Length Resistance D7852D
1. **Stating the problem:** We want to understand how the length of a conductor affects its electrical resistance.
2. **Formula used:** The resistance $R$ of a conductor is given by the formula:
$$ R = \rho \frac{L}{A} $$
where $\rho$ is the resistivity of the material, $L$ is the length of the conductor, and $A$ is the cross-sectional area.
3. **Important rules:**
- Resistance is directly proportional to the length $L$ of the conductor.
- Resistance is inversely proportional to the cross-sectional area $A$.
- Resistivity $\rho$ depends on the material and temperature but is constant for a given material at a fixed temperature.
4. **Experiment setup:**
- Take a conductor wire of uniform cross-sectional area.
- Measure its resistance using a multimeter or ohmmeter.
- Cut or use wires of different lengths and measure their resistances.
5. **Expected observation:**
- As the length $L$ increases, the resistance $R$ increases proportionally.
- Plotting resistance $R$ against length $L$ should give a straight line passing through the origin.
6. **Conclusion:**
- This experiment demonstrates that resistance $R$ is directly proportional to the length $L$ of the conductor, confirming the formula $R = \rho \frac{L}{A}$.