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NEET2014PhysicsMagnetic Effects of CurrentActual

Two identical long conducting wires A O B and C O D are placed at right angle to each other, with one above other such that ‘ O ’ is their common point for the two. The wires carry I 1 and I 2 currents, respectively. Point ‘ I ’ is lying at distance ‘ d ’ from ‘ O ’ along a direction perpendicular to the plane containing the wires. The magnetic field at the point &lsquo

Options

  1. Aμ 0 2 π d I 1 I 2
  2. Bμ 0 2 π d I 1 + I 2
  3. Cμ 0 2 π d I 1 2 - I 2 2
  4. Dμ 0 2 π d I 1 2 + I 2 2 1 / 2

Correct answer

D. μ 0 2 π d I 1 2 + I 2 2 1 / 2

Step-by-step solution

B → due to wire 1   B → 1 = μ 0 i 1 2 π d i ^ B → due to wire 2   B → 2 = μ 0 i 2 2 π d - j ^ B n e t = μ 0 2 π d   i 1 2 + i 2 2

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