Can the electrical resistance of a…

Physics Questions

Can the electrical resistance of a copper wire and an aluminum wire of the same length be the same? Justify your answer.

Short Answer

Electrical resistance measures how much a material hinders electric current, influenced by atomic structure and free electrons. Copper has lower resistance than aluminum due to more free electrons, making it a better conductor, and resistance can be calculated with the formula R = ρL/A, depending on material properties and dimensions.

Step-by-Step Solution

Step 1: Understand Electrical Resistance

Electrical resistance is a measure of how much a material opposes the flow of electric current. Different materials exhibit different levels of resistance, primarily due to their atomic structure and the availability of free electrons. The more free electrons a material has, the lower its resistance will be, making it a better conductor of electricity.

Step 2: Compare Copper and Aluminum

Copper and aluminum are two commonly used conductive materials, but they have distinct differences in their resistance properties. Copper has a higher number of free electrons compared to aluminum, resulting in lower resistance. This means that copper allows electricity to flow more easily than aluminum, making it a preferred choice in many electrical applications.

Step 3: Factor in Resistance Calculation

The resistance of a material can be calculated using the formula R = ρL/A, where:

  • R = resistance
  • œÅ = resistivity of the material
  • L = length of the conductor
  • A = cross-sectional area of the conductor

This formula shows that resistance depends on the material’s properties as well as its physical dimensions, allowing comparisons between different conductors based on these factors.

Related Concepts

Electrical resistance

A measure of how much a material opposes the flow of electric current, affected by its atomic structure and free electrons.

Copper

A metal with a high number of free electrons, resulting in lower resistance and better conductivity compared to other materials like aluminum.

Resistance calculation

A mathematical formula (r = όl/a) used to determine the resistance of a material based on its resistivity, length, and cross-sectional area.

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