The Transformer Equation
- A transformer is
A device that changes high alternating voltage at low current to low alternating voltage at high current, and vice versa
- This is designed to reduce heat energy lost whilst electricity is transmitted down electrical power lines from power stations to the national grid
- A transformer is made up of:
- A primary coil
- A secondary coil
- An iron core
- The primary and secondary coils are wound around the soft iron core
- The soft iron core is necessary because it focuses and directs the magnetic field from the primary to the secondary coil
- Soft iron is used because it can easily be magnetised and demagnetised
A step-up transformer has more turns in the secondary coil than primary
- In the primary coil, an alternating current producing an alternating voltage is applied
- This creates an alternating magnetic field inside the iron core and therefore a changing magnetic flux linkage
- A changing magnetic field passes through to the secondary coil through the iron core
- This results in a changing magnetic flux linkage in the secondary coil and from Faraday's Law, an e.m.f is induced
- An e.m.f produces an alternating output voltage from the secondary coil
- The output alternating voltage is at the same frequency as the input voltage
- The transformer equation is:
- Where:
- Ns = number of turns in the secondary coil
- Np = number of turns in the primary coil
- Vs = output voltage from the secondary coil (V)
- Vp = input voltage in the primary coil (V)
- There are two types of transformers:
- Step-up transformer (increases the voltage of the power source) where Ns > Np
- Step-down transformer (decreases the voltage of the power source) where Np > Ns
- A step-up transformer is used between power stations and transmission wires
- A step-down transformer is used between the transmission wires and buildings
Worked example
A step-down transformer turns a primary voltage of 0.5 kV into a secondary voltage of 100 V.Calculate the number of turns needed in the secondary coil if the primary coil contains 3000 turns of wire.