Describe the use of transformers in high-voltage transmission of electricity

4.5.6 The Transformer ⚡️

What is a Transformer?

A transformer is an electrical device that changes the voltage of an alternating current (AC) without changing its frequency. Think of it like a voltage‑changing machine that can make electricity safer and more efficient for long‑distance travel. 🚚💡

How Transformers Work – The Induction Analogy

Imagine a water pipe system. The primary coil is like a pump that creates a pressure (voltage) in the water (current). The secondary coil is another pipe that receives this pressure through a shared wall (magnetic field). If the secondary pipe is longer or shorter than the primary, the water pressure changes – just like voltage changes in a transformer.

  • Primary coil: receives input voltage \$V_p\$.
  • Secondary coil: delivers output voltage \$V_s\$.
  • Turns ratio: \$n = \dfrac{Ns}{Np}\$ where \$N\$ is the number of turns.
  • Voltage relation: \$Vs = n \times Vp\$.

Transformers in High‑Voltage Transmission ⚡️

High‑voltage transmission lines carry electricity over long distances. The key reason is that power loss in a line is \$P{\text{loss}} = I^2 R\$. By stepping up the voltage, the current \$I\$ decreases, reducing \$P{\text{loss}}\$ dramatically. This is why we see huge step‑up transformers at power plants and step‑down transformers near homes.

  1. Power plant generates electricity at ~10 kV.
  2. Step‑up transformer raises voltage to 400–500 kV.
  3. Transmission line carries the high‑voltage power.
  4. Step‑down transformer near the consumer reduces voltage to 230 V.

Example: Step‑Up vs. Step‑Down Transformer

Transformer TypeTurns Ratio \$n\$Voltage Change
Step‑Up\$n > 1\$\$Vs > Vp\$
Step‑Down\$n < 1\$\$Vs < Vp\$

Examination Tips 📚

  • Remember the key formula: \$Vs = \dfrac{Ns}{Np} \times Vp\$.
  • When given a turns ratio, calculate the output voltage or current using \$Is = \dfrac{Ip}{n}\$.
  • Explain why high voltage reduces power loss: \$P_{\text{loss}} = I^2 R\$.
  • Use the water‑pipe analogy to describe how voltage changes without changing power.
  • Always check units – volts (V), amperes (A), ohms (Ω).