Number 10 copper wire (radius = 1.7 mm)is commonly used for electrical installations in homes.What is the voltage drop in 41 m of #10 copper wire if it carries a current of 9 A? (The resistivity of copper is 1.7 × 10−⁸ Ω⋅m. ) A) 0.7 V B) 0.8 V C) 3.7 V D) 0.5 V E) 0.4 V

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Quizplus · Accepted Answer

The voltage drop (V) can be calculated using V = I * R, where R is the resistance. The resistance R = ρ * (L/A), where ρ is resistivity, L is length, and A is the cross-sectional area (πr²). Substituting the values, R = (1.7 × 10⁻⁸ Ω⋅m) * (41 m / π(0.0017 m)²) ≈ 0.0778 Ω. Thus, V = 9 A * 0.0778 Ω ≈ 0.7 V.

Number 10 Copper Wire (Radius = 1