L4-circuit-II-2009 - Circuit Analysis Trac D. Tran ECE...

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1 Circuit Analysis Circuit Analysis Trac D. Tran ECE Department The Johns Hopkins University Baltimore, MD 21218 Outline Outline Fundamental circuit analysis Voltage divider Current divider Equivalent resistances Examples Advanced circuit analysis Thévenin equivalent circuits Norton equivalent circuits Superposition principle Examples
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2 Voltage Divider Voltage Divider + _ ) ( t i ) ( 1 t v 1 R + _ ) ( 2 t v 2 R + _ ) ( t v S 2 1 ) ( ) ( : Law s Ohm' R R t v t i S t t v R R R t v R t i t v S s ), ( ) ( ) ( ) ( : Law s Ohm' 2 1 2 2 2 Only a fraction of the voltage appears across each resistor in a series circuit Applications: voltage adaptor, transducer… Example: Position Transducer Example: Position Transducer ) ( t i 1 R + _ 2 v 2 R + _ S v A transducer is often used as an electrical sensor that produces voltage (or current) proportional to a physical quantity of interest, such as pressure, temperature, distance…  ) ( ) ( ) ( 2 1 2 2 t K R R t R v t v S some constant
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3 Current Divider Current Divider + _ S i 1 R 2 R 1 i 2 i v 2 1 2 1 2 1 1 1 1 R R R R R R R eq + _ S i eq R S i v = 2 1 2 1 R R R R i R i v S eq S S i R R R R v i 2 1 2 1 1 S i R R R R v i 2 1 1 2 2 Only applies for two resistances Applications: current-limiting devices Example: Current & Voltage Divider Example: Current & Voltage Divider + _ ? 2 i ? 3 i ? x v + _ V v S 100 60 1 R S i 30 2 R 60 3 R + _ x i x v + _ V v S 100 S i 60 1 R 20 x R 20 60 30 60 30 1 1 1 3 2 3 2 3 2 R R R R R R R x V v R R R v
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This note was uploaded on 02/02/2010 for the course ENGINEERIN 520.101 taught by Professor Tracdtran during the Winter '06 term at Johns Hopkins.

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L4-circuit-II-2009 - Circuit Analysis Trac D. Tran ECE...

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