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Electrical Machines
Transformers

Practice questions from Transformers.

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Q#1 Transformers GATE EE 2025 (Set 1) MCQ +2 marks -0.66 marks

The transformer connection given in the figure is part of a balanced 3-phase circuit where the phase sequence is "". The primary to secondary turns ratio is . If , then the relationship between  and  will be

 and  lags  by .

 and  leads  by .

 and  lags  by .

 and  leads  by .

Explanation:

Given : .

Primary and secondary phase currents of same phase are drawn. parallel to each other in phasor.

 

Thus,  lags  by .

 

 

 

Option (a) is correct.

Q#2 Transformers GATE EE 2024 (Set 1) MCQ +1 mark -0.33 marks

Which one of the following options represents possible voltage polarities in a single phase two winding transformer? Here,  is the applied primary voltage,  is the induced primary voltage,  is the open circuit secondary voltage, and  is the induced secondary voltage.

Explanation:

Marks to all
Basic Principle of Transformer states that dots on both primary and secondary must have same polarity of voltage.

This condition is satisfied in Option B but in option B the dots are wrongly placed.

The correct diagram should be

But this does not match any of the given options.

Q#3 Transformers GATE EE 2023 (Set 1) NAT +2 marks -0 marks

When the winding  of the single-phase, , two winding transformer is supplied from an AC current source of frequency , the rated voltage of  (rms),  is obtained at the open-circuited terminals . The cross sectional area of the core is  and the average core length traversed by the mutual flux is . The maximum allowable flux density in the core is  and the relative permeability of the core material is 5000. The leakage impedance of the winding  and winding  at  are and , respectively. Considering the magnetizing characteristics to be linear and neglecting core loss, the self-inductance of the winding a-b in millihenry is _________ (Round off to 1 decimal place).

Explanation:

Open circuit voltage at a-b = 200V (rms)

Reluctance of flux path inside core =

Mutual inductance referred to primary =

Self inductance of primary = M + Lep

= 2.0357 + 0.16 = 2.1957

= 2195.7 mH