Question 10 A conducting sphere of radius R carries an excess positive charge and is very far from any other charges. Which one of the following graphs best illustrates the potential (relative to infinity) produced by this sphere as a function of the distance r from the center of the sphere? h h O none of the given choices 1 O O

Question 10 A conducting sphere of radius R carries an excess positive charge and is very far from any other charges. Which one of the following graphs best illustrates the potential (relative to infinity) produced by this sphere as a function of the distance r from the center of the sphere? h h O none of the given choices 1 O O

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter7: Electric Potential

Section: Chapter Questions

Problem 92AP: A glass ring of radius 5.0 cm is painted with a charged paint such that the charge density around...

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(a) Use the exact result from Example 24.4 to find the electric potential created by the dipole described in the example at the point (3a, 0). (b) Explain how this answer compares with the result of the approximate expression that is valid when x is much greater than a.
An electron is at the origin, (a) Calculate the electric potential VA at point A, x = 0.250 cm. (b) Calculate the electric potential VB at point B, x = 0.750 cm. What is the potential difference VB VA? (c) Would a negatively charged particle placed at point A necessarily go through this same potential difference upon reaching point B? Explain.
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.
An electron is at the origin, (a) Calculate the electric potential VA at point A, x = 0.250 cm. (b) Calculate the electric potential VB at point B, x = 0.750 cm. What is the potential difference VB VA? (c) Would a negatively charged particle placed at point A necessarily go through this same potential difference upon reaching point B? Explain.
A spherical balloon contains a positively charged object at its center. (i) As the balloon is inflated to a greater volume while the charged object remains at the center, does the electric potential at the surface of the balloon (a) increase, (b) decrease, or (c) remain the same? (ii) Does the electric flux through the surface of the balloon (a) increase, (b) decrease, or (c) remain the same?
When charged particles are separated by an infinite distance, the electric potential energy of the pair is zero. When the particles are brought close, the electric potential energy of a pair with the same sign is positive, whereas the electric potential energy of a pair with opposite signs is negative. Give a physical explanation of this statement.
(a) What is the potential between two points situated 10 cm and 20 cm from a 3.0 C point charge? (b) To what location should the point at 20 cm be moved to increase this potential difference by a factor of two?
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?
A proton is released from rest in a uniform electric field. Determine whether the following quantities increase, decrease, or remain unchanged as the proton moves. Indicate your answers with I (increase), D (decrease), or U (unchanged), respectively. (a) The electric potential at the protons location (b) The protons associated electric potential energy (c) Its kinetic energy (d) Its total energy.
(a) Sketch the equipotential lines near a point charge + q. Indicate the direction of increasing potential. (b) Do the same for a point charge -3 q.
Can a particle move in a direction of increasing electric potential, yet have its electric potential energy decrease? Explain
(a) Plot the potential of a uniformly charged 1-m rod with 1 C/m charge as a function of the perpendicular distance from the center. Draw your graph from s = 0,1 in to s = 1.0m. (b) On the same graph, plot the potential of a point charge with a 1-C charge at the origin, (c) Which potential is stronger near the rod? (d) What happens to the difference as the distance increases? Interpret your result.