Back to Topic 2.5 — Current and circuits
2.5.2Physics SL12 flashcards

Resistance, Ohm's law and resistivity

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Card 1 of 122.5.2
2.5.2
Question

Define resistance.

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All 12 Flashcards — Resistance, Ohm's law and resistivity

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Card 1definition

Question

Define resistance.

Answer

How hard it is to push current through a component: $R = \dfrac{V}{I}$ (voltage across it ÷ current through it). Unit: the **ohm (Ω)**.

Card 2definition

Question

State Ohm's law.

Answer

The voltage across a component equals the current through it times its resistance: $V = IR$. Given in the data booklet as R = V ÷ I.

Card 3definition

Question

What is the unit of resistance?

Answer

The **ohm (Ω)**.

Card 4concept

Question

How do you find resistance from an I–V graph?

Answer

**R = V ÷ I** at a point on the graph. For a straight line through the origin, R is the same at every point.

Card 5concept

Question

What does an ohmic component's I–V graph look like?

Answer

A **straight line through the origin** — current is proportional to voltage, so R is constant.

Card 6concept

Question

What does a non-ohmic component's I–V graph look like?

Answer

A **curve** — R = V ÷ I changes from point to point, so the resistance is not constant.

Card 7concept

Question

Why is a filament lamp non-ohmic?

Answer

As the current increases the filament gets **hotter**, and a hotter metal wire has a **higher resistance**, so the I–V graph curves over.

Card 8formula

Question

Formula for the resistance of a wire?

Answer

$R = \dfrac{\rho L}{A}$ — resistivity × length ÷ cross-sectional area. Given in the data booklet (as ρ = RA ÷ L).

Card 9definition

Question

In R = ρL/A, what does ρ represent?

Answer

The **resistivity** of the material (unit Ω m) — a property of the material itself, independent of the wire's shape.

Card 10concept

Question

Double a wire's length — what happens to R?

Answer

R **doubles** — resistance is proportional to length (R ∝ L).

Card 11concept

Question

Make a wire thicker (double its area A) — what happens to R?

Answer

R **halves** — resistance is inversely proportional to area (R ∝ 1/A).

Card 12example

Question

A resistor reads 12 V across it and 4.0 A through it. Resistance?

Answer

R = V ÷ I = 12 ÷ 4.0 = 3.0 Ω.

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