The transformer which is smallest in size is and how to calculate that ? The options are 100 KVA, 50 Hz; 100 KVa, 100 Hz; 100 KVA, 25 Hz; 50KVA, 25 HZ ?



The transformer which is smallest in size and how to calculate that ? The options are
  1. 100 KVA, 50 Hz
  2. 100 KVA, 100 Hz
  3. 100 KVA, 25 Hz
  4. 50KVA, 25 HZ

Answer : 100 KVA, 100 Hz

Explanation

  • The transformer equation E = 4.44(f)(B)(N)(a)
  • Where,
    • E is the voltage in the winding either primary or secondary,
    • f is the frequency,
    • B is the flux density in the core,
    • N are the number of turns on the winding, and
    • a is the cross area of the core.
    • At higher frequencies the number of winding turns N is reduced.
  • This formula follows from the Faraday formula, E = N dθ/dt and θ = B(a).
  • This formula is switching power supplies use a much higher frequency (thousands of hertz) than 60 hertz, they use smaller transformers that don't need as much wire as transformers operating at 60 hertz.

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