HELP PLEASE!!!!! a) A wire 6.10m long with diameter of 2.25mm has a resistance o

Question

HELP PLEASE!!!!!

a) A wire 6.10m long with diameter of 2.25mm has a resistance of 0.0340? . Find the resistivity of the material of the wire.______________________________

b) A ductile metal wire has resistance R. What will be the resistance of this wire in terms of R if it is stretched to two times its original length, assuming that the density and resistivity of the material do not change when the wire is stretched. (Hint: The amount of metal does not change, so stretching out the wire will affect its cross-sectional

Explanation / Answer

a) R = rho L/A

0.034 = rho*6.1/(pi*(2.25E-3/2)^2)

rho=2.22E-8

b) if L -> 2L then A->A/2

Rnew = rho (2 L)/(A/2) = 4 rho L/A = 4 R

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