The charged sheet:
A rectangular insulating sheet carrying charge evenly distributed over its surfaceis formed into a cylinder, producing a thin-walled hollow object of length l and radius r (see diagram).
We wish to find the electric force on a point charge q, located onthe axis of the cylinder atone end. q q<0.
(a) Draw a sketch showing the coordinate system you will use and the direction of E vector.
(b) Clearly indicate the charge element dq that you will use for the integration in your sketch.
(c) Set up the integration; express e as a constant times an integral over a single variable.
(d) Perform the integration to find e. Then determine which way you should roll up a charged sheet of notebook paper to produce the strongest force f at the end (dimensions 8.5 x 11 in = 21.6 cm x 27.9 cm)