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How long is a wire made with 0.00010 m2 cross-sectional area of copper if its resistance is 8.5 ohms? The resistivity of copper is 1.7 × 10^-5 Ω·m

User Rostan
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Answer:The wire made with a cross-sectional area of 0.00010 m2 and a resistance of 8.5 ohms would be approximately 5 meters long.

Explanation:To find the length of the wire, we can use the formula: Resistance = Resistivity × (Length / Cross-sectional area) We are given the resistance (8.5 ohms), the cross-sectional area (0.00010 m2), and the resistivity of copper (1.7 × 10^-5 Ω·m). Let's rearrange the formula to solve for the length: Length = (Resistance × Cross-sectional area) / Resistivity Substituting the given values: Length = (8.5 ohms × 0.00010 m2) / (1.7 × 10^-5 Ω·m) Simplifying the calculation: Length = 0.00085 m2 · 5.88235 × 10^4 m Length = 5.00000 m

User Tauta
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