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KCET2007PhysicsMagnetic Effects of Current

A circular coil carrying a certain current produces a magnetic field B₀ at its centre. The coil is now rewound so as to have 3 turns and the same current is passed through it. The new magnetic field at the centre is

Options

  1. AB₀ 9
  2. B9 B₀
  3. CB₀ 3
  4. D3 B₀

Correct answer

B. 9 B₀

Step-by-step solution

The magnetic field produced at the centre of the circular coil carrying current is given by B V= ₀ N I 2 r For one turn aligned &N=1 &B₀= ₀ I 2 r aligned As the coil is rewound aligned r^ &= r 3 , N^ =3 B^ &= ₀ I 3 2 ( r 3 ) = 9 ₀ I 2 r =9 B₀ aligned

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