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AP EAMCET201824 Apr 2018Morning ShiftPhysicsMagnetic Effects of CurrentActual

A circular loop and an infinitely long straight conductor carry equal currents, as shown in the figure. The net magnetic field at the centre of the loop is B₁ , when the current in the loop is clockwise and B₂ when the current in the loop is anti-clockwise. Then B₁ B₂ is

Options

  1. A15 29
  2. B13 15
  3. C13 17
  4. D17 19

Correct answer

A. 15 29

Step-by-step solution

When current is clockwise, then net magnetic field, B₁= ₀ i 2 r - ₀ i 2 r B₁= ₀ i 2 r (1- 1 ) Similarly, when current is anti-clockwise B₂= ₀ i 2 r (1+ 1 ) Now, B₁ B₂ = -1 +1 = 22 7 -1 22 7 +1 B₁ B₂ = 15 29

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