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Field at the centre of a flat spiral coil, or its magnetic moment

This type of question, asked 2 times: 2021 Paper 22, 4 Apr 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    2021 Paper 22

    7
    A coil having NN turns is wound tightly in the form of a spiral with inner and outer radii ' aa ' and 'b' respectively. Find the magnetic field at centre, when a current I passes through coil:

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  2. Question 2

    4 Apr 2026 S1

    16
    An insulated wire is wound so that it forms a flat coil with N=200N = 200 turns. The radius of the innermost turn is r1=3 cmr_{1}= 3\text{ }cm, and of the outermost turn r2=6 cmr_{2}= 6\text{ }cm. If 20 mA current flow in it then the magnetic moment will be α×10−2 A.m2\alpha \times10^{- 2}\text{ }A.m^{2}. The value of α\alpha is ____\_\_\_\_ .

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