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Q.

Consider a copper cylinder of volume x, resistivity f, resistance across its length is r. If diameter of cylindrical conductor is 16fxπ2r1/k then find the value of k.

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answer is 4.

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Detailed Solution

Resistance R=ρla

Area  (a) =πd24

⇒R=ρl×aa×a=ρva2

R=ρVπ4d22

⇒d4=16ρVπ2R

d=16ρVπ2R1/4 

volume V is given as x resistivity f

d=(16fxπ2R)1/4

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