17) A conducting sphere contains positive charge distributed uniformly over its surface. Which statements about the potential due to this sphere are true? All potentials are measured relative to infinity. A) The potential at the surface is higher than the potential at the center. B) The potential at the center is the same as the potential at infinity. C) The potential is lowest, but not zero, at the center of the sphere. D) The potential at the center of the sphere is zero. E) The potential at the center of the sphere is the same as the potential at the surface.

17) A conducting sphere contains positive charge distributed uniformly over its surface. Which statements about the potential due to this sphere are true? All potentials are measured relative to infinity. A) The potential at the surface is higher than the potential at the center. B) The potential at the center is the same as the potential at infinity. C) The potential is lowest, but not zero, at the center of the sphere. D) The potential at the center of the sphere is zero. E) The potential at the center of the sphere is the same as the potential at the surface.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter7: Electric Potential

Section: Chapter Questions

Problem 98AP: A small spherical pith ball of radius 0.50 cm is painted with a silver paint and then -10 C of...

See similar textbooks

Similar questions

A glass ring of radius 5.0 cm is painted with a charged paint such that the charge density around the ring varies continuously given by the following function of die polar angle ,=(3.0106C/m)cos2 . Find the potential at a point 15 cm above the center.
Consider two conducting spheres with radii R1 and R2 separated by a distance much greater than cither radius. A total charge Q is shared between the spheres. We wish to show that when the electric potential energy of the system has a minimum value, the potential difference between the spheres is zero. The total charge Q is equal to q1 + q2, where q1 represents the charge on the first sphere and q2 the charge on the second. Because the spheres are very far apart, you can assume the charge of each is uniformly distributed over its surface. (a) Show that the energy associated with a single conducting sphere of radius R and charge q surrounded by a vacuum is UE = keq2/2R. (b) Find the total energy of the system of two spheres in terms of the total charge Q, and the radii and R1 and R2. (c) To minimize the energy, differentiate the result to part (b) with respect to q1 and set the derivative equal to zero. Solve for q1 in terms of Q and the radii. (d) From the result to part (c), find the charge q2. (e) Find the potential of each sphere. (f) What is the potential difference between the spheres?
In what region of space is the potential due to a uniformly charged Sphere the same as that of a point charge? In what region does it differ from that of a point charge?
It is shown in Example 24.7 that the potential at a point P a distance a above one end of a uniformly charged rod of length lying along the x axis is V=keQlln(l+a2+l2a) Use this result to derive an expression for the y component of the electric field at P.
The potential in a region between x = 0 and x = 6.00 m V = a + bx, where a = 10.0 V and b = -7.00 V/m. Determine (a) the potential at x = 0, 3.00 m, and 6.00 m and (b) the magnitude and direction of the electric field at x = 0, 3.00 m. and 6.00 m.
A CD disk of radius (R = 3.0 cm) is sprayed with a charged paint so that the charge varies continually with radial distance r from the center in the following manner =(6.0C/m)r/R ?. Find the potential at a point 4 cm above the center.
A particle with charge -40.0 nC is on the x axis at the point with coordinate x = 0. A second panicle, with charge -20.0 nC, is on the x axis at x = 0.500 in. (i) Is the point at a finite distance where the electric field is zero (a) to the left of .v = 0, (b) between x = 0 and x = 0.500 in, or (c) to the right of x m 0.500 in? (ii) Is the electric potential zero at this point? (a) No; it is positive, (b) Yes. (c) No; it is negative. (iii) Is there a point at a finite distance where the electric potential is zero? (a) Yes; it is to the left of x = 0. (b) Yes; it is between x = 0 and x = 0.500 in. (c) Yes; it is to the right of x = 0.500 in. (d) No.
A point charge of q=50108 C is placed at the center of an uncharged spherical conducting shell of inner radius 6.0 cm and outer radius 9.0 cm. Find the electric potential at (a) r = 4,0cm, (b) r = 8.0 cm, (c) r — 12.0 cm.
If the potential due to a point charge is 5.00102 V at a distance of 15.0 m, what are the sign and magnitude of the charge?
A small spherical pith ball of radius 0.50 cm is painted with a silver paint and then -10 C of charge is placed on it. The charged pith ball is put at the center of a gold spherical shell of inner radius 2.0 cm and outer radius 2.2 cm. (a) Find the electric potential of the gold shell with respect to zero potential at infinity, (b) How much charge should you put on the gold shell if you want to make its potential 100 V?
A uniformly charged ring of radius 10 cm is placed on a nonconducting table. It is found that 3.0 cm above the center of the half-ring the potential is —3.0 V with respect to zero potential at infinity. How much charge is in the half ring?
When a potential difference of 150. V is applied to the plates of an air-filled parallel-plate capacitor, the plates carry a surface charge density of 3.00 1010 C/cm2. What is the spacing between the plates?