How does the resistance of a conductor vary?

Question 1 / 270705eccefa3bacbc34ba4d47ea8

Question 1 of 270705eccefa3bacbc34ba4d47ea8

Question 1 of 27070

How does the resistance of a conductor vary?

🔍 Key Concepts

• Ohm’s Law and resistance in basic DC circuits • The formula for resistance of a straight wire: dependence on length (L) and cross‑sectional area (A) • How making a wire longer or thicker changes current flow

💭 Think About

• If you double the length of a wire but keep everything else the same, what happens to the difficulty for current to flow? Easier, harder, or unchanged? • If you double the thickness (cross‑sectional area) of a wire but keep length and material the same, should current find more paths or fewer paths to flow through? • Which mathematical relationship makes sense for a longer, thinner wire having more resistance than a shorter, thicker wire of the same material?

✅ Before You Answer

• Recall or derive the standard resistance formula for a uniform conductor and how it includes length (L) and area (A). • Check which choices show resistance getting bigger with more length and smaller with more area. • Eliminate any options that imply that making the wire thicker would increase its resistance, since that would give current fewer, not more, paths.

Question 1 of 27070

How does the resistance of a conductor vary?

directly as its length and inversely as its cross-sectional area

inversely as its length and directly as its cross-sectional area

directly as its length and directly as its cross-sectional area

inversely as its length and inversely as its cross-sectional area

Question 1 / 270705eccefa3bacbc34ba4d47ea8

Question 1 of 270705eccefa3bacbc34ba4d47ea8

How does the resistance of a conductor vary?

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Question 1 of 27070

How does the resistance of a conductor vary?