Analyse quantitatively the operation of ideal transformers
- By using Faraday’s Law of induction, It can be shown that the rate of change of flux due to an alternating input current is :
- where Vp is input voltage
- Np is the number of winding in the primary coil
- By using Faraday’s Law of induction, It can be shown that the voltage developed in the secondary coil due to changing flux experience is :
- In an ideal transformer, changing flux that is experienced by the secondary coil is the same changing flux due to the primary coil.
- These are the equations of transformers.
- If Ns is greater than Np, then it is known as Step-Up transformer
- If Ns is smaller than Np, it is known as Step-Down Transformer.
Energy conservation in an Ideal Transformer
- Energy is transferred from the primary coil to the secondary coil.
- In an ideal transformer, there is no loss during this transfer of energy.
- If there is no loss , then power in the secondary and primary coil are same.
- Equation of power : P = VI
- Thus, VpIp = VsIs
- This allows us to understand how low voltage in input coil can give higher voltage on output coil in Step-Up Transformer
Extract from Physics Stage 6 Syllabus © 2017 NSW Education Standards Authority (NESA)