PHYS 102 Midterm: Rice University PHYS 102 Exam1_06_MC_KEY

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turquoisegnu128

7 Mar 2019

School

Rice University

Department

Physics and Astronomy

Course

PHYS 102

Professor

All

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Document Summary

Physics 102 spring 2006: exam #1 multiple-choice questions: consider two isolated spherical conductors each having net charge q. The spheres have radii a and b, where b > a. In all cases, the separation between the middle charge and the outer charges are the same. For questions 4 and 5, refer to the graph below, depicting the potential on the x-axis as a function of x. Page 5: consider a metal cylindrical shell of outer radius rc and inner radius rb which is concentric with a metal wire of radius ra. The linear charge density of the wire is + and linear charge density of the cylinder is . Which of the following statement(s) is (are) true: the potential di erence between rc and rb is zero. The potential di erence between rb and ra is zero. The potential di erence between a point outside the cylin- der and rc is zero.

Related Questions

Consider two conducting spheres with radii and separated by a distance much greater than either 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 , where represents the charge on the first sphere and 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 .

(b) Find the total energy of the system of two spheres in terms of , total charge Q and the radii and .

(c) To minimize the energy, differentiate the result to part (b) with respect to and set the derivative equal to zero. Solve for in terms of Q and the radii.

(d) From the result to part (c), find the charge .

(e) Find the potential of each sphere.

(f) What is the potential difference between the spheres?

yellowbutterfly526

A hollow spherical conductor, carrying a net charge +Q, has an inner radius R1 and outer radius R₂=2R₁. At the center of the sphere is a point charge +Q/2.

(A) Write the electric field strength E in all three regions as a function of R.

Then determine the potential as a function of R, the distance from the center, for

(B) R > R₂,

(D)0 < R < R₁.

(E)Plot both V and E as a function of R from R = 0 to R = 2R₂.

raspberrygoat496

A solid insulating sphere of radius carries electric charge (Q) uniformly distributed throughout its volume. Concentric with the sphere is a conducting spherical shell with no net charge as shown in Figure OQ24.9. The inner radius of the shell is , and the outer radius is . No other charges are nearby.

(a) Rank the magnitude of the electric field at points A (at radius ), B (radius ), C (radius ), and D (radius ) from largest to smallest. Display any cases of equality in your ranking.