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Electromagnetic Induction question

2017 · 8 Apr · Shift 1 · Q54
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  5. /2017 · 8 Apr · Shift 1 · Q54

Electromagnetic Induction question

2017 · 8 Apr · Shift 1 · Q54

JEE MainPhysicsElectromagnetic InductionMCQ+4 / −1
A small circular loop of wire of radius a is located at the centre of a much larger circular wire loop of radius b. The two loops are in the same plane. The outer loop of radius b carries an alternating current I = Io cos (ω\omegaω t). The emf induced in the smaller inner loop is nearly :
  1. A
    πμoIo2.a2b ωsin⁡(ωt){{\pi {\mu _o}{I_o}} \over 2}.{{{a^2}} \over b}\,\omega \sin \left( {\omega t} \right)2πμo​Io​​.ba2​ωsin(ωt)
  2. B
    πμoIo2.a2b ωcos⁡(ωt){{\pi {\mu _o}{I_o}} \over 2}.{{{a^2}} \over b}\,\omega \cos \left( {\omega t} \right)2πμo​Io​​.ba2​ωcos(ωt)
  3. C
    πμoIo a2bωsin⁡(ωt)\pi {\mu _o}{I_o}\,{{{a^2}} \over b}\omega \sin \left( {\omega t} \right)πμo​Io​ba2​ωsin(ωt)
  4. D
    πμoIo b2aωcos⁡(ωt){{\pi {\mu _o}{I_o}\,{b^2}} \over a}\omega \cos \left( {\omega t} \right)aπμo​Io​b2​ωcos(ωt)
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