The maximum flux density in the core of a 300/3000 V, 50 Hz single phase transformer. If the EMF per turn is 10 V, determine primary and secondary turns, respectively.

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DFCCIL Executive Electrical 30 Sept 2021 Official Paper
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  1. 30, 300
  2. 3, 30
  3. 300, 300
  4. 15, 30

Answer (Detailed Solution Below)

Option 1 : 30, 300
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Detailed Solution

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Concept :

Transformation Ratio :

  • Transformation ratio is defined as the ratio of secondary voltage to the primary voltage.
  • It can also be defined as the ratio of the number of turns in the secondary winding to the number of turns in the primary winding.
  • It can also be related to the current flowing in the primary winding to the current flow in the secondary winding.
  • It is represented by the letter ‘K’

K = (E/ E1) = (N/ N1) = (I1 / I2)

Calculations :

Given ELV = 300 V, EHV = 3000

Emf per turn = 10 V

ELV = NLV × emf per turn

∴ NLV = ELV / emf per turn

Similarly NHV = EHV / emf per turn

NLV = 300 / 10 = 30

NHV = 3000 / 10 = 300

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