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Explain why a longer wire has higher resistance compared to a shorter wire.
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?
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.
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?
What is the resistivity of copper and steel, and how do they compare as conductors of electricity?
If a wire is made of a material with a high resistivity, how would that affect its conductivity?
If a wire is made of a material with a high resistivity, how would that affect its conductivity?
Resistance is directly proportional to the length of a wire.
Resistance is directly proportional to the length of a wire.
Wires with larger cross-sectional areas have higher resistance because electrons have fewer paths to choose from.
Wires with larger cross-sectional areas have higher resistance because electrons have fewer paths to choose from.
Resistivity is a measure of how much electrical resistance a material has and varies for different materials.
Resistivity is a measure of how much electrical resistance a material has and varies for different materials.
The formula to calculate resistance of a material is: resistance = resistivity x area / length.
The formula to calculate resistance of a material is: resistance = resistivity x area / length.
Copper has a higher resistivity compared to steel.
Copper has a higher resistivity compared to steel.
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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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