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Two identical, closely wound, circular coils, each having
Chapter 30, Problem 5DQ(choose chapter or problem)
Problem 5DQ
Two identical, closely wound, circular coils, each having self-inductance L, are placed next to each other, so that they are coaxial and almost touching. If they are connected in series, what is the self-inductance of the combination? What if they are connected in parallel? Can they be connected so that the total inductance is zero? Explain.
Questions & Answers
QUESTION:
Problem 5DQ
Two identical, closely wound, circular coils, each having self-inductance L, are placed next to each other, so that they are coaxial and almost touching. If they are connected in series, what is the self-inductance of the combination? What if they are connected in parallel? Can they be connected so that the total inductance is zero? Explain.
ANSWER:
Solution 5DQ
The self inductance of each coil is given to be .
In series
Let be the mutual inductance between the coils.
The self-inductance of the combination is given by,
( 2 is multiplied with as there are two coils)