Two parallel infinite line charges with linear charge densities $+\mathrm{\lambda C}/\mathrm{m}\text{ and }-\mathrm{\lambda C}/\mathrm{m}$ are placed at a distance of 2R in free space. What is the electric field mid-way between the two line charges?

• A

  $\frac{\lambda }{2\pi {\epsilon }_{0}R} \mathrm{N}/\mathrm{C}$

• B

  $\text{ zero }$

• C

  $\frac{2\lambda }{\pi {\epsilon }_{0}R} \mathrm{N}/\mathrm{C}$

• D

  $\frac{\lambda }{\pi {\epsilon }_{0}R} \mathrm{N}/\mathrm{C}$