Physics 9702 · AS & A Level · Potential difference and power

Potential difference and power — practice question

(a)[1]

What does the term volt mean?

(b)

A battery with electromotive force (e.m.f.) $7.0\,\text{V}$ and negligible internal resistance is linked in series to three components, as shown in Fig. 6.1. Resistor X has resistance of $5.2\,\Omega$. The filament wire of lamp Y has resistance of $6.0\,\Omega$. The potential difference across resistor Z is $1.4\,\text{V}$.

(b(i))[2]

Calculate the current flowing in the circuit.

(b(ii))[1]

Determine the resistance for resistor Z.

(b(iii))[3]

Calculate the percentage efficiency at which the battery delivers power to the lamp.

(b(iv))[2]

The filament wire in the lamp is made from a metal whose resistivity at its operating temperature in the circuit is $3.7 \times 10^{-7}\,\Omega\,\text{m}$. Determine, for the filament wire, the value of $\alpha$ where $\alpha = \dfrac{\text{cross-sectional area}}{\text{length}}$.

(iv)[2]

Determine, for the filament wire, the value of $\alpha$ given that $\alpha = \frac{\text{cross-sectional area}}{\text{length}}$.

Worked solution & mark scheme

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