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Electricity and Resistance Principles
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Electricity and Resistance Principles

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Questions and Answers

Explain why a longer wire has higher resistance compared to a shorter wire.

Electrons need to navigate through more positive ions in a longer wire, resulting in higher resistance.

How does the cross-sectional area of a wire affect its resistance?

Resistance is inversely proportional to the cross-sectional area of a wire; a wire with a larger diameter (more area) will have lower resistance.

Define resistivity and explain its significance in determining resistance.

Resistivity is a measure of how much electrical resistance a material has, denoted by the symbol ρ. It is constant for a specific material and is crucial in calculating resistance using the formula: Resistance = Resistivity x Length / Area.

What is the resistivity of copper and steel, and how do they compare as conductors of electricity?

<p>Copper has a resistivity of 1.7 x 10^-8 ohm meters, while steel has a resistivity of 6.9 x 10^-7 ohm meters. Copper is a much better conductor of electricity than steel.</p> Signup and view all the answers

If a wire is made of a material with a high resistivity, how would that affect its conductivity?

<p>A material with high resistivity will have low conductivity, as resistivity and conductivity are inversely related.</p> Signup and view all the answers

Resistance is directly proportional to the length of a wire.

<p>True</p> Signup and view all the answers

Wires with larger cross-sectional areas have higher resistance because electrons have fewer paths to choose from.

<p>False</p> Signup and view all the answers

Resistivity is a measure of how much electrical resistance a material has and varies for different materials.

<p>False</p> Signup and view all the answers

The formula to calculate resistance of a material is: resistance = resistivity x area / length.

<p>False</p> Signup and view all the answers

Copper has a higher resistivity compared to steel.

<p>False</p> Signup and view all the answers

Study Notes

  • Resistance in a wire is proportional to the length of the wire, meaning a longer wire will have higher resistance because electrons need to navigate through more positive ions.
  • Resistance is inversely proportional to the cross-sectional area of a wire; a wire with a larger diameter (more cross-sectional area) will have lower resistance.
  • Resistivity is a measure of how much electrical resistance a material has, denoted by the symbol ρ, and it is constant for a specific material.
  • The resistance of a material can be calculated using the formula: Resistance = Resistivity x Length / Area.
  • Copper has a resistivity of 1.7 x 10^-8 ohm meters, while steel has a resistivity of 6.9 x 10^-7 ohm meters, making copper a much better conductor of electricity than steel.

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Test your understanding of resistance in wires, including the relationship between resistance, length, cross-sectional area, resistivity, and material conductivity.

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