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Chapter 24: Q65P (page 714)
What is the excess charge on a conducting sphere of radius if the potential of the sphere is and at infinity ?
The excess charge on a conducting sphere is .
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Two metal spheres, each of radius 3.0 cm, have a center-to-center separation of 2.0 m. Sphere 1 has charge ; sphere 2 has charge. Assume that the separation is large enough for us to say that the charge on each sphere is uniformly distributed (the spheres do not affect each other). Withdata-custom-editor="chemistry" at infinity, calculate (a) the potential at the point halfway between the centers and the potential on the surface of (b) sphere 1 and (c) sphere 2.
Consider a particle with charge q = 1.0 mC, point Aat distance d1 = 2.0 mfrom q, and point Bat distance d2 = 1.0 m. (a) If Aand B are diametrically opposite each other, as in Fig. 24-36a, what is the electric potential difference VA - VB? (b) What is that electric potential difference if Aand Bare located as in Fig. 24-36b?
In Fig. 24-31a, what is the potential at point P due to charge Q at distance R from P? Set at infinity. (b) In Fig. 24-31b, the same charge has been spread uniformly over a circular arc of radius R and central angle 40. What is the potential at point P, the center of curvature of the arc? (c) In Fig. 24-31c, the same charge Q has been spread uniformly over a circle of radius R . What is the potential at point P , the center of the circle? (d) Rank the three situations according to the magnitude of the electric field that is set up at P, greatest first.
Figure 24-29 shows four arrangements of charged particles, all the same distance from the origin. Rank the situations according to the net electric potential at the origin, most positive first. Take the potential to be zero at infinity.
In Fig. 24-60, a charged particle (either an electron or a proton) is moving rightward between two parallel charged plates separated by distance d=2.0 mm. The plate potentials are V1= -70.0 Vand V2= -50.0V. The particle is slowing from an initial speed of 90.0 km/sat the left plate. (a) Is the particle an electron or a proton? (b) What is its speed just as it reaches plate 2?
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