Open In App

Transformer Formula with Examples

Improve
Improve
Like Article
Like
Save
Share
Report

A transformer is a device that converts energy from one circuit to another. Electromagnetic induction is responsible for this. It’s referred to as a high-efficiency voltage converter since it can convert high voltage to low voltage and vice versa. A good-condition transformer is made up of two windings: primary and secondary windings. Step up and step down transformers are the two types of transformers.

Transformer Formula

A transformer is an electrical device that allows us to sustain power when the voltage in an alternating current electrical circuit is increased or decreased. The power entering the equipment is equal to the power received at the output in the event of a perfect transformer. Real-world machinery has a modest rate of losses. It is a device that converts the alternating electrical energy of one voltage level into alternating electrical energy of another voltage level, based on the phenomenon of electromagnetic induction.

The voltage is multiplied by the current intensity to compute the power of an electric circuit. In the case of a transformer, the value of the power in the primary is the same as the power in the secondary.

Vp × Ip = Vs × Is

The transformer output voltage may be calculated using the input voltage and the number of turns on the main and secondary coils.

Vp / Vs = Np / Ns

Where,

Vp = Primary voltage

Vs= Secondary voltage

Np = number of turns in the primary

Ns  = number of turns in the secondary

Is= Input current on the secondary coil.

Ip= Input current on the primary coil.

Sample Problems

Problem 1: The number of primary and secondary windings is 80 and 120 respectively. The secondary voltage is given by 240V, determine the primary voltage.

Solution

Np = 80

Ns = 120

Vs = 240V

The transformer formula is given by,

Vp / Vs = Np / Ns

Vp = Np / Ns × Vs

= 80 / 120 x 240

Vp = 160 V

Problem 2: The number of primary and secondary windings is 60 and 100 respectively. The secondary voltage is given by 250V, determine the primary voltage.

Solution

Np = 60

Ns = 100

Vs = 250V

The transformer formula is given by,

Vp / Vs = Np / Ns

Vp = Np / Ns × Vs

= 60 / 100 x 250

Vp = 150 V

Problem 3: The number of primary and secondary windings is 100 and 350 respectively. The primary voltage is given by 200V, determine the secondary voltage.

Solution

Np = 100

Ns = 350 

Vp = 200V

The transformer formula is given by,

Vp / Vs = Np / Ns

Vs = Vp × Ns / Np

Vs = 200 × 350 / 100

Vs = 700V

Problem 4: The number of primary and secondary windings is 90 and 120 respectively. The secondary voltage is given by 310V, which determines the primary voltage.

Solution

Np = 90

Ns= 120

Vs = 310V

By using the transformer calculation formula we get,

Vp/Vs = Np/Ns

Vp = Np/Ns × VS

Vp = 90/120 x 310

Vp = 232.5 V

Problem 5: The number of primary and secondary windings is 110 and 240 respectively. The primary voltage is given by 300V, which determines the secondary voltage.

Solution

Np = 110

Ns = 240

Vp = 300V

The Transformer Formula is Given By,

Vp/Vs = Np/Ns

Vs = Ns/Np × Vp

Vs = 240/110 × 300

Vs = 654.5 V

Problem 6: The number of primary and secondary windings is 70 and 140 respectively. The secondary voltage is given by 300V, which determines the primary voltage.

Solution

Np = 90

Ns = 120

Vs = 310V

By using the transformer calculation formula we get,

Vp/Vs = Np/Ns

Vp = Np/Ns × VS

Vp = 70/140 × 300

Vp = 150 V


Last Updated : 01 Feb, 2022
Like Article
Save Article
Previous
Next
Share your thoughts in the comments
Similar Reads