Physics 9702 · AS & A Level · Resistance and resistivity

Resistance and resistivity — practice question

A filament lamp has a rating of $30\text{ W}, 120\text{ V}$. A potential difference of $120\text{ V}$ is applied across the lamp.
(a(i))[2]

For the filament wire in the lamp, work out the current.

(a(ii))[2]

For the filament wire in the lamp, work out the number of electrons passing a point in $3.0$ hours.

(b)[2]

Show that the resistance of the filament wire is $480\,\Omega$.

(c)[3]

The filament wire has an uncoiled length of $580\text{ mm}$ and is made of metal. At the lamp’s working temperature, the metal has a resistivity of $6.1 \times 10^{-7}\,\Omega\text{ m}$. Calculate the diameter of the wire.

(d)[1]

The potential difference across the lamp is now lowered. State and explain what happens, if anything, to the resistance of the filament wire.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Appropriate use of $P = VI$

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