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AP® Physics C: Electricity and Magnetism · Unit 11 · Topic 11.3

Resistance, Resistivity and Ohm's Law: Topic Checklist (Physics C: E&M 11.3)

Specific “I can…” statements for resistance, resistivity and Ohm's law in the calculus-based course, each linked to the guide section and practice question that tests it.

Work through the list without notes. If you cannot do a statement, follow its link, then come back. Guide = study guide; Practice = practice questions.

Understanding

  • I can explain what resistance measures and state its unit, 1 Ω = 1 V/A. (Guide: “What resistance measures”)
  • I can explain the difference between resistance (an object) and resistivity (a material). (Guide: “Resistivity is a property of the material”; Practice Q2)
  • I can explain why the resistivity of a metal usually rises with temperature. (Guide: “Resistivity is a property of the material”; Practice Q5)
  • I can state Ohm’s law and say what makes an element ohmic or non-ohmic. (Guide: “Ohm’s law”; Practice Q5)
  • I can explain that a resistor converts electrical energy to thermal energy, which may warm it and its surroundings. (Guide: “Resistivity is a property of the material”)

Calculation and skills

  • I can derive R = ρℓ/A from E = ρJ and ΔV = Eℓ. (Guide: “From E = ρJ to R = ρℓ/A”)
  • I can calculate the resistance of a round wire, converting the diameter to a radius in metres. (Guide: Worked example 1; Practice Q4)
  • I can find the resistance of a wire whose resistivity varies, using R = (1/A)∫ρ(x) dx. (Guide: Worked example 3; Practice Q7)
  • I can plot I against ΔV with sensible scales and units, draw a best-fit line and find R = 1/slope. (Guide: Worked example 2; Practice Q1)
  • I can plan an experiment to measure resistivity and find ρ from the slope of R against ℓ. (Practice Q6)

Reasoning

  • I can predict the factor by which R changes when a wire’s length, diameter or material changes, or when it is stretched. (Practice Q2, Q3)
  • I can decide from data whether an element is ohmic, and find R at a point on a curved graph from ΔV/I. (Guide: Figure 1; Practice Q5)
  • I can explain how a potential difference is shared along a wire whose resistivity varies, using the same current in every slice. (Guide: Worked example 3; Practice Q7)

All ticked? Move on to Topic 11.4, Electric Power, or return to the course roadmap.

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