Calculate the initial resistance of the wire. length of wire = 1.0 m, cross sectional area of wire = 2.9 × 10^-8 m2, resistivity of wire = 4.9 × 10^-7 Ω m

Physics
Calculate the initial resistance of the wire. length of wire = 1.0 m, cross sectional area of wire = 2.9 × 10^-8 m2, resistivity of wire = 4.9 × 10^-7 Ω m

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Answer

16.9 \Omega

Step 1: Recall the formula for resistance. The resistance RR of a wire is given by the formula: R=ρLAR = \frac{\rho L}{A} where ρ\rho is the resistivity, LL is the length, and AA is the cross-sectional area.

Step 2: Substitute the given values into the formula. Given: L=1.0 mL = 1.0 \text{ m} A=2.9×108m2A = 2.9 \times 10^{-8} m^2 ρ=4.9×107Ω m\rho = 4.9 \times 10^{-7} \Omega \text{ m}

R=(4.9×107Ωm)(1.0m)2.9×108m2R = \frac{(4.9 \times 10^{-7} \Omega m)(1.0 m)}{2.9 \times 10^{-8} m^2}

Step 3: Calculate the initial resistance. R=4.9×1072.9×108ΩR = \frac{4.9 \times 10^{-7}}{2.9 \times 10^{-8}} \Omega R=16.89655...ΩR = 16.89655... \Omega Rounding to three significant figures: R=16.9ΩR = 16.9 \Omega

The initial resistance of the wire is 16.9Ω\boxed{16.9 \Omega}.

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Quick Answer

Recall the formula for resistance. The resistance R of a wire is given by the formula: R = ( L)/(A) where is the resistivity, L is the length, and A is the cross-sectional area.

Calculate the initial resistance of the wire. length of wire = 1.0 m, cross sectional area of wire = 2.9 × 10^-8 m2, resistivity of wire = 4.9 × 10^-7 Ω m
Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI Answer
Step 1: Recall the formula for resistance. The resistance R of a wire is given by the formula: R = ( L)/(A) where is the resistivity, L is the length, and A is the cross-sectional area. Step 2: Substitute the given values into the formula. Given: L = 1.0 m A = 2.9 × 10^-8 m^2 = 4.9 × 10^-7 m R = (4.9 × 10^-7 m)(1.0 m)2.9 × 10^-8 m^2 Step 3: Calculate the initial resistance. R = 4.9 × 10^-72.9 × 10^-8 R = 16.89655... Rounding to three significant figures: R = 16.9 The initial resistance of the wire is 16.9 . Send me the next one 📸