Two parallel infinite line charges with linear charge densities $+\lambda\; \mathrm{C} / \mathrm{m}$ and $-\lambda\; \mathrm{C} / \mathrm{m}$ are placed at a distance of $2 \mathrm{R}$ in free space. What is the electric field mid-way between the two line charges?
Two parallel infinite line charges with linear charge densities $+\lambda\; \mathrm{C} / \mathrm{m}$ and $-\lambda\; \mathrm{C} / \mathrm{m}$ are placed at a distance of $2 \mathrm{R}$ in free space. What is the electric field mid-way between the two line charges?
- [NEET 2019]
- A
$0\;N/C$
- B
$\frac{2 \lambda}{\pi \epsilon_{0} \mathrm{R}} \mathrm{N} / \mathrm{C}$
- C
$\frac{\lambda}{\pi \mathrm{e}_{0} \mathrm{R}} \mathrm{N} / \mathrm{C}$
- D
$\frac{\lambda}{2 \pi \epsilon_{0} R} \mathrm{N} / \mathrm{C}$
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- [IIT 2013]
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