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qImage67b2fc2812f12de0bedf2f2e

If the circuit represents a simplified equivalent circuit of a transformer, then with usual notations, X2 _______.

This question was previously asked in
MPPGCL JE Electrical 28 April 2023 Shift 1 Official Paper
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  1. \(\mathrm{X}_{2}\left(\frac{\mathrm{~N}_{2}}{\mathrm{~N}_{1}}\right)^{2}\)
  2. \(\mathrm{X}_{2}\left(\frac{\mathrm{~N}_{1}}{\mathrm{~N}_{2}}\right)\)
  3. \(\mathrm{X}_{2}\left(\frac{\mathrm{~N}_{1}}{\mathrm{~N}_{2}}\right)^{2}\)
  4. \(\mathrm{X}_{2}\left(\frac{\mathrm{~N}_{2}}{\mathrm{~N}_{1}}\right)\)

Answer (Detailed Solution Below)

Option 3 : \(\mathrm{X}_{2}\left(\frac{\mathrm{~N}_{1}}{\mathrm{~N}_{2}}\right)^{2}\)
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Detailed Solution

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Equivalent circuit of transformer

qImage67cbfb147af55b8aa745a1c2

Let the number of turns on the primary and secondary side be N1 and N2 respectively.

Referring secondary parameters on primary side:

qImage67cbfb157af55b8aa745a1c4 

\(X_2'=\mathrm{X}_{2}\left(\frac{\mathrm{~N}_{1}}{\mathrm{~N}_{2}}\right)^{2}\)

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More Transformer Questions

Q1.Open circuit and short circuit tests conducted on a 10 kVA 2000 V/200 V, 50Hz single-phase transformer gave the following readings. OC test: 200 V, 1.1 A, 81 W SC test: 30 V, 5 A, 100 W At what fraction of full load will the transformer operate at maximum efficiency?
Q2.A single-phase transformer has a turn ratio of 2. The respective resistances of LV and HV windings are 0.06 Ω and 0.2 Ω. What is the total equivalent resistance of the transformer referred to the LV side?
Q3.Power input to a 20 kVA, 200 V/400 V, single-phase two winding transformer during an open circuit test is measured to be 200 W. What is its core loss approximately when the transformer is fully loaded?
Q4.A power transformer is usually rated in ________.
Q5.For the construction of the core of the transformer, the materials used should have _______ permeability and _______  reluctance.
Q6.A transformer is said to be a step-up transformer when ________.
Q7.Which of the following 3-phase transformer combinations can be successfully run in parallel?
Q8.Three phases step-up transformer installed at the powerhouse, just before the commencement of the transmission line, have:
Q9.The primary no load current of the transformer is _______  the full load current.
Q10.By which of the following method, the core losses can be minimized?
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Q1.An 8-pole alternator is driven by a turbine at a speed of 1200 rpm. What is the frequency of EMF generated?
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