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CAIE A-Level Physics 20.3 Force on a Moving Charge

Practise analysing magnetic force direction and magnitude, Hall measurements, charged-particle paths and velocity selection in electric and magnetic fields.

Syllabus
2028–2030
Course
Physics 9702
Level
A2

Exam points

  • determine force direction and calculate F=BQv sin theta for moving charges
  • analyse Hall voltage and Hall-probe measurement
  • describe charged-particle motion in a uniform magnetic field and apply velocity selection

20.3 Force on a moving charge question 1

[Maximum number: 5]

Question (a)

(a)

A uniform magnetic field is now applied in the region of the electric field in Fig. 5.1, so that the electron in (b)(iii) travels undeviated through the region.

[ 5 ]

Question (i)

(i)

Determine the direction of the uniform magnetic field.

[ 1 ]

Question (ii)

(ii)

Explain, with reference to the forces exerted by the two fields on the electron, why the path of the electron is undeviated.

[ 2 ]

Question (iii)

(iii)

Determine the flux density B of the uniform magnetic field. Give a unit with your answer.
B= unit

[ 2 ]

20.3 Force on a moving charge question 2

[Maximum number: 7]

Question (a)

(a)

A rectangular piece of aluminium foil is situated in a uniform magnetic field of flux density B, as shown in Fig. 9.1.

Fig. 9.1

Fig. 9.1

The magnetic field is normal to the face PQRS of the foil.
Electrons, each of charge -q, enter the foil at right angles to the face PQTV .

[ 4 ]

Question (i)

(i)

On Fig. 9.1, shade the face of the foil on which electrons initially accumulate.

[ 1 ]

Question (ii)

(ii)

Explain why electrons do not continuously accumulate on the face you have shaded.

[ 3 ]

Question (b)

(b)

The Hall voltage VHV_{H} developed across the foil in (b) is given by the expression

VH=BIntqV_{\mathrm{H}}=\frac{B I}{n t q}

where I is the current in the foil.

[ 2 ]

Question (i)

(i)

State the meaning of the quantity n.

[ 1 ]

Question (ii)

(ii)

Using the letters on Fig. 9.1, identify the distance t.

[ 1 ]

Question (c)

(c)

Suggest why, in practice, Hall probes are usually made using a semiconductor material rather than a metal.

[ 1 ]
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