4.5.6

Variable Resistance

Test yourself

Wires and Resistance

The resistance of a wire depends on the wire’s length and cross-sectional area of the circular end of the wire. Resistance (in ohms) is proportional to (α) the length (in metres) divided by the cross-sectional area (in metres squared).

Illustrative background for Size of a wireIllustrative background for Size of a wire ?? "content

Size of a wire

  • Increasing the length of a wire, increases the resistance of the wire.
  • Decreasing the cross-sectional area of the wire increases its resistance.
  • So short, wide wires have less resistance than long, narrow wires.
Illustrative background for Wire thicknessIllustrative background for Wire thickness ?? "content

Wire thickness

  • The cross-sectional area (A) of a circular wire is equal to π times its radius (r) squared.
  • Therefore, doubling the thickness of a wire quadruples its cross-sectional area.

Jump to other topics

1Motion, Forces & Energy

1.1Physical Quantities & Measurement Techniques

1.2Motion

1.3Mass & Weight

1.4Density

1.5Forces: Effects of Forces

1.6Forces: Turning Effects of Forces

1.7Forces: Centre of Gravity

1.8Momentum

1.9Energy, Work, & Power: Energy

1.10Energy, Work & Power: Work

1.11Energy, Work & Power: Energy Resources

1.12Energy, Work & Power: Power

1.13Pressure

2Thermal Physics

3Waves

4Electricity & Magnetism

4.1Simple Phenomena of Magnetism

4.2Electrical Quantities: Electric Charge

4.3Electrical Quantities: Electric Current

4.4Electromotive Force & Potential Difference

4.5Electrical Quantities: Resistance

4.6Electrical Energy & Electrical Power

4.7Electric Circuits: Circuit Diagrams & Components

4.8Electric Circuits: Series & Parallel Circuits

4.9Electric Circuits: Action & Use

4.10Electrical Safety

4.11Electromagnetic Effects: Electromagnetic Induction

4.12Electromagnetic Effects: The A.C. Generator

4.13Magnetic Effect of a Current

4.14Force on a Current-Carrying Conductor

4.15Electromagnetic Effects: The D.C. Motor

4.16Electromagnetic Effects: The Transformer

5Nuclear Physics

6Space Physics

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