Q5 of 30 Page 1

A cylindrical conductor of length ‘l’ and uniform are a of cross section 'A' has resistance 'R'. The are a of cross section of another conductor of same material and same resistance but of length '2l’ is

Parameters of cylinder A: Length = l, Area of cross-section = A, Resistance = R and resistivity = ρ

Parameters of cylinder B: Length = 2l, Area of cross-section = A’ (To be calculated); Resistance = R and resistivity = ρ


Resistance of cylinder A can be written as, (1)



Resistance of cylinder A can be written as, (2)



Dividing 1 and 2,



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