A big circular coil of 1000 turns and average radius 10 m is rotating about its horizontal diameter at 2 rad…

A big circular coil of 1000 turns and average radius 10 m is rotating about its horizontal diameter at 2 rad s-1. If the vertical component of earth's magnetic field at that place is 2×10-5 T and electrical resistance of the coil is 12.56 Ω, then the maximum induced current in the coil will be:
  1. 1.5 A
  2. 1 A
  3. 2 A
  4. 0.25 A

Solution

The magnetic flux is given by,

ϕ=BAcosωt. Therefore, induced EMF,

ε=-dϕdt=-BAωsinωt

For maximum current sinωt=1

⇒imax=BAωR=BNπr2ωR=2×10-5×1000×3.14×100×212.56=1 A

Asked in: NEET 2022 (Phase 1)

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