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AP EAMCET20226 Jul 2022Morning ShiftPhysicsMagnetic Effects of CurrentActual

Two long parallel straight metal wires A and B carrying currents 12 ~A and 36 ~A respectively, in the same direction are separated by 50 ~cm . The point relative to A , where the resultant magnetic induction between the two wires due to the currents is zero, will be

Options

  1. A90 ~cm
  2. B7.5 ~cm
  3. C28 ~cm
  4. D12.5 ~cm

Correct answer

D. 12.5 ~cm

Step-by-step solution

Suppose at P , B =0 So, B =0 aligned & ₀ i ₁ 2 r + ₀ i ₂ 2 (0.5- r ) =0 & i ₁ r + i ₂ 0.5- r =0 & 12 r + 36 0.5- r & 0.5- r =3 r & 0.5=4 r & = r = 1 8 ~m =12.5 ~cm aligned

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