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Magnetics question

2021 · 31 Aug · Shift 1 · Q50
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Magnetics question

2021 · 31 Aug · Shift 1 · Q50

JEE MainPhysicsMagneticsMCQ+4 / −1
A coil having N turns is wound tightly in the form of a spiral with inner and outer radii 'a' and 'b' respectively. Find the magnetic field at centre, when a current I passes through coil:
  1. A
    μ0IN2(b−a)log⁡e(ba){{{\mu _0}IN} \over {2(b - a)}}{\log _e}\left( {{b \over a}} \right)2(b−a)μ0​IN​loge​(ab​)
  2. B
    μ0I8[a+ba−b]{{{\mu _0}I} \over 8}\left[ {{{a + b} \over {a - b}}} \right]8μ0​I​[a−ba+b​]
  3. C
    μ0I4(a−b)[1a−1b]{{{\mu _0}I} \over {4(a - b)}}\left[ {{1 \over a} - {1 \over b}} \right]4(a−b)μ0​I​[a1​−b1​]
  4. D
    μ0I8(a−ba+b){{{\mu _0}I} \over 8}\left( {{{a - b} \over {a + b}}} \right)8μ0​I​(a+ba−b​)
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