GATE EE 2016 Set 2 — Question 13
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Electrical Machines → Single-Phase Transformers → Equivalent Circuit & Phasor
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Question
The following figure shows the connection of an ideal transformer with primary to secondary turns ratio of . The applied primary voltage is (rms), , AC. The rms value of the current , in ampere, is __________.
Correct answer
9.5 to 10.5
Solution
Given:
Primary voltage, (rms)
Turns ratio,
Primary reactance,
Secondary resistance,
Secondary capacitive reactance, The secondary impedance is .Reflecting the secondary impedance to the primary side:
.The total impedance seen by the primary source is:
.The magnitude of the total impedance is:
.The rms value of the primary current is:
.
Primary voltage, (rms)
Turns ratio,
Primary reactance,
Secondary resistance,
Secondary capacitive reactance, The secondary impedance is .Reflecting the secondary impedance to the primary side:
.The total impedance seen by the primary source is:
.The magnitude of the total impedance is:
.The rms value of the primary current is:
.
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