Question:
Find out the surface charge density at the intersection of point $\mathrm{x}=3 \mathrm{~m}$ plane and $\mathrm{x}$-axis, in the region of uniform line charge of $8 \mathrm{n} \mathrm{C} / \mathrm{m}$ lying along the $\mathrm{z}$-axis in free space.
Correct Option: 1
Solution:
(1)
$\frac{2 \mathrm{~K} \lambda}{\mathrm{r}}=\frac{\sigma}{\varepsilon_{0}} \quad(\mathrm{x}=3 \mathrm{~m})$
$\sigma=0.424 \times 10^{-9} \frac{\mathrm{C}}{\mathrm{m}^{2}}$
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