Find out the surface.... | Electrostatics

JEE MAIN 2021

16-03-2021 S2

Question

Find out the surface charge density at the intersection of point x = 3 m plane and x-axis, in the region of uniform line charge of 8 nC/ m lying along the z-axis in free space

Select the correct option:

$0.424 \mathrm{nC} \mathrm{m} \mathrm{m}^{-2}$

$47.88 \mathrm{C} / \mathrm{m}$

$0.07 \mathrm{nC} \mathrm{m}^{-2}$

$4.0 \mathrm{nC} \mathrm{m}^{-2}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$\begin{aligned} & \frac{2 \mathrm{~K} \lambda}{\mathrm{r}}=\frac{\sigma}{\varepsilon_0} \quad \quad(\mathrm{x}=3 \mathrm{~m}) \\ & \sigma=0.424 \times 10^{-9} \frac{\mathrm{C}}{\mathrm{m}^2}\end{aligned}$

Question Tags

JEE Main

Physics

Easy

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