Chapter 5. Circuit Theorems

Transcription

1 Chaper 5 Crcu Theorems

2 Source Transformaons eplace a olage source and seres ressor by a curren and parallel ressor Fgure 5.-1 (a) A nondeal olage source. (b) A nondeal curren source. (c) Crcu B-conneced o he nondeal olage source. (d) Crcu B conneced o he nondeal curren source.

3 Source Transformaons Fgure 5.- slope sc sc Fgure 5.-3 sc or

4 Source Transformaons Fgure 5.-4 Theenn equalen crcu. Fgure 5.-5 Noron equalen crcu. 0 sc sc Fgure 5.-6 Source ransformaon

5 Source Transformaons Example 5.-1 Fnd,,, p p a b 1 p 0. 00A 6000 p 6 k Example a V 000p b p 3V 000 p a b a b 3V

6 Source Transformaons Example 5.-3 Fnd he relaonshp beween and k

7 Source Transformaons Exercse 5.-1 Exercse 5.- Exercse 5.-3 Exercse 5.-4

8 Superposon Superposon prncple requres ha he oal effec of seeral causes acng smulaneously s equal o he sum of he effecs of he nddual causes acng one a a me Example Express oupu as a lnear combnaon of npus KC a supernode o o o When 0 and 3 0 When 1 0 and 3 0 When 1 0 and 0 o o o

9 Superposon Example 5.3- Fnd Fgure (a) A crcu. (b) The ndependen olage source acng alone. (c) The ndependen curren source acng alone A a 3 a 7 3 a A A

10 Theenn s Theorem Fgure 5.4- (a) A crcu paroned no wo pars: crcu A and crcu B. (b) eplacng crcu A by s Théenn equalen crcu. The open-crcu olage,, he shor crcu curren,, and he Theenn ressance,, are relaed by he equaon sc sc Fgure Théenn equalen crcu noles hree parameers: (a) he open-crcu olage,, (b) he shor-crcu curren sc, and (c) he Théenn ressance,. Fgure (a) The Théenn ressance, (b) a mehod for measurng or calculang he Théenn ressance,.

11 Theenn s Theorem Example Deermne Theenn equalen crcu sc 0V sc 0. 5A 50 // Fgure 5.4-7

12 Theenn s Theorem Example 5.4- Deermne Theenn equalen crcu KV a a 96V KV KC KV 5 sc a b a a sc 10 sc 0 16 sc sc A KC KV KV 4.5 a 40a 10 b a b 5 10 b 85

13 Theenn s Theorem Example Deermne (a) when (b) requred o cause (c) requred o cause 5A 8A 48 8

14 Theenn s Theorem Fgure (a) Crcu under es wh laboraory source s and ressor. (b) Crcu wh Theenn equalen crcu replacng es crcu. Assumes 10 Measures wo ses of alues by expermens s 49V : 0.5A: 44V s 76V : A: 56V V

15 Theenn s Theorem Exercse Exercse 5.4- a a 1 a a 6V a 3A KV 1 6 a a a 3A 3sc a sc 3 3 A 6 3 sc

16 Noron s Equalen Crcu Source ransformaon of he Theenn s equalen crcu Example Fgure Noron equalen crcu. sc 1. 15A n 3

17 Noron s Equalen Crcu Example V sc A n 85

18 Noron s Equalen Crcu Example Deermne (a) when (b) requred o cause (c) requred o cause 5A 8A Exercse Mesh #1 Mesh # sc sc sc 0. 5 A

19 Maxmum Power Transfer Maxmum power aalable from a source be ransferred o an oupu, load ressor Fgure Crcu A wh load ressor. p s Fgure 5.6- Theenn equalen crcu. s, fxed Fnd he alue of ha maxmze he power dp d 0 dp d s 4 0 p max s s 4 Fgure Power acually aaned as ares n relaon o.

20 Fgure Noron s equalen crcu. Maxmum Power Transfer s p s 4 3 max s s p 0 4 s d dp

21 Maxmum Power Transfer Example Fnd for maxmum power delery Fgure Theenn equalen crcu conneced o. Theenn equalen crcu V // 30 5 Power s maxmze when s 150 pmax 5W Power a he source (150V) 150 3A 5 5 ps W pmax ps 50% Power a he orgnal source (180V) A (150 // 5) 30 p s W pmax ps 35.7%

22 Maxmum Power Transfer wh dependen sources Example 5.6- Fnd for maxmum power delery 6 ab (6 4) ab 4 3A, 1V 0 ab 6 sc ab 0 6 sc 1A 1V 1 1A sc 1 p max 4 3 W

23 Maxmum Power Transfer Exercse V p max 4 9 W

24 Maab

25 Checkng Theenn Equalen Crcu Example Fnd OC and sc OC SC when when 0 5 o a ery large alue o a ery small alue OC sc 1. 6A Fgure smulaon resuls for 0M Fgure smulaon resuls for 1m

26 Checkng Theenn Equalen Crcu Example Expermen #1 Expermen # k 1. 87V 5k 3. 00V ,000,000 5,000 5,000 5V 3, 333 ( 5) 3,333 By calculaon when 10k 10,000 ( 5) 3. 75V 10,000 3,333 Expermen #3 10k 3. 75V

27 Srangage Brdge Fnd amplfer gan, b Fgure Desgn problem nolng a Sran gauge brdge. Volage source : 50mV Nomnal ressance whou sran : 10 ange of ressance change : Oupu olage : Amplfer gan : 10V o 10V V 5 o Fgure Fgure

28 Srangage Brdge Fgure mV 1 50mV 50mV 1 50mV 50mV 50mV 10 50mV Fgure KV 100k 100k 50(0) o b o b b b snce 5 b o snce Subsung b o

29 Homework #5 Problems P5.- / P5.-8 / P5.3-8 / P / P5.4-4 / P / P5.5-3 / P5.5-9 / P5.6-1 / P5.6-8