Factors Affecting Resistance
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Questions and Answers

Which of the following factors does not affect the resistance of a wire?

  • Temperature of the wire
  • Color of the wire's insulation (correct)
  • Shape of the wire's cross-section
  • Material the wire is made of
  • What is the unit of resistivity?

  • Ohms per square meter
  • Meter-ohms
  • Ohms per meter (correct)
  • Ohm-meters
  • How does the cross-sectional area of a wire affect its resistance?

  • The cross-sectional area affects the resistance only in copper wires
  • Decreasing the cross-sectional area increases the resistance
  • The cross-sectional area does not affect the resistance
  • Increasing the cross-sectional area decreases the resistance (correct)
  • What is the purpose of measuring the diameter of a wire multiple times?

    <p>To ensure an accurate and reliable value of resistivity</p> Signup and view all the answers

    What is the relationship between the resistance of a wire and its length?

    <p>The resistance of the wire increases with an increase in its length</p> Signup and view all the answers

    What is the formula for the resistivity of a material?

    <p>R = ρL/A</p> Signup and view all the answers

    What is the primary reason why longer wires have higher resistance?

    <p>Due to the increased difficulty for electrons to flow</p> Signup and view all the answers

    A wire with a circular cross-section has a diameter of 2mm. What is its cross-sectional area?

    <p>π(2mm)²/4</p> Signup and view all the answers

    In an experiment to measure the resistivity of a material, what is the purpose of plotting a graph of resistance against length?

    <p>To find the gradient, which is equal to ρ divided by A</p> Signup and view all the answers

    What is the advantage of using a material with low resistivity for making wires?

    <p>It decreases the difficulty for electrons to flow</p> Signup and view all the answers

    If the resistance of a wire is measured to be 5 ohms, and the cross-sectional area is 0.01m², what is the resistivity of the material?

    <p>R ÷ A</p> Signup and view all the answers

    Study Notes

    Factors Affecting Resistance

    • Resistance of a wire depends on its length, with longer wires having higher resistance due to increased difficulty for electrons to flow.
    • Thicker wires (larger cross-sectional area) have lower resistance, similar to how water flows more easily through a wide pipe.
    • The material the wire is made of also affects resistance, with copper being a good electrical conductor.
    • Resistance (R) is equal to the resistivity of the material (ρ) multiplied by the length (L) and divided by the cross-sectional area (A).

    Resistivity

    • Resistivity (ρ) is a property of the material and is equal to RA/L.
    • For a wire with a circular cross-section, the area (A) is equal to πr² (or πd²/4).

    Experimental Measurement of Resistivity

    • To find the resistivity of a material, measure the resistance of a wire and how it changes with length.
    • Measure voltage divided by current to find the resistance, and plot a graph of resistance against length to get a straight line.
    • The gradient of the line is equal to ρ divided by A, so the resistivity can be found.
    • Take multiple measurements of the diameter to ensure an accurate and reliable value.

    Factors Affecting Resistance

    • Longer wires have higher resistance due to increased difficulty for electrons to flow.
    • Thicker wires (larger cross-sectional area) have lower resistance.
    • The material's conductivity affects resistance, with copper being a good electrical conductor.
    • Resistance (R) = resistivity (ρ) × length (L) ÷ cross-sectional area (A).

    Resistivity

    • Resistivity (ρ) is a property of the material, equal to RA/L.
    • For a wire with a circular cross-section, area (A) = πr² (or πd²/4).

    Experimental Measurement of Resistivity

    • Measure resistance by finding voltage ÷ current.
    • Plot a graph of resistance against length to get a straight line.
    • The gradient of the line is equal to ρ ÷ A, allowing resistivity to be found.
    • Take multiple measurements of the diameter for an accurate and reliable value.

    Factors Affecting Resistance

    • Longer wires have higher resistance due to increased difficulty for electrons to flow.
    • Thicker wires (larger cross-sectional area) have lower resistance.
    • The material's conductivity affects resistance, with copper being a good electrical conductor.
    • Resistance (R) = resistivity (ρ) × length (L) ÷ cross-sectional area (A).

    Resistivity

    • Resistivity (ρ) is a property of the material, equal to RA/L.
    • For a wire with a circular cross-section, area (A) = πr² (or πd²/4).

    Experimental Measurement of Resistivity

    • Measure resistance by finding voltage ÷ current.
    • Plot a graph of resistance against length to get a straight line.
    • The gradient of the line is equal to ρ ÷ A, allowing resistivity to be found.
    • Take multiple measurements of the diameter for an accurate and reliable value.

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    Description

    Learn about the factors that influence the resistance of a wire, including its length, cross-sectional area, and material. Understand how these factors affect electron flow and the overall resistance of a wire.

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