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Chapter 22: Q64P (page 657)
Three particles, each with positive chargeQ, form an equilateral triangle, with each side of length d.What is the magnitude of the electric field produced by the particles at the midpoint of any side?
The magnitude of the electric field is.
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Charge is uniformly distributed around a ring of radius R=2.40cm, and the resulting electric field magnitude Eis measured along the ring鈥檚 central axis (perpendicular to the plane of the ring). At what distance from the ring鈥檚 center is Emaximum?
Density, density, density.(a) A charge -300eis uniformly distributed along a circular arc of radius 4.00 cm, which subtends an angle of 40o. What is the linear charge density along the arc? (b) A charge -300eis uniformly distributed over one face of a circular disk of 2.00 cmradius. What is the surface charge density over that face? (c) A charge -300eis uniformly distributed over the surface of a sphere of radius 2.00 cm. What is the surface charge density over that surface? (d) A charge -300eis uniformly spread through the volume of a sphere of radius 2.00 cm. What is the volume charge density in that sphere?
Figure 22-40 shows a proton (p) on the central axis through a disk with a uniform charge density due to excess electrons. The disk is seen from an edge-on view. Three of those electrons are shown: electron ecat the disk center and electrons esat opposite sides of the disk, at radius Rfrom the center. The proton is initially at distance z=R=2.00 cmfrom the disk. At that location, what are the magnitudes of (a) the electric field due to electron ecand (b) the netelectric field due to electrons es? The proton is then moved to z=R/10.0. What then are the magnitudes of (c) and (d) at the proton鈥檚 location? (e) From (a) and (c) we see that as the proton gets nearer to the disk, the magnitude of increases, as expected. Why does the magnitude of from the two side electrons decrease, as we see from (b) and (d)?
In Millikan鈥檚 experiment, an oil drop of radiusand density is suspended in chamber C (Fig. 22-16) when a downward electric field ofis applied. Find the charge on the drop, in terms of e.
Two large parallel copper plates areapart and have a uniform electric field between them as depicted in Fig. 22-60. An electronis released from the negative plate at the same time that a proton is released from the positive plate. Neglect the force of the particles on each other and find their distance from the positive plate when they pass each other. (Does it surprise you that you need not know the electric field to solve this problem?)
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