Physics 9702 · AS & A Level · Resistance and resistivity

Resistance and resistivity — practice question

The current $I$ against potential difference (p.d.) $V$ relationship for a semiconductor diode is shown in Fig. 5.1.
(a)[2]

Using Fig. 5.1, describe how the diode’s resistance changes between $V = -0.5\,\text{V}$ and $V = 0.8\,\text{V}$.

(b)[2]

On Fig. 5.2, sketch how current $I$ varies with p.d. $V$ for a filament lamp. No numerical values are needed.

(c(i))[1]

Calculate the resistance of the lamp when the p.d. across it is $12\,\text{V}$. The filament lamp has a power of $36\,\text{W}$ when the p.d. across it is $12\,\text{V}$.

(c(ii))[3]

After the switch is closed, the current in the lamp is $2.8\,\text{A}$. Calculate the resistance of the lamp.

(d)[1]

Explain how the two resistance values calculated in (c) provide evidence for the shape of the sketch you drew in (b).

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Very large (effectively infinite) resistance for negative voltages up to about $0.4\,\mathrm{V}$

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