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Excerpt from Lab Zero - Introduction INTRODUCTION This m anual is an attem pt to integrate analys is , com puter sim ulation and experim entation. In order that you get the benefits from this approach it will be neces sary for you to do the pre-lab work (analys is and simulation) before the experim ental phas e is perform ed. Although this will "cos t" you tim e before the lab, it will s ave you tim e after the experim ent is perform ed becaus e you will know what to do and what to expect (thus minim izing confus ion and tim e consum ing rework).

Enough background m aterial is included in the early experim ents so that they are (hopefully) independent of the cours e m aterial and s equence. The background inform ation also includes an as sociation with concepts from Mechanical Engineering and Phys ics so that m echanical engineering m ajors can develop an understanding of electrical circuits by analogy and electrical engineering m ajors can develop a better unders tanding of mechanical s ys tem s .

L AB O R AT O R Y Z E R O

C O M P U T E R U S E I S M AN D AT O R Y I N T H I S L A B . T H E S O O N E R Y O U L E A R N T O U S E I T , T H E M O R E Q U I C K L Y Y O U W I L L B E A B L E T O D O H O M E W O R K A N D L A B R E P O R T S --- I T S A V E S Y O U T I M E , M I N I M IZ E S A R ITH M E TIC E R R O R S , A N D M A K E S Y O U R R E P O R TS MO R E L E G I B L E . D O TH E MA TH C A D TU TO R IA L A N D / O R T A L K T O Y O U R F R I E N D S W H O H A V E H A D E XP E R I E N C E W I T H M A T H C A D . U S E E W B , C I R C U I T M AK E R , P S P I C E O R S O M E E Q U I V AL E N T S P I C E P R O G R AM T O S I M U L AT E T H E C I R C U I T S AN D V E R I F Y T H E P E R F O R M AN C E Y O U E X P E C T .

U S E N O M I N AL V AL U E S F O R Y O U R P R E L I M I N AR Y C AL C U L AT I O N S ; U S E AC T U AL M E AS U R E D V AL U E S T O I M P R O V E AG R E E M E N T B E T W E E N T H E O R E TI C AL AN D M E AS U R E D P E R F O R M AN C E .

E X AM P L E . S u p p o s e y o u w a n t t o c a l c u l a t e t h e t h e c u r r e n t t h r o u g h R 1 a n d t h e v o l t a g e a c r o s s R 2 in F I G U R E S M I1

R1 - + 00 .00 0 A 2 .2 ko hm

1 2V R2 VB + 5 .1 ko hm 00 .00 0 V -

FI G UR E S M I1 A S IM P L E C IR C UIT ( NO M IN A L V A L U E S )

A n a l y s i s s h o w s t h a t t h e c u r r e n t t h ro u g h R 1 a n d t h e v o lt a g e a c r o s s R 2 w i ll b e

VB R2 I R 1( R 1 , R 2 ) : = V R 2( R 1 , R 2 ) : = ⋅VB R1 + R2 R1 + R2

V B w a s n o t in c l u d e d a s a n a r g u m e n t o f t h e s e f u n c t i o n s t h a t w e h a v e d e f i n e d b e c a u s e w e h a v e a s s u m e d t h a t i t w il l b e s e t t o 1 2 V o l t s a s i n d i c a t e d in t h e d i a g r a m . ( I f w e w a n t e d t o m a k e t h e c a l c u la t i o n s f o r d i f f e re n t v a lu e s o f V B w e w o u l d h a v e in c l u d e d i t in t h e a r g u m e n t li s t . )

N e x t w e d e f in e t h e n o m in a l v a lu e s f o r R 1 a n d R 2 :

R 1 N : = 2 .2 kΩ R 2 N : = 5 .1 kΩ N O T I C E T H AT W E H AV E AD D E D AN "N " T O I N D I C AT E N O M I N AL V AL U E S N O T I C E T H AT W E H AV E AD D E D E X P L AN AT I O N S O F N O T AT I O N ! I R 1 N : = IR 1 ( R 1 N , R 2 N ) N O T I C E T H AT T H I S D O E S N 'T W O R K . W H Y? ( B E C AU S E W E D I D N 'T D E F I N E V B . )

VB := 1 2 V N O T E T H AT W E I N C L U D E D U N I T S VB R2 I R 1( R 1 , R 2 ) : = V R 2( R 1 , R 2 ) : = ⋅VB R1 + R2 R1 + R2

S T AR T C L O N E ( C I T E D L AT E R )

I R 1 N : = I R 1( R 1 N , R 2 N ) V R 2 N : = V R 2( R 1 N , R 2 N )

I R 1 N = 1 .6 4 4 mA V R 2 N = 8 .3 8 4 V EN D C LO N E

Proceedings of the 2005 American Society for Engineering Education Annual Conference & Exposition Copyright c 2005, American Society for Engineering Education

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Mauritzen, D. (2005, June), An Integrated Approach To The Design Of Experiments Paper presented at 2005 Annual Conference, Portland, Oregon. 10.18260/1-2--15288