CBSE Class 12 Physics 2013 Paper

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Question : 9
Total: 29
Write a relation between current and drift velocity of electrons in a conductor. Use this relation to explain how the resistance of a conductor changes with the rise in temperature.
Solution:  
The relation between current and drift velocity of electron is
I=neAvd
n= number density of electrons
A= cross-sectional area
e= charge of electron
I= current
vd=
eE
ml
τ

E= potential difference across the conductor
τ= Relaxation time
l= length of the conductor
I=neA×
eV
ml
τ

R=
V
I
=
ml
nAe2τ

As the temperature increases, the number of collisions increases and τ decreases and hence the resistance increases.
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