Chapter 15: Q12Q (page 616)
Define “fringe field.”
Fringe field is described as the peripheral field of magnet that remains outside the magnetic core.
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Question: A glass sphere carrying a uniformly distributed charge of is surrounded by an initially neutral spherical plastic shell (Figure 15.67).
(a) Qualitatively, indicate the polarization of the plastic. (b) Qualitatively, indicate the polarization of the inner glass sphere. Explain briefly. (c) Is the electric field at location P outside the plastic shell larger, smaller, or the same as it would be if the plastic weren’t there? Explain briefly. (d) Now suppose that the glass sphere carrying a uniform charge of is surrounded by an initially neutral metal shell (Figure 15.68). Qualitatively, indicate the polarization of the metal.
e) Now be quantitative about the polarization of the metal sphere and prove your assertions. (f) Is the electric field at location outside the metal shell larger, smaller, or the same as it would be if the metal shell weren’t there? Explain briefly.
Two rings of radius are apart and concentric with a common horizontal axis. The ring on the left carries a uniformly distributed charge of , and the ring on the right carries a uniformly distributed charge of . (a) What are the magnitude and direction of the electric field on the axis, halfway between the two rings? (b) If a charge ofwere placed midway between the rings, what would be the magnitude and direction of the force exerted on this charge by the rings? (c) What are the magnitude and direction of the electric field midway between the rings if both rings carry a charge of ?
If the total charge on a thin rod of length is, what is the magnitude of the electric field at a locationfrom the midpoint of the rod, perpendicular to the rod?
A plastic rod long is rubbed all over with wool, and acquires a charge of(Figure 15.52). We choose the center of the rod to be the origin of our coordinate system, with the x axis extending to the right, the y axis extending up, and the z axis out of the page. In order to calculate the electric field at location, we divide the rod into eight pieces, and approximate each piece as a point charge located at the center of the piece.
(a) What is the length of one of these pieces? (b) What is the location of the center of piece number 3? (c) How much charge is on piece number? (Remember that the charge is negative.) (d) Approximating piece 3as a point charge, what is the electric field at location A due only to piece 3? (e) To get the net electric field at location A, we would need to calculatedue to each of the eight pieces, and add up these contributions. If we did that, which arrow (a–h) would best represent the direction of the net electric field at location A?
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 −Q on the other. At about what value of Q does a spark appear between the disks?
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