Consider a conductor of resistance 'R', length ‘L', thickness'd' and resistivity'p'. Now this conductor
is cut into four equal parts. What will be the new resistivity of each of these parts? Why?
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Answer:
resistance=R
length=L
area of cross-section=d
resistivity=p
As it is cut into four equal parts
resistance will change
its area will change
a=d/4
resistance=pl/a
=pL/d/4
=4pL/d
=4R
Resistivity will not change as it is not dependant on area of crossection,length or resistance.
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