A conducting wire has a 1.2 mm diameter, a 2.8 m length, and a 70 m? resistance. What is the resistivity of the material?
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R = rho*L/A
==> rho = R*A/L
= 70*10^-3*(pi*1.2^2*10^-6/4)/2.8
= 2.83*10^-8 ohm-m
Resistance of a wire in ?
R = ?L/A
? is resistivity of the material
L is length in meters
A is cross-sectional area in m
Here
r = 1.2/2 = 0.6 mm
L = 2.8 m
R = 70 mohm
R = 0.070 Ohm
Now ,
.070 = p*2.8/(3.141*.0006^2)
p = .070*(3.141*.0006^2)/2.8
p = 2.83 *10^-8 Ohm . m
the resistivity of the material is 2.83 *10^-8 Ohm . m
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