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Physics-

General

Easy

Question

A solenoid is placed inside another solenoid, the length of both being equal carrying same magnitude of current. The parameters like radius and number of turns are in the ratio 1:2 for the two solenoids. The mutual inductance on each other would be

$M_{12} = M_{21}$
$M_{12} = 2 M_{21}$
$2 M_{12} = M_{21}$
$M_{12} = 4 M_{21}$

The correct answer is: $M subscript 12 end subscript equals M subscript 21 end subscript$

$M equals K square root of L subscript 1 end subscript L subscript 2 end subscript end root$
For perfect coupling $K equals 1$
$M subscript 12 end subscript equals M subscript 21 end subscript$

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