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Magnetism question

2011 · Shift 2 · Q51
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Magnetism question

2011 · Shift 2 · Q51

JEE AdvancedPhysicsMagnetismMCQ+3 / −1
A long insulated copper wire is closely wound as a spiral of N turns. The spiral has inner radius a and outer radius b. The spiral lies in the xy-plane and a steady current I flows through the wire. The z-component of the magnetic field at the centre of the spiral is IIT-JEE 2011 Paper 2 Offline Physics - Magnetism Question 16 English
  1. A
    μ0NI2(b−a)ln⁡(ba){{{\mu _0}NI} \over {2(b - a)}}\ln \left( {{b \over a}} \right)2(b−a)μ0​NI​ln(ab​)
  2. B
    μ0NI2(b−a)ln⁡(b+ab−a){{{\mu _0}NI} \over {2(b - a)}}\ln \left( {{{b + a} \over {b - a}}} \right)2(b−a)μ0​NI​ln(b−ab+a​)
  3. C
    μ0NI2bln⁡(ba){{{\mu _0}NI} \over {2b}}\ln \left( {{b \over a}} \right)2bμ0​NI​ln(ab​)
  4. D
    μ0NI2bln⁡(b+ab−a){{{\mu _0}NI} \over {2b}}\ln \left( {{{b + a} \over {b - a}}} \right)2bμ0​NI​ln(b−ab+a​)
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