Two parallel infinite line charges with linear charge densities +λC/m and −λC/m are placed at a distance of 2R in free space. What is the electric field mid-way between the two line charges ?
(a) \( 0 \)
(b) \( \frac{2\lambda}{\pi \varepsilon_0 R} \; \text{N/C} \)
(c) \( \frac{\lambda}{\pi \varepsilon_0 R} \; \text{N/C} \)
(d) \( \frac{\lambda}{2\pi \varepsilon_0 R} \; \text{N/C} \)
Answer : (c) \( \frac{\lambda}{\pi \varepsilon_0 R} \; \text{N/C} \)
\( E = \frac{\lambda}{2\pi \varepsilon_0 R} \)
\( 2E = \frac{\lambda}{\pi \varepsilon_0 R} \)
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