Two parallel infinite line charges with linear charge densities + λ C m - 1 and - λ C m - 1 are placed at a…

1. zero
2. $\frac{2\lambda }{\pi {ϵ}_0 R}\mathrm{ }\mathrm{N} {\mathrm{C}}^{-1}$
3. $\frac{\lambda }{\pi {ϵ}_0\mathrm{ }R}\mathrm{ }\mathrm{N} {\mathrm{C}}^{-1}$
4. $\frac{\lambda }{2\pi {ϵ}_0\mathrm{ }R}\mathrm{ }\mathrm{N} {\mathrm{C}}^{-1}$

Solution

$E_1=\frac{\lambda }{2\pi {\epsilon }_{0}R}$
$E_2=\frac{\lambda }{2\pi {\epsilon }_{0}R}$
$E_{\mathrm{net}}=E_1+E_2$
$=\frac{\lambda }{\pi {\epsilon }_{0}R}\mathrm{ }\mathrm{N} {\mathrm{C}}^{-1}$

Asked in: NEET 2019 (All India)

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