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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: doubt regarding value of drift speed
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pujasinghtwinkle (120)

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ncert----pg-98 gives value of drift speed as   


 


 


whereas h c verma---pg 173 gives value of drift speed as  


where t = avg  time b/w 2 successive collisions


             E = electric fd intensity


            e = charge on electron


            m= mass of one electron


 


 


 


which one is correct????


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pujasinghtwinkle (120)

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nd da worst part iz dat both de books hav given their respcetive proofs ! !

plzz help...........

what is this life so full of care ?
we have no time 2 stand & stare !!!!
--DAVIES--


laziness pays now.....
hard work L8ter....
but both pays ! !


If u can fill the unforgiving minute with sixty seconds worth of distance run;urs is da world n all dats in it----------->>>>a Russian who spend 7 yrs in siberia said dat the above lines helped sustain him




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panks_01 (168)

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v've been told dat d 1st one is correct n its explanation has been given in resnick halliday krane...


if u want d expln then temme......i'll post it

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ramyani (2899)

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In HcV, The final thing is that Vd = k E  where E is the electric field and k is a constant.

Vd = a t = eEt / m is derived as follows :

Let t1 , t2 , ...   tn  be avearge time intervals between 2 consecutive collisions suffered by a free electron. Velocities acquired by various electrons, moving with an accln   a  are :  

v1 = u1 + at1

v2 = u2 + at2

v2 = u2 + at2 

..................

vn = un + atn

Hence average velocity Vd with which an electron drifts under the electric field is given by :

Vd = ( v1 + v2 ..................vn ) / n

=  [ ( u1 + at1 ) + ( u2 + at2  ) + .......( un + atn ) ] / n

=  [ (  u1  +  u2 + ....... un  ) / n ]  +  a ( t1  + t2   + ....... + tn ) / n

= 0 + at

[ (  u1  +  u2 + ....... un  ) / n ] = 0 comes frm the fact that the velocities r random in the beginning i,e, there is no net velocity of electron in one direction.

where, t is the average time interval between 2 consecutive collisions

                                                                = ( t1  + t2   + ....... + tn ) / n   

so, Vd = at = eEt / m

 then the constant Vd = k1 E

so ultimately there is just a small difference of constant .


it is not important where u stand, but in which direction u are moving
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pujasinghtwinkle (120)

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hc verma gives.......



s = 1/2 a t *t    ( u = 0 ; as already given above by ramyani.......)



s= dist bw 2 collisons



a = acc= eE/m



t= avg time b/w collisons



s = 1/2 (eE/m)t*t



Vd= s/t



Vd= 1/2 (eE/m)t


what is this life so full of care ?
we have no time 2 stand & stare !!!!
--DAVIES--


laziness pays now.....
hard work L8ter....
but both pays ! !


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pujasinghtwinkle (120)

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nd  iz it rite 2 ques de credibility of such a reputed book as hc verma  ????????????


what is this life so full of care ?
we have no time 2 stand & stare !!!!
--DAVIES--


laziness pays now.....
hard work L8ter....
but both pays ! !


If u can fill the unforgiving minute with sixty seconds worth of distance run;urs is da world n all dats in it----------->>>>a Russian who spend 7 yrs in siberia said dat the above lines helped sustain him




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pujasinghtwinkle (120)

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@ ramyani...........

cant v put it diz way..........

Vd = avg drift speed.........

= (inital speed + final speed) /2

= (0 +eEt / m) /2

=1/2 (eE/m)t

= wot mr h c verma thinks....

what is this life so full of care ?
we have no time 2 stand & stare !!!!
--DAVIES--


laziness pays now.....
hard work L8ter....
but both pays ! !


If u can fill the unforgiving minute with sixty seconds worth of distance run;urs is da world n all dats in it----------->>>>a Russian who spend 7 yrs in siberia said dat the above lines helped sustain him




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islahul_101 (54)

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puja is right..
my teacher has been a student of hc verma and he told that the difference is that hc verma has given the explanation on the base of drift velocity theory where the average drift velocity is important!!
so both books are correct as the drift velocities they hav calculated are different!!
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pujasinghtwinkle (120)

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@ islahul_101



"both books are correct as the drift velocities they hav calculated are different!! "





ddn relly got diz....................





 


what is this life so full of care ?
we have no time 2 stand & stare !!!!
--DAVIES--


laziness pays now.....
hard work L8ter....
but both pays ! !


If u can fill the unforgiving minute with sixty seconds worth of distance run;urs is da world n all dats in it----------->>>>a Russian who spend 7 yrs in siberia said dat the above lines helped sustain him




p.s. u wont loose ur rates if u will RATE me-------------->>>>>>



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ganesha1991 (1700)

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in the proof given by u here that is

s = 1/2 a t *t ( u = 0 ; as already given above by ramyani.......)

s= dist bw 2 collisons
a = acc= eE/m
t= avg time b/w collisons
s = 1/2 (eE/m)t*t
Vd= s/t
Vd= 1/2 (eE/m)t
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ganesha1991 (1700)

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in the proof given by u here that is

s = 1/2 a t *t ( u = 0 ; as already given above by ramyani.......)

s= dist bw 2 collisons
a = acc= eE/m
t= avg time b/w collisons
s = 1/2 (eE/m)t*t
Vd= s/t
Vd= 1/2 (eE/m)t

how is v=s/t
this formula can be used only if accleration is 0
i mean the full formula is s=ut+1/2at^2
s=1/2at^2 u=0
= 1/2*eE/m*t^2

v^2=u^2+2as
u=0 and a=Ee/m s =1/2*eE/m*t^2

solving we get
again
v=eE/m
i think ncert is right
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pujasinghtwinkle (120)

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@ ganesha

bingo......

i think mr hc verma dinks differently here

ncert must b correct.....

what is this life so full of care ?
we have no time 2 stand & stare !!!!
--DAVIES--


laziness pays now.....
hard work L8ter....
but both pays ! !


If u can fill the unforgiving minute with sixty seconds worth of distance run;urs is da world n all dats in it----------->>>>a Russian who spend 7 yrs in siberia said dat the above lines helped sustain him




p.s. u wont loose ur rates if u will RATE me-------------->>>>>>



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