# Transformer Formula

In other words, transformer transforms the energy from one circuit to another. This occurs through electromagnetic induction. It is known as an efficient voltage converter, which can reduce the high voltage to low voltage and vice versa. A good-condition transformer consists of two windings, namely primary winding and secondary winding. There are two types of transformer; step up and step down transformers.

The transformer formula is given by,

$\frac{V_{p}}{V_{s}}\,&space;=\,&space;\frac{N_{p}}{N_{s}}$

Where

Vp = primary voltage,

Vs = secondary voltage,

Np = number of turns in the primary

Ns  = number of turns in the secondary.

Example 1:

The number of primary and secondary windings is 60 and 100 respectively. The secondary voltage is given by 250V, determine the primary voltage.

Solution:

Given:

Np = 60,

Ns = 100

Vs = 250V

The transformer formula is given by,

Vp / Vs = Np / Ns

Vp = Np / Ns ×Vs

= 60 / 100 x 250

= 150 V

Example 2

The number of primary and secondary windings is 100 and 350 respectively. The primary voltage is given by 200V, determine the secondary voltage.

Solution:

Given:

Np = 100,

Ns = 350 and

Vp = 200V

The transformer formula is given by,

Vp / Vs = Np / Ns

Vs = Vp×Ns / Np

Vs = 200 × 350 / 100

= 700V