Transformers
One of the most useful devices that rely upon the Mutual Inductance effect is the Transformer. The Transformer is capable of transforming energy from one circuit to another without a direct connection. It is comprised 2 coils of wire wrapped around an iron core. The input coil is known as the Primary and the output coil is referred to as the Secondary. Electrical energy (voltage) is supplied to the primary causing a change in magnetic field at the iron core. The magnetic core enhances the mutual inductance between the coils. This causes an electric field, which induces an output at the secondary. The transformer is an alternating current (ac) device only. See sketches below.
Top sketch is a physical representation & the bottom one is the schematic representation.
Mathematical Relationships associated with Transformers -
The input voltage to the primary and the output secondary voltage relate as follows:
Vsec = Vpri multplied by (Nsec/Npri) where:
Vsec = the secondary output voltage
Vpri = the primary input voltage
Nsec = number of turns in the secondary winding or coil
Npri = number of turns in the primary winding or coil
Example:
If Vpri =120 vac;
Nsec = 100 turns;
Npri = 10 turns;
Then Vsec = 120(100/10) = 1200 vac
Note that if in the above sketch we can consider the Secondary as a Primary and vice-versa, we get inverse results. In other words 1200 vac input will result in 120 vac output.
The input current to the primary and the output secondary current relate as follows:
Ipri = Isec (multplied by (Nsec/Npri) where:
Isec = the secondary output current
Ipri = the primary input current
Nsec = number of turns in the secondary winding or coil
Npri = number of turns in the primary winding or coil
Example:
If Isec = 1 amp
Nsec = 100 turns
Npri = 10 turns
Then Ipri = (1)(100/10) =10 amps
If you wish to acquire a better understanding of Electronics Theory, I suggest you go to the following link: Electronics
Point Of Interest: The Lionel O gauge trains use a power pack which contains a transformer of the variable type.
In general, the following vendors are recommended for any of the above electronic components:
Radio Shack (Local Store or on-line at www.radioshack.com)
Futurlec at www.futurlec.com
DeMar Electronics at www.demarelectronics.com/


