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Question: Answered & Verified by Expert
Magnitude of magnetic field (in SI units) at the centre of a hexagonal shape coil of side 10 cm,50 turns and carrying currentI  (Ampere) in units of μ0Iπ is :
PhysicsMagnetic Effects of CurrentJEE MainJEE Main 2020 (03 Sep Shift 1)
Options:
  • A 2503
  • B 503
  • C 5003
  • D 53
Solution:
1850 Upvotes Verified Answer
The correct answer is: 5003

The magnetic field due to the current-carrying finite length wire is given by

B=μ0I4πRsinθ1+sinθ2

Here for hexagonal shape coil, θ1=θ2=30°.

So, the net magnetic field at the centre will be B=50×6×μ0i4π10100cos 30°sin 30°+sin 30°

B=2×75×10μ0i3π12+12

B=15003μ0iπ   =5003μ0iπ

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