A long cylindrical conductor of radius a and length 
is made of a material whose resistivity depends only on the distance 
from the axis of the conductor as 
, where 
is a constant. The resistance of the conductor across the two ends will be
Text Solution
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We consider a long co-axial hollow cylinder of radius 
and thickness dr.
The cross-sectional area of considered element is 
∴ Electric resistance between ends of conductor of considered element is
The system may be assumed as a parallel combination of a number of such types of elementary resistance.
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