Physics 9702 · AS & A Level · Resistance and resistivity

Resistance and resistivity — practice question

(a(i))[2]

In Fig. 5.1, sketch the $I$-$V$ characteristic of a filament lamp.

(a(ii))[1]

Explain how the lamp’s resistance can be calculated from its $I$-$V$ characteristic for any voltage.

(b)

First the two identical filament lamps are connected in series, and then they are connected in parallel, to a $12\ \text{V}$ power supply with negligible internal resistance. The two circuit diagrams are shown in Fig. 5.2 and Fig. 5.3 respectively.

(b(i))[3]

State and explain why the resistance of each lamp in series is different from the resistance of each lamp in parallel.

(b(ii))[3]

Each lamp has the rating ‘$12\ \text{V},\ 50\ \text{W}$’. Calculate the total resistance of the circuit when the two lamps are arranged so that each lamp uses this power.

(i)[3]

State and explain why the resistance of each lamp in series is different from the resistance of each lamp in parallel.

(ii)[3]

Each lamp has a rating of $12\text{V}, 50\text{W}$. Calculate the total resistance of the circuit for the two lamps connected so that each lamp uses this power.

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