experiment9 superposition

8/12/2019 EXPERIMENT9 Superposition

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ASCT/EEE/LAB/BEE-09

(Superposition Theorem)

EXPERIMENT NO. - 09

AIM: To Verify Superposition Theorem

INSTRMENTS RE!IRE":

S. No. Instruments Range Quantity

1. Regulated Poer Suppl! 0-"0# $

%& Ammeter ('C) 0-A $

"& #oltmeter ('C) 0-"0# %

& Conne*ting Leads -- --

T#EOR$:

A**ording to this theorem+ i, there are a numer o, e&m&,& a*ting simultaneousl! inan! linear ilateral netor.+ then ea*h e&m&,& a*ts independentl! o, the other i&e& as i,

the other e&m&,& did not eist &The alue o, *urrent in an! *ondu*tor is the sum o, the

*urrent due to ea*h e m, similarl!+ oltage a*ross an! *ondu*tor is the algerai* sum

o, the oltages it*h ea*h e&m&,& ould hae produ*ed hile a*ting singl!& 1n other

ords+ *urrent in or oltage a*ross an! *ondu*tor o, the netor. is otained !

superposition the *urrent and oltages due to ea*h e m , in the netor.&

2en*e this theorem ma! e stated as ,ollos3-

In a network of linear resistances containing more than one generator (or source of

e.m.f. ) the current witch flows at any point is the sum of all the currents which would

flow at that point if each generator where considered separately any and all the other

generators replaced for the time being by resistances equal to their internal

resistances.

PRO%E"RE:$& E1& E2both in circuit :

'a.e *onne*tion as shon in *ir*uit diagram ith E$ 4 E%in *ir*uit&

'a.e poer on& 5ote the ammeter reading 1$&

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ASCT/EEE/LAB/BEE-09


Note: -While measuring current I1through resistance R1the value of current should be

taken as positive if it flows from to ! " negative if it flows from ! to in steps 1# $# "

%.

%& E1in circuit :

5o ma.e *onne*tion as shon ith E%omitted& 5ote *urrent 16$4 its polarit! (16$is positie i, ,los ,rom C to A 4 negatie i,

,los ,rom A to C&)

"& E2in circuit :-

'a.e *onne*tion as shon ith E$omitted&

5ote the *urrent 17$ith polarit!&

As per superposition theorem+ I&' I(&) I*&Sustitute the alue in aoe e8uation 4 eri,! the result&

& As R& I& ' R& I(&) R& I*&i&e& oltage a*ross resistan*e *an also e otained usingsuperposition theorem& ith E$4 E%in *ir*uit (,or step $)+ ma.e *onne*tion as shon

in *ir*uit diagram&

& 'easure the oltage #CAa*ross resistor R$ith E$4 E%in *ir*uit& The polarit! o, #CAshould e *onsidered as positie i, C is positie &r&t& A+ otherise #CAis to e noted

as negatie&

:& 'easure the oltage #$ a*ross R$ ith E% omitted& 5ote the reading ith proper

polarit!&

;& 'easure the oltage #%a*ross R$ith E$ omitted&


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ASCT/EEE/LAB/BEE-09


O,SERVATION TA,E:

For Current:

S. No. %urrent in Amperes/

&. I&%& I(&"& I*&

For Votage VC!:

S. No. Vot12e in Vots/

&. V%A%& V&"& V+

%A%ATION:Cal*ulate the *urrents 16$,or step % 4 17$,or step " using =hm la 4 *ompare the

alues ith osered alues&

>or Step %3 I(&? [ ];(%:$)

$

RRRRRR

&

+++++

>or Step "3 I*&? ( )[ ]:)$";(%%

RRRRRRR

&

++++++

REST:

The Theorem has een eri,ied ithin pra*ti*al limitations&

PRE%ATIONS:

$& Aoid an! loose *onne*tions&

%& @se instruments o, proper range&

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experiment9 superposition

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