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Q.

Two concentric circular loops of radius ‘r’ each are kept perpendicular to each other having ‘i’ current flowing through them. The resultant magnetic moment is

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a

$i π r^{2} \sqrt{2}$

b

${ir}^{2} \sqrt{2}$

c

$ir \sqrt{2}$

d

$π r^{2} \sqrt{2}$

answer is A.

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Detailed Solution

Two identical circular loops each of radius r carrying the same current ...

The magnetic moment for each coil is iA

Here $M = i {πr}^{2}$

resultant magnetic moment is

$\sqrt{2} M = \sqrt{2} i {πr}^{2}$

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Two concentric circular loops of radius ‘r’ each are kept perpendicular to each other having ‘i’ current flowing through them. The resultant magnetic moment is