Physics 9702 · AS & A Level · Force on a moving charge

Force on a moving charge — practice question

A slender rectangular piece of aluminium measures $65\,\text{mm}$ by $50\,\text{mm}$ by $0.10\,\text{mm}$, as shown in Fig. 9.1. Several corners of the piece are marked. A current $I$ of $3.8\,\text{A}$ is perpendicular to face RSXY of the piece. In aluminium, the free-electron number density is $6.0 \times 10^{28}\,\text{m}^{-3}$. A uniform magnetic field of magnetic flux density $B$ of $0.13\,\text{T}$ is perpendicular to face QRYZ of the aluminium piece, directed from Q to P. A Hall voltage $V_{H}$ appears across the piece and is described by the expression $V_{H} = \frac{BI}{ntq}$.
(a)[1]

From Fig. 9.1, state the size of the distance $t$. $t = \dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\,\text{mm}$

(b)[2]

Calculate the size of the Hall voltage $V_{H}$. $V_{H} = \dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\dots\,\text{V}$

Worked solution & mark scheme

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