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

Force on a moving charge — practice question

A section of conducting material has face QRLK set perpendicular to a uniform magnetic field of flux density $B$, as shown in Fig. 8.1. Electrons move into the section in a direction perpendicular to face PQKJ.
(a(i))[1]

For the free electrons moving in the slice, state the direction of the force on an electron caused by its motion in the magnetic field.

(a(ii))[1]

Using the letters on Fig. 8.1, identify the faces between which a potential difference is formed.

(b)[2]

Explain why the potential difference in (a)(ii) reaches its largest value.

(c)[2]

The density of free electrons in the material slice is $1.3 \times 10^{29}\,\text{m}^{-3}$. The slice thickness $PQ$ is $0.10\,\text{mm}$. The magnetic flux density $B$ is $4.6 \times 10^{-3}\,\text{T}$. Calculate the potential difference across the slice when the current is $6.3 \times 10^{-4}\,\text{A}$.

(d)[2]

The slice in (c) is a metal. Using your answer in (c), suggest why Hall probes are generally made from semiconductors rather than metals.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Towards the bottom

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI