GATE EE 2016 Set 1 — Question 35
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Question
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
Correct answer
(B) n²L
Solution
For an ideal transformer with a turns ratio of , the impedance connected to the secondary (port 2) is reflected to the primary (port 1) as .
Given the load at port 2 is an inductor with inductance , its impedance is .
The equivalent impedance at port 1 is:
Comparing this with the standard form of inductive impedance , we find the equivalent inductance at port 1 to be:
Therefore, the correct option is (B).
Given the load at port 2 is an inductor with inductance , its impedance is .
The equivalent impedance at port 1 is:
Comparing this with the standard form of inductive impedance , we find the equivalent inductance at port 1 to be:
Therefore, the correct option is (B).
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