Question

A copper wire of length 4.5 m and area of cross-section 1.7×10−5m 2 has a resistance of 4.5×10 −2 ohms. Calculate the resistivity of copper.

Answer 1

The resistivity of copper, given the resistance of 4.5 × 10− 2 ohms, a cross-sectional area of 1.7 × 10− 5 m2, and a length of 4.5 m, is 1.7 × 10− 8 ohm · m.

Step-by-step explanation:

The resistivity of copper can be calculated using the resistance, length (L), and the cross-sectional area (A) of the wire. The formula for resistivity (ρ) is:

ρ = R * (A / L)

Where R is the resistance, A is the cross-sectional area, and L is the length of the wire. Plugging in the values provided:

ρ = 4.5 × 10− 2 ohms * (1.7 × 10− 5 m2 / 4.5 m)

ρ = 1.7 × 10− 8 ohm · m

Therefore, the resistivity of copper is 1.7 × 10− 8 ohm · m.