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Date November 2016 Marks available 1 Reference code 16N.2.HL.TZ0.9
Level Higher level Paper Paper 2 Time zone Time zone 0
Command term Identify Question number 9 Adapted from N/A

Question

A beam of electrons e enters a uniform electric field between parallel conducting plates RS. RS are connected to a direct current (dc) power supply. A uniform magnetic field B is directed into the plane of the page and is perpendicular to the direction of motion of the electrons.

The magnetic field is adjusted until the electron beam is undeflected as shown.

Identify, on the diagram, the direction of the electric field between the plates.

[1]
a.

The following data are available.

Separation of the plates RS = 4.0 cm
Potential difference between the plates = 2.2 kV
Velocity of the electrons = 5.0×105 m s–1

 

Determine the strength of the magnetic field B.

[2]
b.

The velocity of the electrons is now increased. Explain the effect that this will have on the path of the electron beam.

[2]
c.

Markscheme

direction indicated downwards, perpendicular to plates

Arrows must be between plates but allow edge effects if shown. Only one arrow is required.

a.

\(E = \frac{V}{d} = 55\,000\) «Vm–1»

B = «\(\frac{{55\,000}}{{5 \times {{10}^5}}} = \)» 0.11 «T»

ECF applies from MP1 to MP2 due to math error.

Award [2] for a bald correct answer.

b.

ALTERNATIVE 1

magnetic force increases
OR
magnetic force becomes greater than electric force

 

electron beam deflects “downwards” / towards S
OR
path of beam is downwards

ALTERNATIVE 2

when v increases, the B required to maintain horizontal path decreases
«but B is constant» so path of beam is downwards

Do not apply an ecf from (a).

Award [1 max] if answer states that magnetic force decreases and therefore path is upwards.

Ignore any statement about shape of path

Do not allow “path deviates in direction of magnetic force” without qualification.

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

Core » Topic 5: Electricity and magnetism
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