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Field at the centre of a triangle, square or hexagon loop

This type of question, asked 6 times: 2021 Paper 23, 30 Jan 2023, 30 Jan 2024, 1 Feb 2024, 24 Jan 2025, 23 Jan 2026 S2. All 6 questions below, oldest first.

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  1. Question 1

    2021 Paper 23

    2
    A current of 1.5 A1.5\text{ }A is flowing through a triangle, of side 9 cm9\text{ }cm each. The magnetic field at the centroid of the triangle is: (Assume that the current is flowing in the clockwise direction.)

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  2. Question 2

    30 Jan 2023

    103
    As shown in the figure, a current of 2 A flowing in an equilateral triangle of side 43 cm4\sqrt{3}\text{ }cm. The magnetic field at the centroid 0 of the triangle is (Neglect the effect of earth's magnetic field)

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  3. Question 3

    30 Jan 2024

    116
    A current of 5 A5\text{ }A flows in a square loop of side 1 m1\text{ }m placed in air. The magnetic field at the centre of the loop is X2×10−7 TX\sqrt{2} \times 10^{-7}\text{ }T. The value of XX is

  4. Question 4

    1 Feb 2024

    21
    A regular polygon of 6 sides is formed by bending a wire of length 4π4\pi meter. If an electric current of 4π3 A4\pi\sqrt{3}\text{ }A is flowing through the sides of the polygon, the magnetic field at the centre of the polygon would be x×10−7 Tx \times10^{- 7}\text{ }T. The value of xx is ____

  5. Question 5

    24 Jan 2025

    24
    A current of 5 A exists in a square loop of side 12 m\frac{1}{\sqrt{2}}\text{ }m. Then the magnitude of the magnetic field BB at the centre of the square loop will be p×10−6 Tp \times10^{- 6}\text{ }T. where, value of p is _____\_\_\_\_\_ [Take μ0\left\lbrack Take\ \mu_{0} \right. =4π×10−7 T mA−1= 4\pi\times10^{- 7}\text{ }T{\text{ }mA}^{- 1} ].

  6. Question 6

    23 Jan 2026 S2

    4
    The current passing through a conducting loop in the form of equilateral triangle of side 43 cm4\sqrt{3}\text{ }cm is 2A. The magnetic field at its centroid is α×10−5 T\alpha \times 10^{- 5}\text{ }T. The value of α\alpha is ____\_\_\_\_ . (Given : μo=4π×10−7\mu_{o} = 4\pi \times 10^{- 7} SI units)

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