A uniformly charged and infinitely long line having a linear charge density \[\lambda \] is placed at a normal distance y from a point O. Consider an imaginary sphere of radius R with O as center and R>y. Electric flux through the surface of the sphere is

\[\frac{\lambda \sqrt{{{R}^{2}}+{{y}^{2}}}}{{{\varepsilon }_{0}}}\]

\[\frac{2\lambda R}{{{\varepsilon }_{0}}}\]

\[\frac{2\lambda \sqrt{{{R}^{2}}-{{y}^{2}}}}{{{\varepsilon }_{0}}}\]

A uniformly charged and infinitely long line having a linear charge de

1.	A uniformly charged and infinitely long line having a linear charge density \[\lambda \] is placed at a normal distance y from a point O. Consider an imaginary sphere of radius R with O as center and R>y. Electric flux through the surface of the sphere is
A.	zero
B.	\[\frac{2\lambda R}{{{\varepsilon }_{0}}}\]
C.	\[\frac{2\lambda \sqrt{{{R}^{2}}-{{y}^{2}}}}{{{\varepsilon }_{0}}}\]
D.	\[\frac{\lambda \sqrt{{{R}^{2}}+{{y}^{2}}}}{{{\varepsilon }_{0}}}\]
Answer» D. \[\frac{\lambda \sqrt{{{R}^{2}}+{{y}^{2}}}}{{{\varepsilon }_{0}}}\]