Electrostatics 3 Question 13
13. An infinitely long thin non-conducting wire is parallel to the -axis and carries a uniform line charge density . It pierces a thin non-conducting spherical shell of radius in such a way that the subtends an angle at the centre of the spherical shell, as shown in the figure. The permittivity of free space is . Which of the following statements is (are) true? (2018 Adv.)
(a) The electric flux through the shell is
(b) The
(c) The electric flux through the shell is
(d) The electric field is normal to the surface of the shell at all points
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Answer:
Correct Answer: 13. (c, d)
Solution:
Also, electric field is perpendicular to wire, so