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JEE Main 2002 (AIEEE) · Motional EMF

Motional EMF question from JEE Main 2002 (AIEEE)

Q58JEE Main 2002 · AIEEEMedium

Motional EMF

A conducting square loop of side LL and resistance RR moves in its plane with a uniform velocity vv perpendicular to one of its sides. A magnetic induction BB constant in time and space, pointing perpendicular and into the plane at the loop exists everywhere with half the loop outside the field, as shown in figure. The induced emf\text{emf} is

Figure

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Answer: (d)

  1. Only the left side (length LL) lies in the field; as the loop moves the area inside the field changes at rate LvLv.
  2. ε=dϕdt=BLv\varepsilon = \frac{d\phi}{dt} = BLv (emf does not depend on RR).
  3. So the answer is (d) vBLvBL.
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