Electro Magnetic Induction And Alternating Currents Question 462

Question: A rectangular coil has a long straight wire passing through its centroid perpendicular to its plane as shown. If current through the wire varies as $ i=i_{0}\sin \omega t $ , induced current in the coil will be (Given R = Resistance of the coil)

Options:

A) $ \frac{i_{0}\sin \omega t}{R} $

B) $ \frac{\pi a\sin \omega t}{bR} $

C) zero

D) $ \frac{\pi a\cos \omega t}{bR} $

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Answer:

Correct Answer: C

Solution:

  • The magnetic flux through the coil will be zero, and so induced emf in it will be zero.


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