Physics 9702 · AS & A Level · Magnetic fields due to currents

Magnetic fields due to currents — practice question

A long straight vertical wire carries a constant current. A Hall probe is located a distance $r$ from the wire centre, as shown in Fig. 5.1.
(a(i))[2]

Explain why, as the Hall probe is turned around the horizontal axis XY, the Hall voltage changes from a maximum positive value to a maximum negative value.

(a(ii))

The maximum Hall voltage $V_H$ is recorded at several different distances $r$. The values of $V_H$ and the matching values of $r$ are given in Fig. 5.2. It is suggested that $V_H$ and $r$ are linked by an equation of the form $V_H = \frac{k}{r}$, where $k$ is constant.

(a(ii)-followup-1)[2]

Without plotting a graph, use the data in Fig. 5.2 to decide whether the expression $V_H = \frac{k}{r}$ is valid.

(a(ii)-followup-2)[1]

A graph of $V_H$ against $\frac{1}{r}$ is drawn. State the graph features that indicate that the expression $V_H = \frac{k}{r}$ is valid.

(b(i))[3]

State Faraday’s law of electromagnetic induction and hence explain why the voltmeter shows a zero reading.

(b(ii))[3]

State three different methods by which an e.m.f. may be induced in the coil.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: $V_H$ varies with the angle between the probe plane and the magnetic field

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