If now two thin strips of material that can be magnetized
are placed inside the coil, the strips
will become magnetized when the current is flowing
in the coil. If the two strips are placed so
that one end of each overlaps , they will have opposite
magnetic polarities and so will attract
each other, as shown in Figure. 19
These two strips can be used to form a switch in
another electrical circuit.
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Selectors in crossbar exchanges have horizontal and
vertical bars operated by electromagnetic
relay coils, so that, with a crossbar switch also,
the contacts at a particular point in a matrix
may be operated under the control of these relays.
Crossbar switches and reed relays are both used in
telephone exchanges. The basic concept
is however quite different from that of step-by-step
exchanges.
Both crossbar and reed relay switching depend on
the operation of a switching matrix, the
principle of which can be explained by considering
the circuits which are to be connected
together as being arranged at right angles to each
other in horizontal and vertical lines. These
lines represent inlets and outlets of the switch.
This idea is illustrated in Figure. 20a
The intersections between horizontal and vertical
lines are called cross points. At each cross-
point some form of switch contact is needed to complete
the connection between horizontal
and vertical lines, as shown in Figure 20b . Any
of the 4 inlets can be connected to any of the 4
outlets by closing the appropriate switch contacts.
For example ;
a) Inlet 1 can
be connected to outlet 2 by closing
contact B.
b) Inlet 4 can
be connected to outlet 3 by closing
contact R.
Considering Figure 20a and 20b again, it can be seen
that with 4 inlets and 4 outlets there are
16 cross points.

Obviously, the number of cross points in any matrix
switch can be calculated by multiplying
the number of inlets by the number of outlets. This
is further illustrated in Figure. 20c
If there are n inlets and m
outlets, then the number of cross point is (n x m).
a) If n is larger
than m , that is if there are more inlets than outlets, then
not all the inlets
can be connected to a different outlet. When all the outlets have been
taken, there will
be some inlets still not in use.
b) If m is larger
than n , that is there are more outlets than inlets, then,
when all inlets are
each connected to an outlet, there will be some outlets still not in use.
So, the maximum number of simultaneous connections
that can be carried by a matrix switch
is given by which ever of the number of inlets or
outlets is smaller.