Question

On which of the following does the resistance of an electrical conductor not depend?

• A. Length of the conductor
• B. Density of the material of conductor
• C. The cross-section of the conductor
• D. The shape of the conductor

Hint:

The resistance of a conductor depends on its length, cross-sectional area, and the material's resistivity, but not on its shape.

Answer 1

The Correct Option is D

Step 1: Formula for resistance.
The resistance \( R \) of a conductor is given by the formula: \[ R = \rho \frac{L}{A} \]
where:
- \( R \) is the resistance,
- \( \rho \) is the resistivity of the material,
- \( L \) is the length of the conductor,
- \( A \) is the cross-sectional area of the conductor.
Step 2: Analyzing the options.
- The resistance depends on the length of the conductor, as seen in the formula.
- The resistance depends on the resistivity of the material, which is related to the density of the material.
- The resistance depends on the cross-sectional area of the conductor.
- The shape of the conductor does not affect the resistance, as long as the length and cross-sectional area remain the same.
Step 3: Conclusion.
Thus, the resistance of an electrical conductor does not depend on the shape of the conductor. Therefore, the correct answer is (D).