JEE PYQ: Electrostatics Question 1
Question 1 - 2021 (16 Mar Shift 2)
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.
(1) $0.424$ nCm$^{-2}$
(2) $47.88$ C/m
(3) $0.07$ nCm$^{-2}$
(4) $4.0$ nCm$^{-2}$
Show Answer
Answer: (1)
Solution
$\frac{2K\lambda}{r} = \frac{\sigma}{\varepsilon_0}$ at $x = 3$ m. $\sigma = 0.424 \times 10^{-9}$ C/m$^2 = 0.424$ nCm$^{-2}$.
BETA
