Posted by: tregor May 13, 2006
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We have a formula for Resistance of a wire
R=ÏL/A………..implies R is propotional to length.
Where Ï, L and A are resistivity, length and the area of conductor respectively.
Then
R=ÏL/Ï€r2……………. ‘ r’ is the radius of cross section
Since L and r both are the units of length……one can be expressed in terms of the other
i.e. r = nL
Then
R=ÏL/Ï€(nL)2
R=KL/L2…………..k is the constant =Ï/Ï€n2
i.e. R=K/L
ie R is inversely propotional to length…which violates the original formula…….
Any comments???