Physics 9702 · AS & A Level · Resistance and resistivity

Resistance and resistivity — practice question

(a(i))[1]

State the meaning of electric current.

(a(ii))[1]

Define what is meant by electric potential difference (p.d.).

(b)

A power supply with e.m.f. $8.7\,\text{V}$ and negligible internal resistance is linked by two identical wires to three filament lamps, as shown in Fig. 5.1. The supply delivers a current of $0.30\,\text{A}$ to the circuit. The filament lamps are identical. The $I$-$V$ characteristic for one lamp is shown in Fig. 5.2.

(b(i))[2]

Show that each connecting wire has a resistance of $2.0\,\Omega$.

(b(ii))[2]

The resistivity of the metal used for the connecting wires does not change with temperature. On Fig. 5.2, sketch the $I$-$V$ characteristic for one connecting wire.

(b(iii))[2]

Calculate the power lost in one connecting wire.

(b(iv)(1))[2]

The following data for the connecting wires are provided below: cross-sectional area $= 0.40\,\text{mm}^2$ resistivity $= 1.7 \times 10^{-8}\,\Omega\,\text{m}$ number density of free electrons $= 8.5 \times 10^{28}\,\text{m}^{-3}$ Calculate the length of one connecting wire.

(b(iv)(2))[2]

Calculate the drift speed of a free electron in the connecting wires.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Movement, or flow, of charge carriers

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