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Class 12 › Physics › Moving Charges and Magnetism
CBSE2023Class Class 12 · Physics3 Marks · Short✅ Verified
Find the magnitude of the magnetic field at the centre of an equilateral triangular loop of side 1 m carrying a current of 10 A. ($\mu_0 = 4\pi \times 10^{-7}$ N A$^{-2}$)
✅ Answer & Solution
For an equilateral triangle of side $l = 1$ m, the perpendicular distance from centre to each side:
$$a = \frac{l}{2\sqrt{3}} = \frac{1}{2\sqrt{3}}$$
Each side subtends $\phi_1 = \phi_2 = 30°$ at the centre.
$$B_{side} = \frac{\mu_0 I}{4\pi a}(\sin 30° + \sin 30°) = \frac{\mu_0 I}{4\pi a} \cdot 1$$