Question

In the electron gun of an old TV picture tube, the electrons are accelerated by a...

In the electron gun of an old TV picture tube, the electrons are accelerated by a voltage V .
After leaving the electron gun, the electron beam travels a distance D to the screen; and
in this region there is transverse magnetic field B and no electric field. Show that the
approximate deflection d of the beam due to this magnetic field is given by
d =
D2
2
r
e
2mV
B

Science   Advanced-Physics   
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Homework Answers

Answer #1

In this question we have to find out the deflection of electron via magnetic field.

Applying conservation of energy we have,

Using, Formula for radius of the circle in which the charge will move we have

Now,

From the figure we have, the point lies on the circle so, it should follow equation of a circle.

Ignoring d^2 because it is generally very small we have,

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