A copper connecting wire and a thin pencil lead (graphite) are both used in electrical circuits. Describe and explain the difference in resistance between the copper wire and the pencil lead, referring to the structure of each material and how charge carriers move through them.

Eduqas A-Level Physics — 2.1 Conduction and resistance · Describe and explain · 5 marks · View as Markdown

Written & reviewed by James Millett — Biology (Imperial College London), PGCE Science (University of Cambridge).

Copper is a metal widely used for electrical wiring. Graphite (pencil lead) is a non-metal that can also conduct electricity, but it has a noticeably higher resistance than a copper wire of the same dimensions.

Model answer (5 marks)

Copper has a lower resistance than graphite.

Copper is a metal with a crystalline lattice in which the outer‑shell electrons are delocalised and form a "sea" of free electrons that can move easily through the lattice.

Graphite is a non‑metal with a layered structure; each carbon atom is bonded to three others in a plane, leaving one “p” electron per atom that can move only within the layers.

Because copper has many more free electrons than graphite, the number of charge carriers in copper is far greater.

Fewer charge carriers in graphite mean that, for a given electric field, the current density is lower and the current is harder to drive through the material.

Additionally, electrons in graphite collide more frequently with the lattice ions and with the interlayer boundaries, giving a higher resistivity.

Thus copper’s high density of free electrons and fewer collisions give it a much lower resistance than the pencil lead.

Examiner tips

  • Use the word "free" or "delocalised" electrons for copper; "fewer free electrons" for graphite. Show the link between carrier density, collisions and resistance. Mention the layered structure of graphite to justify fewer carriers.
  • Use the phrase "higher resistivity" to explain the effect of collisions.

Common mistakes

  • Confusing graphite with a metal and saying it has the same free‑electron density. Forgetting to mention the layered structure or the reduced carrier density in graphite. Using vague terms like "more electrons" without specifying "free" or "delocalised".

Mark scheme (5 marks)

  1. Copper has a lower resistance than graphite (pencil lead)
  2. Copper contains many free (delocalised) electrons that can move through the metal
  3. In graphite, fewer free electrons are available / charge carriers are fewer in number
  4. Fewer charge carriers means current is harder to drive through graphite, so resistance is higher
  5. Electrons (charge carriers) collide with the lattice / ions / atoms as they move, and more frequent or more obstructed collisions in graphite increase its resistance

Key terms in this question

resistance · charge carriers

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