A voltage can be developed in a coil of wire in one of the three ways:
1. By changing the flux through the coil.
2. By moving the coil through the magnetic field.
3. By altering the direction of the flux with respect to the coil.
The first one is that voltage is said to be induced emf and in
accordance with Faraday’s law, its magnitude at any instant of time is
given by the formula as shown below:
e = N(dΦ/dt) x 10 -8 volts
where N is the number turns in a coil
dΦ/dt = rate at which the flux in maxwells changes through the coil
Please take note that in this method of developing an emf, there is no
physical motion of coil or magnet; the current through the exciting coil
that is responsible for the magnetism is altered to change the flux
through the coil in which the voltage is induced. For the second and
third method mentioned above, there is actual physical motion of coil or
magnet, and in altered positions of coil or magnet flux through the
coil changes. A voltage developed on these ways is called a generated
emf and is given by the equation:
e = Blv x 10-8 volts
where B is the flux density in lines per square inch
l is the length of the wire, in., that is moved relative to the flux
v is the velocity of the wire, in.per sec., with respect to the flux
The figure above illustrates an elementary a-c generator. The single
turn coil may be moved through the magnetic field created by two magnet
poles N and S. As you can see, the ends of the coil are connected to two
collectors upon which two stationary brushes rest on it. For the
clockwise rotation as shown, the side of the coil on north pole N is
moving vertically upward to cut the maximum flux under north pole N,
while the other side of the coil on south pole S is moving vertically
downward to cut the maximum flux under south pole S. After the coil is
rotated one quarter of a revolution to the position as shown below:
the coil sides have no flux to be cut and no voltage is generated. As
the coil proceeds to rotate, the side of the coil on south pole S will
cut the maximum flux on north pole N. Then, the side of the coil
previously on north pole N will cut the maximum flux on south pole S.
With this change in the polarity that are cut by the conductors,
reversal in brush potential will occur. There are two important points
that would like to emphasize in connection with the rotation of the coil
of wire through a fixed magnetic field:
1. The voltage changes from instant to instant.
2. The electrical polarity (+) and minus (-) changes with alternating positions under north and south poles.
In actual, ac generator rotate a set of poles that is placed
concentrically within a cylindrical core containing many coils of wires.
However, a moving coil inside a pair of stationary poles applies
equally well to the rotating poles construction; in both arrangements
there is a relative motion of one element with respect to the other.