A uniform conducting wires of length 12a and resistance R is wound up

1.	A uniform conducting wires of length 12a and resistance R is wound up as a current carrying coil in the shape of,(i) any equilateral triangle of side a.(ii) a square of side a.The magnetic dipole moment of the coil in each case respectively are :(1) 4 Ia² and 3 Ia²(2) √3 Ia² and 3 Ia²(3) 3 Ia² and Ia²(4) 3 Ia² and 4 Ia²
Answer» Answer: (1). √3Ia² and 3Ia² M₁ = (\(\frac{\sqrt{3}}{4}a^2\))I x 4 = √3Ia² (no. of turns = 4) M₂= a²I × 3 = 3Ia² (no. of turns = 3)

A uniform conducting wires of length 12a and resistance R is wound up as a current carrying coil in the shape of,(i) any equilateral triangle of side a.(ii) a square of side a.The magnetic dipole moment of the coil in each case respectively are :(1) 4 Ia² and 3 Ia²(2) √3 Ia² and 3 Ia²(3) 3 Ia² and Ia²(4) 3 Ia² and 4 Ia²

Answer»

Answer: (1). √3Ia² and 3Ia²

M₁ = (\(\frac{\sqrt{3}}{4}a^2\))I x 4 = √3Ia²

(no. of turns = 4)

M₂= a²I × 3 = 3Ia²

(no. of turns = 3)

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