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Question: Answered & Verified by Expert
A symmetric star shaped conducting wire loop is carrying a steady state current I as shown in the figure. The distance between the diametrically opposite vertices of the star is 4a .

PhysicsMagnetic Effects of CurrentJEE Main
Options:
  • A μ0I4πa 3 3-1
  • B μ0I4πa63-1
  • C μ0I4πa6 3+1
  • D μ0I4πa32-3
Solution:
2481 Upvotes Verified Answer
The correct answer is: μ0I4πa63-1

The given points (1, 2, 3, 4, 5, 6) makes 360o angle at ‘O’. Hence angle made by vertices 1 and 2 with ‘O’ is 60o.

Direction of magnetic field at ‘O’ due to each segment is same. Since it is symmetric star shape, magnitude will also be same.

Magnetic field due to section BC.

B1=kia sin60°-sin30°=ki2a 3-1

Bnet=12×B1=6kia 3-1 and k=μ04π

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