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The electric field vector at point P (a, a, a) due to three uniformly charged infinite wires 1, 2 and 3 kept the x, y and z-axes, respectively as shown in shown in figure is (Charge unit length of each wire is λ )

Options

  1. Aλ 3 π ε 0 a i ^ + j ^ + k ^
  2. Bλ 2 π ε 0 a i ^ + j ^ + k ^
  3. Cλ 2 2 π ε 0 a i ^ + j ^ + k ^
  4. D2 λ π ε 0 a i ^ + j ^ + k ^

Correct answer

B. λ 2 π ε 0 a i ^ + j ^ + k ^

Step-by-step solution

The electric field vector at due to (2) E → 2 = k λ a i ^ + k ^ due to (3) E → 3 = k λ a i ^ + j ^ (1) E → 1 = k λ a j ^ + k ^ So E → P = 2 k λ a i ^ + j ^ + k ^

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