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A very long straight conducting wire, lying along the z -axis, carries a current of 2 A . The integral ∫ B → . d ℓ → is computed along the straight line PQ , where P has the coordinates ( 2 cm , 0 , 0 ) and Q has the coordinates ( 2 cm , 2 cm , 0 ) . The integral has the magnitude (in T m )

Options

  1. AZero
  2. B8 π × 1 0 - 7
  3. C2 π × 1 0 - 7
  4. Dπ × 1 0 - 7

Correct answer

D. π × 1 0 - 7

Step-by-step solution

∫ PAQ B → . d ℓ → = ∫ RBQ B → . d ℓ → ∫ PCR B → . d ℓ → = 0 = μ 0 I 2 πR π 4 R = 4 π × 1 0 - 7 2 8 = π × 1 0 - 7 T m

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