UK EE 211 - Circuit Laws (21 pages)

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Circuit Laws



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Circuit Laws

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Pages:
21
School:
University of Kentucky
Course:
Ee 211 - Circuits I

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Circuit Laws Ohm s Law Kirchhoff s Law Single loop circuits Single node pair circuits Kevin D Donohue University of Kentucky 1 Ohm s Law The relationship between voltage and current through a material characterized by resistance is given by Ohm s Law v t R i t Resistive elements will always absorb power i e convert electric energy to heat Kevin D Donohue University of Kentucky i t v t 2 Units for Resistance Conductance Resistance can be characterized in units of ohms 1V R 1 1A Conductance can be characterized in units of siemens 1A G 1S 1V Kevin D Donohue University of Kentucky 3 Examples Find the voltage across a 10 resistor when a current of 4 A is passing through it Find the current in a 02S resistor when a voltage drop of 10 V occurs across it Find the resistance of an element that exhibits a 14 V drop when 21 A pass through it Kevin D Donohue University of Kentucky 4 Power in a Resistive Element Power absorbed by a resistor is given by i t R p t v t i t v t v 2 t 2 p t v t v t G R R 2 i t 2 p t i t Ri t i t R G Kevin D Donohue University of Kentucky i t G v t v t 5 Open and Short Circuits If a resistance value goes to infinity no current flows through it This is referred to as an open circuit Lim i t i t v t R v t R If a resistance value goes to zero no voltage drops across it This is referred to as a short circuit Lim i t i t v t R v t R 0 Kevin D Donohue University of Kentucky 6 Examples Solve for quantities voltage power current resistance in resistive circuits with simple connections to independent and dependent sources Kevin D Donohue University of Kentucky 7 Lumped Parameter Circuit To represent the flow of electrical charge through an actual circuit a zeroresistance connector is used to connect symbols denoting electrical properties of circuit parts Kevin D Donohue University of Kentucky 8 Lumped Parameter Circuit Define and Identify Nodes Branches Loops R1 1K R2 1K R3 1K R0 1K R 1K V I Node connection between 2 or more circuit elements Branch circuit



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