Eduprobe
Question:
Two parallel infinite line charges with linear charge densities +λ C/m and -λ C/m are placed at a distance of 2R in free space. What is the electric field mid-way between the two line charges?
2λπε₀RN/C
λπε₀RN/C
λ/2πε₀RN/C
zero
Solution:
Correct option is C. λ/2πε₀RN/C
Electric field due to line charge (1)
E→₁ = λ/2πε₀Rî N/C
Electric field due to line charge (2)
E→₂ = λ/2πε₀Rî N/C
E→net = E→₁ + E→₂ = λ/2πε₀Rî + λ/2πε₀Rî = λ/πε₀Rî N/C