A charged shell of radius R carries a total charge Q . Given Φ as the flux of electric field through a closed cylindrical surface of height h , radius r and with its center same as that of the shell.

Question

A charged shell of radius R carries a total charge Q . Given Φ as the flux of electric field through a closed cylindrical surface of height h , radius r and with its center same as that of the shell. Here, center of the cylinder is a point on the axis of the cylinder which is equidistant from its top and bottom surfaces. Which of the following option(s) is/are correct ? [ ϵ 0 ​ is the permittivity of free space]

TestHub · Accepted Answer

For option (A), cylinder encloses the shell, thus option is correct. For option (B),

Cylinder perfectly enclosed by shell, Thus $ϕ = 0$ , so option is correct.

For option (C)

$ϕ = \frac{2 \times Q}{2 ϵ _{0}} (1 - cos 5 3^{\circ}) = \frac{2 Q}{5 ϵ _{0}}$

For option (D) :

Flux enclosed by cylinder

$= ϕ = \frac{2 Q}{2 ϵ _{0}} (1 - cos 3 7^{\circ}) = \frac{Q}{5 ϵ _{0}}$

Physics - Elecrostatics Question with Solution | TestHub

Options:(select one or more)

Doubts & Discussion