Question

A wire of length 3 m and area of cross-section 1.7 × 10-6 m2 has a resistance 3 × 10-2 ohm.

a. What is the formula for resistivity of the wire and what is the unit of it

b. Calculate the resistivity of the wire
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Answer 1

Answer:

a. ρ = R $\frac{A}{L}$ , unit = Ω m

b. 1.7 x $10^{-8}$ Ω m

Explanation:

a. Resistivity (ρ) = Resistance (R) x Cross Sectional Area (A) / Length of wire (L)

   The unit of Resistivity is ohm - meter (Ω m)

b. Resistivity of wire by the above equation =

   [3 x $10^{-2}$ Ω x 1.7 x $10^{-6}$ $m^{2}$] / [3 m] = 1.7 x $10^{-8}$ Ω m