GATE EE 2015 Set 2 — Question 56
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Electric Circuits → Magnetic Circuits & Inductance → Coupled Coils
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Question
Two identical coils each having inductance are placed together on the same core. If an overall inductance of is obtained by interconnecting these two coils, the minimum value of is ______.
Correct answer
0 to 0
Solution
1.For two identical coils with inductance and mutual inductance , the equivalent inductance can be , , , or depending on the connection.
2.The minimum value occurs for series opposing or parallel opposing connections when coupling is perfect ().
3. or .
4.Thus, .
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