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.

(1) 0.424 nC m^–2

(2) 47.88 C/m

(3) 0.07 nC m^–2

(4) 4.0 nC m^–2

Answer 1

Correct option is (1) 0.424 nC m^–2

\(\frac{2K\lambda}r=\frac{\sigma}{\varepsilon_0}\)

(x = 3m)

\(\sigma\) = 0.424 x 10^-9 \(\frac{C}{m^2}\)