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A uniform conducting wire of length 12a and resistance 'R' is wound up as a current carrying coil in the shape of, (i) an equilateral triangle of side 'a'. (ii) a square of side 'a'.

  

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A uniform conducting wire of length 12a and resistance 'R' is wound up as a current carrying coil in the shape of,

(i) an equilateral triangle of side 'a'.

(ii) a square of side 'a'.

The magnetic dipole moments of the coil in each case respectively are:

(1) √3 Ia2 and 3 Ia2

(2) 3 Ia2 and Ia2

(3) 3 Ia2 and 4 Ia2

(4) 4 Ia2 and 3 Ia2

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Correct answer: (1) √3 Ia2 and 3 Ia2

Explanation:

M1 = \(\Big(\frac{\sqrt3}{4}a^2\Big)\)I x 4 = √3 Ia2 (no. of turns = 4)

M2 = a2I x 3 = 3Ia2(no. of turns = 3)

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