Question

Transformers - E.M.F. Equation of a Transformer

Answer 1

The Electromagnetic Force (E.M.F.) equation of a transformer is an expression that relates the induced voltage in the secondary winding of a transformer to the primary voltage and the turns ratio between the primary and secondary windings. Transformers are devices used to transfer electrical energy between two or more circuits through electromagnetic induction.

The EMF equation of a transformer can be written as:





=




E
p
    ​

E
s
    ​

    ​

=
N
p
    ​

N
s
    ​

    ​


Where:



E
s
    ​

 is the voltage induced in the secondary winding,


E
p
    ​

 is the voltage applied to the primary winding,


N
s
    ​

 is the number of turns in the secondary winding, and


N
p
    ​

 is the number of turns in the primary winding.

This equation represents the ratio of voltages in the secondary and primary windings, which is equal to the ratio of the number of turns in the secondary and primary windings. In an ideal transformer (one with no losses), this equation holds true, and the power is conserved according to the principle of energy conservation.

It's important to note that this equation assumes ideal conditions, such as no losses due to resistance, leakage flux, or other factors. In real-world transformers, there are losses and non-ideal behavior that need to be taken into account for accurate analysis and design.