Transformers

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A transformer is a device that changes the voltage of an alternating current (AC) supply using electromagnetic induction. Transformers work only with AC and are commonly used to increase or decrease voltages in power distribution.

Basic Structure of a Transformer

How a Transformer Works

When alternating current flows through the primary coil, it produces a changing magnetic field in the core. This changing magnetic field induces an alternating voltage in the secondary coil through electromagnetic induction.

Types of Transformers

Transformer Equation

The ratio of the number of turns in each coil determines how the voltage changes:

\[ \frac{V_s}{V_p} = \frac{N_s}{N_p} \]

Where:

Power and Efficiency

If the transformer is ideal (no energy losses), the power input equals the power output:

\[ V_p I_p = V_s I_s \]

Real transformers have energy losses due to heating, magnetic leakage, and eddy currents, so efficiency is usually less than 100%.

A transformer has 400 turns in the primary coil and 100 turns in the secondary coil. The input voltage is 240 V.

What is the output voltage?

\[ \frac{V_s}{240} = \frac{100}{400} \Rightarrow V_s = \frac{100}{400} \times 240 = 60 \, \text{V} \]

Answer: The output voltage is 60 V.


Written by Mubarak Aouda