - Ω
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8 Linear Sources • We will work with – Constant Voltage Sources
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This note was uploaded on 01/31/2011 for the course EECS 215 taught by Professor Phillips during the Spring '08 term at University of Michigan.

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02-Basic Circuit Analysis Concepts - Basic Circuit Analysis...

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