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Length Resistance D7852D

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