Understanding Resistance and Wire Length in Electrical Circuits
The relationship between electrical resistance and wire length forms a fundamental concept in physics, particularly when studying electrical conductors. When examining how resistance changes with wire length, several key factors must be carefully controlled to ensure accurate results.
In a typical experimental setup, we use a metal wire connected to a variable resistor, ammeter, and voltmeter. The wire's length is measured using a metre ruler, while maintaining constant cross-sectional area CSA and temperature throughout the investigation. The independent variable is the length of the wire, while the dependent variable is its electrical resistance, measured in ohms Ω.
Definition: Electrical resistance is the opposition that a material offers to the flow of electric current, measured in ohms Ω. The resistance of a wire increases proportionally with its length when other factors remain constant.
To maintain experimental accuracy, it's crucial to keep the current low and switch off the power supply between readings. This practice prevents the wire from heating up, which would affect its resistance and compromise the results. The relationship between resistance and length follows a direct proportional pattern, demonstrated by a straight-line graph passing through the origin.
Example: If 1 meter of wire has a resistance of 15Ω, then 2.5 meters of the same wire will have a resistance of 37.5Ω. This calculation demonstrates the direct proportional relationship between length and resistance.