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Question: Answered & Verified by Expert
Consider a thin metallic sheet perpendicular to the plane of the paper moving with speed v in a uniform magnetic field B going into the plane of the paper (see figure). If charge densities σ1 and σ2 are induced on the left and right surfaces respectively of the sheet, then (ignore fringe effects)

PhysicsElectromagnetic InductionJEE Main
Options:
  • A σ1=-ϵ0vB2, σ2=ϵ0vB2
  • B σ1=ϵ0vB, σ2=-ϵ0vB
  • C σ1=ϵ0vB2, σ2=-ϵ0vB2
  • D σ1=σ2=ϵ0vB
Solution:
2470 Upvotes Verified Answer
The correct answer is: σ1=ϵ0vB, σ2=-ϵ0vB
σ1=-σ2 [due to magnetic force]

E=σε0=vB

σ=ε0vB

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