An unknown material that is supposedly good for wiring has been brought to your attention. If 100m of .01mm diameter wire has a resistivity of 5 ohms, what is its resistivity?
A = pi*r^2
r = 1/2 * 0.01*10^-3 m
R = rho *L /A
5 = rho * 100 / ( pi * 0.5 * 0.01 *10^-3 )^2
solve for rho = 1.2337*10^-11 ohm⋅metre
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