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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).

1834_A rectangular insulating sheet carrying charge.png

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.

(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)

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