Afilamentary conductor is formed into an equilateral triangle with sides of length carrying current i . find the magnetic field intensity at the center of the triangle.

magnetic field due to a finite straight conductor is given by

here since it forms an equilateral triangle so we will have

also the perpendicular distance of the point from the wire is

now from the above equation magnetic field due to one wire is given by

now since in equilateral triangle there are three such wires so net magnetic field will be

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explanation:

kepler used the data from tycho blahe (his mentor) to construct the laws of planetary motion.