An infinite dielectric sheet having charge density `sigma` has a hole of radius `R` in it. An electron is released on the axis of the hole at a distance `sqrt(3)R` from the center. Find the speed with which it crosses the center of the hole.

An infinite dielectric sheet having charge density sigma has a hole of radius R in it. An electron is released from point P on the axis of the hole at a distance sqrt(3)R from the center. Find the speed with which it crosses the plane of the sheet. .

An infinite dielectric sheet having charge density sigma has a holeof radius R in it. An electrom is released from point P on the axis of the hole at a distance sqrt(3)R from the center. Find the speed with which it crosses the plane of the sheet. .

An infinite dielectric sheet having charge density sigma has a holeof radius R in it. An electrom is released from point P on the axis of the hole at a distance sqrt(3)R from the center. Find the speed with which it crosses the plane of the sheet. .

A sphere of radius R has a charge density sigma . The electric intensity at a point at a distance r from its centre is

A point charge q is placed inside a conducting spherical shell of inner radius 2 R and outer radius 3 R at a distance of R from the center of the shell. Find the electric potential at the center of the shell.

Find the position of centre of mass of a uniform disc of radius R from which a hole of radius is cut out. The centre of the hole is at a distance R/2 from the centre of the disc.

A uniform circular plate of radius 2R has a circular hole of radius R cut out of it. The centre of the smaller circle is at a distance of R/3 from the centre of the larger circle. What is the position of the centre of mass of the plate?