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PhysicsMediumMCQ2023 · 30 Jan Shift 2

Q19.As shown in the figure, a current of 2 A flowing in an equilateral triangle of side 4√3 cm . The magnetic field at the centroid O of the triangle is : (Neglect the effect of earth’s magnetic field) (1) 4√3 × 10−4 T (2) 4√3 × 10−5 T (3) √3 × 10−4 T (4) 3√3 × 10−5 T

What This Question Tests

This question requires calculating the magnetic field at the centroid of an equilateral triangle due to current flowing through its sides. It involves applying the formula for the magnetic field of a finite straight wire and summing the contributions vectorially.

Concepts Tested

Magnetic field due to a straight current-carrying wireMagnetic field due to a polygonCentroid of an equilateral triangleVector addition of magnetic fields

Formulas Used

B = (μ₀I / 4πd) * (sinθ1 + sinθ2)

d = perpendicular distance from wire to point

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