**Problem 3: Calculate the resistance of wire 10 m long that has a diameter of 2 mm and resistivity 2.63 * 10**^{-2 }Ω m.

**Solution**

**Given** Length of wire, L = 10 m Diameter of cross-section = 2 mm = 2 * 10^{-3} m

Resistivity, ρ = 2.63 * 10^{-2} Ω m = 0.0263 Ω m

**Required ** Resistance of the wire, R =?

**Strategy**

Resistance is related to the length and cross-sectional area of the wire in the following equation.

Here A is the cross-sectional area of the wire. This can be calculated by the relation

Radius is half the dia. Therefore, radius of the wire = 1 * 10^{-3} m

Put values in the formula (1)

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