A charge `q` is placed at a height `(h)/(4)` from the base of a cone of height `h` and radius `R` as shown in figure. Calculate the flux linked with the curved surface of the cone.

Explanation

`phi=phi_(c )+phi_(p)=q//epsilon_(0)`
`phi to` total flux linked
`phi_(c ) to ` flux linked with curved surface
`phi_(p) to` flux linked with plane surface
`phi_(p)=(q)/(2)(1-cosphi)=(q)/(2)(1-(h//4)/(sqrt(R^(2)+(h^(2))/(16))))`
`:. phi_(C )=(q)/(epsilon_(0))-phi_(p)`
`rArr phi_(c )=(q)/(epsilon_(0))((1)/(2)+(h)/(2sqrt(16R^(2)+h^(2))))`