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NEET · Physics · STD 12 - 1. Electric charges and fields

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?

  1. A Zero
  2. B \(\frac{2 \lambda}{\pi \epsilon_{0} \mathrm{R}} \mathrm{N} / \mathrm{C}\)
  3. C \(\frac{\lambda}{\pi \mathrm{e}_{0} \mathrm{R}} \mathrm{N} / \mathrm{C}\)
  4. D \(\frac{\lambda}{2 \pi \epsilon_{0} R} \mathrm{N} / \mathrm{C}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{\lambda}{\pi \mathrm{e}_{0} \mathrm{R}} \mathrm{N} / \mathrm{C}\)

Step-by-step Solution

Detailed explanation

\(\overrightarrow{\mathrm{E}}=\overrightarrow{\mathrm{E}}_{1}+\overrightarrow{\mathrm{E}}_{2}\) \(\mathrm{E}=\mathrm{E}_{1}+\mathrm{E}_{2}\)
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