Two identical, closely wound, circular coils, each having

Chapter 30, Problem 5DQ

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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.

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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)

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