4.5.6 The Transformer
Definition
A transformer is an electrical device consisting of two or more coils of wire used to transfer energy by means of a changing magnetic field.
Construction
- It has two coils of insulated wire wound around a soft iron core.
- The coil connected to the alternating voltage supply is the primary coil.
- The coil connected to the output is the secondary coil.
- The two coils are not electrically connected — they are linked magnetically through the iron core.
Working Principle
- When an alternating voltage is applied to the primary coil, an alternating current flows through it.
- This creates a changing magnetic field in the soft iron core.
- The changing magnetic flux through the core induces an alternating voltage in the secondary coil.
- This process is based on electromagnetic induction.
- The transformer does not work with direct current (D.C.), since a constant current does not change magnetic flux and therefore cannot induce e.m.f.
Types of Transformers
| Type | Condition | Effect |
|---|---|---|
| Step-up Transformer | Nₛ > Nₚ |
Vₛ > Vₚ → increases voltage, decreases current. |
| Step-down Transformer | Nₛ < Nₚ |
Vₛ < Vₚ → decreases voltage, increases current. |
Transformer Equation
Vₚ / Vₛ = Nₚ / Nₛ
- Vₚ → voltage across primary coil
- Vₛ → voltage across secondary coil
- Nₚ → number of turns on primary coil
- Nₛ → number of turns on secondary coil
Efficiency of an Ideal Transformer
For 100% efficiency: Vₚ Iₚ = Vₛ Iₛ
Hence: Iₛ / Iₚ = Vₚ / Vₛ
Input power = Output power (neglecting energy losses).
Energy Losses in Transformers
- Heating of coils due to current (minimized by using low-resistance copper wire).
- Eddy current loss in the iron core (reduced by using laminated cores).
- Magnetisation and vibration losses causing sound and heat.
Uses of Transformers
- Step-up transformers are used at power stations to raise voltage for efficient long-distance transmission.
- Step-down transformers are used at distribution points and in devices (e.g., chargers, adaptors) to lower voltage for safe use.
Advantages of High Voltage Transmission
- Reduces current in cables for the same power transfer.
- Less current → less heating → lower energy loss in cables.
- Results in higher efficiency of the power grid.
Important Notes
- A transformer does not change the frequency of the current.
- Both step-up and step-down transformers work only with alternating current.
Disadvantages of Using Transformers (Social and Environmental)
- Increased dependence on electricity and automation reduces manual job opportunities.
- Higher electricity demand leads to more fossil fuel consumption and air pollution.
- Increased risk of electrocution in domestic and industrial systems.
Example Calculation
Given: Step-up transformer, 100% efficient
Vₚ = 100 V, Vₛ = 200 V, Iₚ = 0.4 A, find Iₛ
Vₚ Iₚ = Vₛ Iₛ → Iₛ = (Vₚ × Iₚ) / Vₛ = (100 × 0.4) / 200 = 0.2 A
Exam Focus Points
- Always state that transformers work on electromagnetic induction.
- Step-up: increases voltage, decreases current. Step-down: decreases voltage, increases current.
- Use
Vₚ / Vₛ = Nₚ / NₛandVₚ Iₚ = Vₛ Iₛaccurately in calculations. - For high-efficiency transmission, link high voltage to low current and reduced heating losses.
- State energy loss minimisation methods — copper windings, laminated core, soft iron core.
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