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Match the electrostatic configurations involving infinitely long straight wires with uniform linear charge density in List-I with the magnitude of the net electric field at the specified point in List-II. List-I List-II (A) Midpoint between two parallel wires with charge densities + and + separated by a distance 2R (I) Zero (B) Midpoint between two parallel wires with charge densities + and - separated by a distance

Options

  1. A(A) (I), (B) (II), (C) (III), (D) (IV)
  2. B(A) (II), (B) (I), (C) (III), (D) (IV)
  3. C(A) (I), (B) (III), (C) (II), (D) (IV)
  4. D(A) (I), (B) (II), (C) (IV), (D) (III)

Correct answer

A. (A) (I), (B) (II), (C) (III), (D) (IV)

Step-by-step solution

For A: The electric fields due to the two identical wires at the midpoint are equal in magnitude and opposite in direction. Net electric field is zero. (A matches I) For B: The electric fields due to the two wires at the midpoint are in the same direction. Net electric field E = 2 ₀ R + 2 ₀ R = ₀ R . (B matches II) For C: The electric field at a distance R from a single infinite line charge is E = 2 ₀ R . (C matches III) For D: The electric field at a distance 2R from a single infinite line charge is E = 2 ₀ (2R) =

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