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NTA Abhyas JEE Main2020PhysicsMagnetic Effects of CurrentPractice

Three semi-infinite wires, each carrying a current of 1 A are placed on each of the coordinate axes with their ends at the origin, as shown in the figure. The magnetic induction at point P - 2 m , 0 , 0 is

Options

  1. Aμ 0 4 π j ^ + k ^
  2. Bμ 0 4 π j ^ - k ^
  3. Cμ 0 8 π - j ^ + k ^
  4. Dμ 0 8 π j ^ + k ^

Correct answer

C. μ 0 8 π - j ^ + k ^

Step-by-step solution

There is no magnetic field at P due to wire in x -axis B → P d u e t o w i r e i n y - a x i s = μ 0 I 4 π a k ^ B → P d u e t o w i r e i n z - a x i s μ 0 I 4 π a - j ^ ∴ B → P = μ 0 I 4 π a - j ^ + k ^ = μ 0 I 8 π - j ^ + k ^ = μ 0 8 π - j ^ + k ^

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