A certain metal has a resistivity of 1.68 × 10^-8 Ω ∙ m.You have a long spool of wire made from this metal.If this wire has a diameter of 0.15 mm,how long should you cut a segment so its resistance will be 15 Ω? A)16 mm B)16 cm C)1.6 m D)16 m

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Quizplus · Accepted Answer

To find the length of the wire, use the formula for resistance: R = ρ(L/A), where R is resistance, ρ is resistivity, L is length, and A is cross-sectional area. First, calculate the area A = π(d/2)^2, where d = 0.15 mm = 0.00015 m. Then solve for L: L = RA/ρ. Substituting the values, L = (15 Ω)(π(0.00015 m/2)^2)/(1.68 × 10^-8 Ω ∙ m) ≈ 16 m.

A Certain Metal Has a Resistivity of 1