What is the transformer ratio? Please define this term.

The transformer ratio is the ratio of the number of turns in the secondary winding to the number of turns in the primary winding of a transformer. The transformer ratio is often represented by the symbol “k” and is defined as:

$$k =\frac{N_s}{N_p}$$

Where Ns is the number of turns in the secondary winding and Np is the number of turns in the primary winding.

The transformer ratio determines the voltage transformation ratio of the transformer, i.e., the ratio of the output voltage to the input voltage. For example, if the transformer ratio is 2:1, the secondary voltage will be twice the primary voltage. Similarly, if the transformer ratio is 1:2, the secondary voltage will be half the primary voltage.

The transformer ratio also determines the current transformation ratio, which is the ratio of the output current to the input current. The current transformation ratio is the inverse of the voltage transformation ratio. For example, if the voltage transformation ratio is 2:1, the current transformation ratio will be 1:2.

The transformer ratio is an important parameter in transformer design and operation, as it determines the voltage and current levels in the secondary winding, and hence the power output of the transformer. It is also used to determine the impedance transformation ratio, which is the ratio of the impedance in the secondary winding to the impedance in the primary winding.