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Chapter 15: Q18Q (page 617)
A student said, 鈥淭he electric field inside a uniformly charged sphere is always zero.鈥� Describe a situation where this is not true.
The field inside a uniformly charged sphere is not zero at all points except the center of the sphere.
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A capacitor made of two parallel uniformly charged circular metal disks carries a charge of +Q and 鈭扱 on the inner surfaces of the plates and very small amounts of charge +q and 鈭抭 on the outer surfaces of the plates. Each plate has a radius R and thickness t, and the gap distance between the plates is s. How much charge q is on the outside surface of the positive disk, in terms of Q?
When calculating the electric field of an object with electric charge distributed approximately uniformly over its surface, what is the order in which you should do the following operations? (1) Check the direction and units. (2) Write an expression for the electric field due to one point-like piece of the object. (3) Divide up the object into small pieces of a shape whose field is known. (4) Sum the vector contributions of all the pieces.
Consider a thin plastic rod bent into a semicircular arc of radius with center at the origin (Figure 15.57). The rod carries a uniformly distributed negative charge . 
(a) Determine the electric field at the origin contributed by the rod. Include carefully labeled diagrams, and be sure to check your result. (b) An ion with charge and mass is placed at rest at the origin. After a very short time the ion has moved only a very short distance but has acquired some momentum .Calculate .
A capacitor consists of two large metal disks of radius 1.1 m placed parallel to each other, a distance of 1.2 mm apart. The capacitor is charged up to have an increasing amount of charge +Q on one disk and 鈭扱 on the other. At about what value of Q does a spark appear between the disks?
Suppose that the radius of a disk is 21 cm, and the total charge distributed uniformly all over the disk is . (a) Use the exact result to calculate the electric field 1 mm from the center of the disk. (b) Use the exact result to calculate the electric field 3 mm from the center of the disk. (c) Does the field decrease significantly?
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