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(a) List the factors on which the resistance of a uniform cylindrical conductor of a given material depends.

(b) The resistance of a wire of 0.01 cm radius is 10 Ω If the resistivity of the wire is 50 x 10-3 Ω m, find the length of this wire. 

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(a) Factor on which resistance of conductor depends:

(1) Length of conductor

(2) Area of cross section

(3) Nature of material

(b) 

\(R = \frac{pl}A\)

\(l=\frac{RA}p\)

\(l = \frac{10\times\pi\times(0.01\times10^{-2})^2}{50\times10^{-3}}\)

\(l = \frac{0.00314\times10^{-4}}{50\times10^{-3}}\)

\(l = 6.28 \times10^{-5}\times10^{-1}\)

\(l = 6.28\times10^{-6}\,m\)

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