
A thin rectangular slice of aluminium has sides of length
,
and
, as shown in the figure below.
Some of the corners of the slice are labelled. A current
of
is normal to face RSXY of the slice. In aluminium, the number of free electrons per unit volume is
. A uniform magnetic field of magnetic flux density
equal to
is normal to face QRYZ of the aluminium slice in the direction from Q to P. A Hall voltage
is developed across the slice and is given by the expression

Use the figure above to state the magnitude of the distance
.
Calculate the magnitude of the Hall voltage
.