For the next two items, consider four point charges placed atthe corners of a square with side a as shown.203Q13. TreeQ. What is the electric potential energy at the charge3Q due to all the other charges?12KQ²А.aakQ?В.(-6 – 3/2)-20-4QakQ² (-2 – 7/2)С.akQ²D.(-4 – 14/2)a14. In the box. Assuming all charges start from infinity, how much potential energy is neededto assemble this configuration of charges?12KQ²kQ²С.-(-2 – 7/2)А.akQ²В.-(-6 – 3/2)kQ²D.-(-4 – 14/2)aa

The electric potential on a test charge (q1) due to a source charge (q2) is, V=kq2r where, r is the…

For the next two items, consider four point charges placed at the corners of a square with side a as shown. 20 3Q 13. TreeQ. What is the electric potential energy at the charge 3Q due to all the other charges? 12KQ² A. a a kQ² В. (-6 – 3/2) a -2Q -4Q kQ² С. (-2 – 7/2) kQ² D. (-4 – 14/2) 14. In the box. Assuming all charges start from infinity, how much potential energy is needed to assemble this configuration of charges? 12KQ² kQ² (-2 – 7/2) А. С. a kQ² В. (-6 – 3/2) kQ² D. (-4 – 14/2) a a

For the next two items, consider four point charges placed at the corners of a square with side a as shown. 20 3Q 13. TreeQ. What is the electric potential energy at the charge 3Q due to all the other charges? 12KQ² A. a a kQ² В. (-6 – 3/2) a -2Q -4Q kQ² С. (-2 – 7/2) kQ² D. (-4 – 14/2) 14. In the box. Assuming all charges start from infinity, how much potential energy is needed to assemble this configuration of charges? 12KQ² kQ² (-2 – 7/2) А. С. a kQ² В. (-6 – 3/2) kQ² D. (-4 – 14/2) a a

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter7: Electric Potential

Section: Chapter Questions

Problem 12CQ: Can a particle move in a direction of increasing electric potential, yet have its electric potential...

See similar textbooks

Similar questions

Can a particle move in a direction of increasing electric potential, yet have its electric potential energy decrease? Explain
Your friend gets really excited by the idea of making a lightning rod or maybe just a sparking toy by connecting two spheres as shown in Figure 7.39, and making R2so small that the electric field is greater than the dielectric strength of air, just from the usual 150 V/m electric field near the surface of the Earth. If R1is 10 cm. how small does R2to be, and does this seem practical? (Hint: recall the calculation for electric field at the surface of a conductor from Gauss's Law.)
Three charges are situated at corners of a rectangle as in Figure P16.13. How much work must an external agent do to move the 8.00-C charge to infinity? Figure P16.13 Problems 13 and 14.
What is die strength of the electric field in a region where the electric potential is constant?
If a negatively charged particle is placed at rest in an electric potential field that increases in the positive x-direction, will the panicle (a) accelerate in the positive x-direction, (b) accelerate in the negative x-direction, or (c) remain at rest?
What are the sign and magnitude of a point charge that produces a potential of —2.00 V at a distance of 1.00 mm?
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?
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.
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?
Can the potential of a non-uniformly charged sphere be the same as that of a point charge? Explain.
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?
Find the electrostatic energy of eight equal charges (+3C) each fixed at the corners of a cube of side 2 cm.