Two parallel infinite line charges with linear charge densities +λ C/m and -λ C/m are placed at a distance 2R in free space. The electric field midway between the wires is:
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Two parallel infinite line charges with linear charge densities +λ C/m and −λ C/m are placed at a distance 2R in free space. The electric field midway between the wires is:

G1 Physics · Accepted Answer

Step 1: Electric field due to a long line charge at distance R is E₁ = |λ|/(2πε₀R). Step 2: At midpoint, fields of the positive and negative lines point in the same direction, from + to −. Step 3: Eₙₑₜ = 2E₁ = λ/(πε₀R).