Lecture_3 - Basic Circuit Analysis Ohm's law Concepts of...

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1 BME 311 Network Theory John X.J. Zhang, UT Austin 1 Basic Circuit Analysis •O hm ' s l aw • Concepts of nodes, branches, and loops • Kirchhoff's current and voltage laws • Combining resistors in series and in parallel • Principles of voltage division and current division • Wye-delta transformation BME 311 Network Theory John X.J. Zhang, UT Austin 2 Resistance R R : the physical property of resisting the flow of electric charge R is measured in ohms ( Ω ) A l R ρ = ρ
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2 BME 311 Network Theory John X.J. Zhang, UT Austin 3 Ohm’s Law Voltage v across a resistor is directly proportional to the current i flowing through the resistor – Not all resistors obey Ohm’s Law – A linear resistor obey Ohm’s Law – A nonlinear resistor does not obey Ohm’s Law Passive Sign Convention ) 1 1 ( A V i v R or iR v = Ω = = l, A, T BME 311 Network Theory John X.J. Zhang, UT Austin 4 Ohm’s Law – Mental Image
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3 BME 311 Network Theory John X.J. Zhang, UT Austin 5 Short Circuit and Open Circuit • A short circuit is a circuit element with resistance approaching zero • An open circuit is a circuit element with resistance approaching infinity Short circuit Open circuit (super-conductor, …) (insulator, …) BME 311 Network Theory John X.J. Zhang, UT Austin 6 Conductance G • The ability of an element to conduct electric current G is measured in mhos( ) or simens (S) i=Gv – Power dissipated by a resistor p=vi=i 2 R=v 2 /R P=vi=v 2 G=i 2 /G Note: -Power dissipated in a resistor is a nonlinear function of either
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Lecture_3 - Basic Circuit Analysis Ohm's law Concepts of...

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