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(1) A long cylindrical shell carries a uniform charge density. If there is +0.100 C per meter, what is the volume charge density of this cylinder with an inner radius of 5 cm, and outer radius of 10 cm?

(2) For problem 1, illustrate (qualitatively) the electrical field and the equi-potential surfaces generated by this charge distribution.

(3) Eight identical spherical rain drops are each at a potential V, relative to the potential far away. They coalesce to make one spherical rain drop. What is the electrical potential of the resulting large rain drop?

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