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Electrical Machines
Transformers
Equivalent Circuit - Transformer

Questions mapped to Equivalent Circuit - Transformer under Transformers.

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Q#1 Transformers GATE EE 2026 (Set 1) MCQ +1 mark -0.33 marks

A  single-phase transformer is designed for use in India and rated 100 VA at 50 Hz . Later, this unit is shipped to the USA where it is used as a  transformer at 60 Hz .

Which of the following statements is/are correct?

No-load current drawn would be smaller for operation in the USA compared to that in India

For the same load current, the losses would be higher in the USA compared to that in India

The peak magnetic flux density in the core would be higher while operating in the USA compared to that in India

The eddy current losses in the core would be approximately 44% higher while operating in the USA compared to that in India

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Q#2 Transformers GATE EE 2016 (Set 1) MCQ +1 mark -0.33 marks

If an ideal transformer has an inductive load element at port 2 as shown in the figure below, the equivalent inductance at port 1 is

13.jpg

nL

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Q#3 Transformers GATE EE 2016 (Set 2) NAT +1 mark -0 marks

The following figure shows the connections of an ideal transformer with primary to secondary turns ratio of 1:100. The applied primary voltage is 100V (rms), 50Hz, AC. The rms value of the current I, in ampere, is ____________.

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Q#4 Transformers GATE EE 2015 (Set 1) MCQ +1 mark -0.33 marks

The self-inductance of the primary winding of a single phase, 50 Hz, transformer is 800 mH, and that of the secondary winding is 600 mH. The mutual inductance between these two windings is 480 mH. The secondary winding of this transformer is short circuited and the primary winding is connected to a 50 Hz, single phase, sinusoidal voltage source. The current flowing in both the windings is less than their respective rated currents. The resistance of both windings can be neglected. In this condition, what is the effective inductance (in mH) seen by the source?

416

440

200

92

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Q#5 Transformers GATE EE 2015 (Set 2) MCQ +1 mark -0.33 marks

Find the transformer ratios a and b such that the impedance ( ) is resistive and equals  when the network is excited with a sine wave voltage of angular frequency of 5000 rad/s.

a =0.5 , b=2.0

a =2.0, b=0.5

a =1.0 , b=1.0

a =4.0, b=0.5

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Q#6 Transformers GATE EE 2014 (Set 2) MCQ +1 mark -0.33 marks

Assuming an ideal transformer, the Thevenin’s equivalent voltage and impedance as seen from the terminals x and y for the circuit in figure are

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Q#7 Transformers GATE EE 2014 (Set 3) MCQ +2 marks -0.66 marks

The parameters measured for a 220V/110V, 50Hz, single-phase transformer are:

Self inductance of primary winding = 45mH

Self inductance of secondary winding = 30mH

Mutual inductance between primary and secondary windings = 20mH

using the above parameters, the leakage  and magnetizing  inductance as referred to primary side in the equivalent circuit respectively, are

5mH, 20mH and 40mH

5mH, 80mH and 40mH

25mH, 10mH and 20mH

45mH, 30mH and 20mH

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Q#8 Transformers GATE EE 2013 (Set 1) MCQ +2 marks -0.66 marks

The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of 0.8. An ac voltage is applied across WX to get an open circuit voltage across YZ. Next, an ac voltage is applied across YZ to get an open circuit voltage across WX. Then,  are respectively,

125/100 and 80/100

100/100 and 80/100

100/100 and 100/100

80/100 and 80/100

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Q#9 Transformers GATE EE 2010 (Set 1) MCQ +1 mark -0.33 marks

A single-phase transformer has a turns ratio of 1:2 and is connected to a purely resistive load as shown in the figure. The magnetizing current drawn is 1 A, and the secondary current is 1 A. If core losses and leakage reactance are neglected, the primary current is

7.jpg

1.4 A

2 A

2.24 A

3 A

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Q#10 Transformers GATE EE 2007 (Set 1) MCQ +2 marks -0.66 marks

In the figure, transformer , has two secondary, all three windings having the same number of tums and with polarities as indicated. One secondary is shorted by a 10 Ω resistor R, and the other by a 15 µF capacitor.  The switch SW is opened (t = 0) when the capacitor is charged to 5V with the left plate as positive. At t=0+ the voltage and current are

25 V, 0.0 A

Very large voltage, very large current

5.0 V, 0.5 A

–5.0V, -0.5 A

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Q#11 Transformers GATE EE 2005 (Set 1) MCQ +1 mark -0.33 marks

The equivalent circuit of a transformer has leakage reactance and magnetizing reactance . Their magnitudes satisfy

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Q#12 Transformers GATE EE 2004 (Set 1) MCQ +2 marks -0.66 marks

The resistance and reactance of a 100 kVA 11000/400V, Δ-Y distribution transformer are 0.02 and 0.07pu respectively. The phase impedance of the transformer referred to the primary is

(0.02 + j0.07)Ω

(0.55 + j1.925) Ω

(15.125 + j52.94)Ω

(72.6 + j254.1)Ω

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Q#13 Transformers GATE EE 2002 (Set 1) NAT +2 marks -0 marks

A single phase 6300kVA, 50 Hz, 3300V/400V distribution transformer is connected between two 50 Hz supply systems, A and B as shown in Figure, the transformer has 12 and 99 turns in the low and high voltage windings respectively. The magnetizing reactance of the transformer referred to the high voltage side is 500Ω. The leakage reactance of the high and low voltage windings are 1.0Ω and 0.012Ω respectively. Neglect the winding resistance and core losses of the transformer. The Thevenin voltage of system A is 3300V while that of system B is 400 V, the short circuit reactance of systems A and B are 0.5Ω and 0.010 Ω respectively. If no power is transferred between A and B, so that the two system voltages are in phase, find the magnetizing ampere turns of the transformer.

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Q#14 Transformers GATE EE 2001 (Set 1) MCQ +2 marks -0.66 marks

A 3-phase transformer has rating of 20 MVA, 200 kV (star)–33 kV (delta) with leakage reactance of 12%.  The transformer reactance (in ohms) referred to each phase of the L.V delta-connected side is

23.5

19.6

18.5         

8.7

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Q#15 Transformers GATE EE 2000 (Set 1) MCQ +2 marks -0 marks

In a single-phase, three –winding transformer, the turns ratio for primary: secondary : tertiary windings is 20:4:1. With the lagging currents of 50A at a power factor of 0.6 in the tertiary winding, find the magnitude of primary current and power-factor.

2.5 and 0.8

2.5 and 0.6

3.5 and 0.6

3.5 and 0.8

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Q#16 Transformers GATE EE 1999 (Set 1) MCQ +2 marks -0.66 marks

A 10kVA, 400 V/200V single-phase transformers with 10% impedance draws a steady short circuit line current of

50A

150A

250A

350A

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