phy potentiometer

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    ACKNOWLEDGEMENT

    Id like to express my greatest gratitude to thepeople who have helped and supported me

    throughout my project. I am grateful to Mrs. SusanJohn for her wonderful support for doing this

    project, from the initial advice and theencouragement to this day. his project is thecom!ined e"ort of our group, so I would like to

    thank my group mem!ers for helping methroughout this project.

    I furthermore thank my principal Mr. #avi homas

    for providing me this project, my parents, for theirundivided support and interest which inspired meand encouraged me to go my own way, without

    which I wouldnt !e a!le to complete this project. $last !ut not the least, Id like to thank my friends

    who motivated me and %nally to &od, who made a

    things possi!le'

    (

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    INTRODUCTION

    )otentiometer is a device that can !e used to do

    many things like %nding the internal resistance of

    a cell or to compare e.m.fs of two cells. *ere inthis project we have found out the variation of

    internal resistance with many factors.

    )otentiometer is a very useful device in the %eld o

    physics. Its applications are of great help in many

    experiments. hrough this project we could learn a

    lot a!out such uses of potentiometer.

    +

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    )otentiometer is a device used to measure the

    internal resistance of a cell or to compare e.m.f of

    two cells and potential di"erence across a resistor

    PRINCIPLE:-

    It works on the principle that when a constantcurrent ows through a wire of uniform thickness

    and material , potential di"erence !etween its two

    points is directly proportional to the length of the

    wire !etween the two points .

    # - pl $

    / - 0 Ip $ 1 l

    2ut Ip $ is a constant

    i.e. / 3 4

    5r /-kl

    where k is constant of proportionality. It is called

    the potential gradient along the potentiometer

    wire and measured in /m6(.

    7

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    WHEATSTONES BRIDGE PRINCIPLE

    8our resistors ), 9, # and S are connected so as toform a :uadrilateral ;!ridge< with a &alvanometer

    in the middle. If the resistors are connected such

    that the ratio of ) and 9 e:uals ratio of # and S,

    then no current passes through the galvanometer

    his condition is known as 2alanced =ondition ofthe >heatstones 2ridge.

    $t 2alanced =ondition, )9 - #S .

    ?

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    CONSTRUCTION:-

    $ potentiometer consists a long wire of uniform

    cross sectional area , usually ? to (@ m long , of

    material having high resistivity and low

    temperature coeAcient such as constantan or

    manganin. hese wires are stretched parallel to

    each other on a !road wooden !oard !y the side

    at a metre scale. $ !attery of constant e.m.f. is

    connected to the two ends. $ jockey with a

    sensitive &alvanometer is made to slide on the

    wire.

    WORKING:-

    $ fully charged 2attery eliminator having aconstant and high e.m.f. is connected !etween

    terminals ) and 9 through an ammeter and

    #heostat . his provides an adjusta!le potential

    gradient along the potentiometer wire. )ositive

    terminal of the !attery is connected to terminal ).)ositive terminals of other cell or cells are also

    connected to same terminal ).

    $dvantages of potentiometerB6

    C

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    Dasy to use

    4ow cost

    *igh amplitude output

    Dasily availa!le

    $pplications of a potentiometerB6 4inear displacement measure

    #otary encoders

    /olume control

    Compariso o! ".m.!.s o! #$o %"&&s

    >ith the help of a voltmeter we can measure onlythe terminal potential di"erence of a cell, !ut using

    potentiometer we can determine the value of e.m.f.

    of a given cell. he e.m.f. of the auxiliary !attery is

    constant and more than that of given cell. >hen a

    key is inserted, a constant current I ows through thpotentiometer wire and a potential gradient is set

    up.

    he positive terminals of the cells D(and D+ are

    connected to the Eero end terminal of the

    potentiometer, whereas the negative terminals areconnected through a two way key to a galvanometer

    $ resistance !ox and a jockey.>hen the cell D( is in

    circuit, on sliding the jockey gently along the

    potentiometer wire a point J, say l(distance from the

    F

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    Eero end, is o!tained where the galvanometer shows

    Eero deection. In such case the negative terminal o

    the cell D(and the point J on the wire are at same

    potential. *ence, fall of potential along the length l(

    of the potentiometer wire is e:ual to the e.m.f. of thecell D(as no current is drawn from the cell. $s the fa

    of the potential along a wire of uniform area of cross

    section is proportional to its lengthG

    D(3 l(

    D( - k l( ''''''''''''..;(here k is the potential gradient along the

    potentiometer wire.

    Similarly, a point at a distance l+from Eero end of thwire can !e o!tained with the cell D+ , where the

    galvanometer shows Eero deection, so that again

    D+-k l+ ''''''''''''..;+