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Q.

A thin insulated wire forms a plane spiral of N=100 tight turns carrying a current I=8 mA. The radii inside and outside turns (Fig.) are equal to a=50mm and b=100mm. Find the magnetic moment of the spiral with a given current.

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a

15 mA.m2.

b

10mA.m2.

c

20mA.m2.

d

5mA.m2.

answer is A.

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Detailed Solution

Magnetic moment due to considered element

dPm=No. of turns × current × area

dPm=dN × I × πr2

dPm=INb-aabπr2 dr

Pm=πNIb3-a33(b-a)=πNI3b2+ab+a2=15 mA.m2.

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