GATE EE 2014 Set 2 — Question 16
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Electric Circuits → Network Elements & Sources → Mutual Inductance & Dot Convention
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Question
Two identical coupled inductors are connected in series. The measured inductances for the two possible series connections are and . Their mutual inductance in is ________
Correct answer
35 to 35
Solution
Let the self-inductances of the two identical inductors be and their mutual inductance be .
The equivalent inductance for series aiding connection is .
The equivalent inductance for series opposing connection is .
Subtracting the two equations:
.
The equivalent inductance for series aiding connection is .
The equivalent inductance for series opposing connection is .
Subtracting the two equations:
.
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