• The transformer equation is:

• Where:
  • N_s?= number of turns in the secondary coil
  • N_p?= number of turns in the primary coil
  • ε_s?= output voltage from the secondary coil (V)
  • ε_p?= 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
• For an ideal transformer, there is no electrical energy lost and it is 100% efficient
• This means the power in the primary coil equals the power in the second coil;

• Where:
  • I_p?= current in the primary coil (A)
  • I_s?= output current from the secondary coil (A)

Step 1: List the known quantities

• • Primary voltage,?ε_p?= 0.5 kV = 0.5 × 10³?V
  • Secondary voltage,?ε_s?= 100?V
  • Number of turns in the primary coil,?N_p?= 3000 turns

Step 2: Write down the transformer equation