Q4 of 47 Page 1

When a potential difference is applied across the ends of a conductor, how is the drift velocity of the electrons related to the relaxation time?


We know that


Where,


E=electric field


l=length of the conductor



And force on an electron is given by,


where, e=charge on electron


V=electric potential


We know that


Equating the above two equations we get,




Using 1st equation of motion



where = drift velocity


Here, u=0



t=relaxation time




Since e, V, m, l are constant.



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