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

Force on a moving charge — practice question

Fig. 6.1 shows a narrow sheet of semiconducting material in a Hall probe. Current $I$ flows through the slice in the direction indicated. The slice is placed in a uniform magnetic field with flux density $B$, arranged so that two of its faces are at right angles to the magnetic field. A constant Hall voltage $V_H$ is produced between face $PQXW$ and face $SRYZ$.
(a(i))[1]

Use the letters in Fig. 6.1 to pick out the faces that lie at right angles to the magnetic field.

(a(ii))[3]

Explain how the steady Hall voltage $V_H$ is formed between faces $PQXW$ and $SRYZ$.

(b(i))[3]

The size of $V_H$ is given by the equation $V_H = \frac{BI}{ntq}$. State what the symbols $n$, $t$ and $q$ mean. You may use the letters in Fig. 6.1.

(b(ii))[2]

Suggest, with reference to the equation $V_H = \frac{BI}{ntq}$, why the material slice in a Hall probe is thin.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: PQRS and WXYZ

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