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What is the relation between the self-inductance and the reluctance of a coil?

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What is the relation between the self-inductance and the reluctance of a coil?

(a) directly proportional

(b) inversely proportional

(c) no relation

(d) constant

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The query is from Inductive Transducer topic in section Transducers of Electrical Measurements

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The correct answer is (b) inversely proportional

The explanation is: The self-inductance of an inductor is obtained by making use of the relation

L = ^N^2⁄S

where, N is the number of coil

            S is the reluctance of the coil (A/Wb)

We observe from the above equation that the self-inductance of a coil is inversely proportional to its reluctance.

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