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For c = 2 a and a < b < c , the magnetic field at the point P will be zero when

Options

  1. Aa = b
  2. Ba = 3 5 b
  3. Ca = 5 3 b
  4. Da = 1 3 b

Correct answer

C. a = 5 3 b

Step-by-step solution

Magnetic field at the centre b = μ 0 I 2 c ⊗ + μ 0 I 2 b 3 4 ⊙ + μ 0 I 2 a 3 4 ⊗ As per problem : 0 = μ 0 I 2 1 c - 3 4 b + 3 4 a ⇒ 3 4 1 b - 1 a = 1 c If c = 2 a , 3 4 1 b - 1 a = 1 2 a ⇒ a = 5 3 b

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