Question

How is the resistance of a wire affected by its area of cross-section?

Hint:

Thicker wires have lower resistance, allowing more current to flow.

Answer 1

The resistance (\( R \)) of a wire is given by:
\[ R = \rho \frac{L}{A} \] where: - \( \rho \) is the resistivity of the material
- \( L \) is the length of the wire
- \( A \) is the cross-sectional area of the wire
Effect:
- If the area of cross-section (\( A \)) increases, resistance decreases.
- If the area of cross-section (\( A \)) decreases, resistance increases.