A wire of length 100 cm has a resistance of 10. If its cross-sectional area is 0.005cm 2 , determine its resistivity

Correct Answer is : 0.0005ΩΩcm

Correct Answer is : 0.0005ΩΩcm

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WAEC Physics 2014 Paper

Question : 42

Total: 48

\Omega

Solution:

Concept:

Resistivity is calculated from resistance, cross-sectional area, and length using

R = \rho \frac{L}{A}

Explanation:

Rearrange the formula to find resistivity:

\rho = \frac{RA}{L}

Substitute the given values:

R = 10\ \Omega

A = 0.005\ \text{cm}^2

L = 100\ \text{cm}

\rho = \frac{10 \times 0.005}{100}

\rho = \frac{0.05}{100}

\rho = 0.0005\ \Omega\,\text{cm}

Answer:

0.0005\ \Omega\,\text{cm}

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