College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 18, Problem 48P
& Sphere capacitance A metal sphere of radius R has an electric charge + q on it. Determine an expression for the electric potential V on the sphere's surface. Use the definition of capacitance to show that the capacitance of this isolated sphere is R/k, where k is the constant used in Coulomb**#x2019;s law. (Hint Assume the other plate is infinitely far away).
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionChapter 18 Solutions
College Physics
Ch. 18 - Review Question 18.1 How do you estimate the...Ch. 18 - Review Question 18.2 You have a point-like object...Ch. 18 - Review Question 18.3 Compare the work needed to...Ch. 18 - Review Question 18.4 Imagine that you have an...Ch. 18 - Review Question 18.5 In this section you read that...Ch. 18 - Review Question 18.6 What are the differences...Ch. 18 - Review Question 18.7 A parallel plate capacitor...Ch. 18 - Review Question 18.8 Why do heart contractions...Ch. 18 - 1 What does the field at point A, which is a...Ch. 18 - Why can you shield an object from an external...
Ch. 18 - If you place a block made of a conducting material...Ch. 18 - 4. If you place a block made of a dielectric...Ch. 18 - 5. Two identical positive charges are located at a...Ch. 18 - An electric dipole is placed between the...Ch. 18 - 7. A positive charge is fixed at some distance d...Ch. 18 - Figure Q18.8 shows E field lines in a region of...Ch. 18 - How do we use the model of the electric field to...Ch. 18 - Describe a procedure to determine the E field at...Ch. 18 - What does it mean if the E field at a certain...Ch. 18 - A very small positive charge is placed at one...Ch. 18 - 13. How do we create an E field with parallel...Ch. 18 - 14. Draw a sketch of the field lines caused by...Ch. 18 - 15. Draw a sketch of the field lines caused by...Ch. 18 - 16. Jim thinks that E field lines are the paths...Ch. 18 - Can E field lines cross? Explain why or why not.Ch. 18 - An electron moving horizontally from left to right...Ch. 18 - 19. (a) What does it mean if the electric...Ch. 18 - 20. Explain how grounding works.
Ch. 18 - 21. Explain how shielding works.
Ch. 18 - 22. Explain the difference between the microscopic...Ch. 18 - Explain why, for charged objects submerged in a...Ch. 18 - 24. What does it mean if the dielectric constant k...Ch. 18 - What is the dielectric constant of a metal?Ch. 18 - Describe the relation between the quantities E...Ch. 18 - If the V field in a region is constant, what is...Ch. 18 - 28. Why are uncharged pieces of a dielectric...Ch. 18 - 29. Draw equipotential surfaces and label them in...Ch. 18 - Show a charge arrangement and a point in space...Ch. 18 - 31. Explain what happens when you place a...Ch. 18 - (a) Explain what happens when you place a...Ch. 18 - 33. Explain why the excess charge on an electrical...Ch. 18 - Draw a microscopic representation of the charge...Ch. 18 - 1. * (a) Construct a graph of the magnitude of the...Ch. 18 - * A uranium nucleus has 92 protons. (a) Determine...Ch. 18 - 3. The electron and the proton in a hydrogen atom...Ch. 18 - * Use the superposition principle to draw E field...Ch. 18 - 5. * Use the superposition principle to draw ...Ch. 18 - * E field lines for a field created by an...Ch. 18 - 7. * Two objects with charges C are 50 cm from...Ch. 18 - 8. * charged object is 6.0 cm along a horizontal...Ch. 18 - 9. ** charged object is 4.0 cm along a horizontal...Ch. 18 - 10. **A distance d separates two objects, each...Ch. 18 - 11. * A point-like charged object with a charge +...Ch. 18 - 12. * A 3.0-g aluminum foil ball with a charge of ...Ch. 18 - 13. ** (a) If the string in the previous problem...Ch. 18 - * EST Using Earths E field for flight Earth has an...Ch. 18 - * An electron moving with a speed v0 enters a...Ch. 18 - 10-9 C hangs freely from a 1.0-m-long thread. What...Ch. 18 - 17. A 0.50-g oil droplet with charge is in a...Ch. 18 - 19. * Equation Jeopardy 1 The equations below...Ch. 18 - * Equation Jeopardy 2 The equations below describe...Ch. 18 - 21. During a lightning flash. of charge moves...Ch. 18 - 22. * (a) Construct a graph of the V field created...Ch. 18 - * A horizontal distance d separates two objects...Ch. 18 - * Two objects with charges qand+q are separated by...Ch. 18 - * Four objects with the same charge q are placed...Ch. 18 - 26. Spark jumps to nose An electric spark jumps...Ch. 18 - 27. * Two charged point-like objects are...Ch. 18 - BIO Electric field in body cell The electric...Ch. 18 - * Equation Jeopardy 3 The equation below describes...Ch. 18 - 31. * Equation Jeopardy 4 The equation below...Ch. 18 - 32. * While a sphere with positive charge remains...Ch. 18 - 33. * Figure P18.33 shows field lines in a region...Ch. 18 - 34. * A metal sphere has no charge on it. A...Ch. 18 - 35. ** EST A Van de Graaff generator of radius...Ch. 18 - ** A metal ball of radius R1 has a charge Q. Later...Ch. 18 - 37. * Positively charged metal sphere A is placed...Ch. 18 - *Two small metal spheres A and B have different...Ch. 18 - 39. * An electric dipole such as a water molecule...Ch. 18 - 10-7C at its head and an equal magnitude negative...Ch. 18 - 41. BIO Body cell membrane electric field (a)...Ch. 18 - 42. ** Earth's electric field Earth has an...Ch. 18 - 43. You have a parallel plate capacitor. (a)...Ch. 18 - 44. * A capacitor of capacitance C with a vacuum...Ch. 18 - 45. * A capacitor of capacitance C with a vacuum...Ch. 18 - How does the capacitance of a parallel plate...Ch. 18 - BIO EST Axon capacitance The long thin cylindrical...Ch. 18 - 48. ** Sphere capacitance A metal sphere of radius...Ch. 18 - * BIO EST Capacitance of red blood cell Assume...Ch. 18 - BIO Defibrillator During ventricular fibrillation...Ch. 18 - * EST The dielectric strength of air is 3106V/m....Ch. 18 - * Charged cloud causes electric field on Earth The...Ch. 18 - *BIO Hearts dipole charge The heart has a dipole...Ch. 18 - 55. * In a hot water heater, water warms when...Ch. 18 - 56. ** EST Lightning warms water A lightning flash...Ch. 18 - 57 * Four charged particles A, B, C, and D are...Ch. 18 - 59. ** A small object of unknown mass and charge...Ch. 18 - 61. * BIO Electrophoresis Electrophoresis is used...Ch. 18 - 62. * BIO Energy stored in axon electric field An...Ch. 18 - BIO Electric discharge by eels In several aquatic...Ch. 18 - BIO Electric discharge by eels In several aquatic...Ch. 18 - BIO Electric discharge by eels In several aquatic...Ch. 18 - BIO Electric discharge by eels In several aquatic...Ch. 18 - BIO Electric discharge by eels In several aquatic...Ch. 18 - BIO Electric discharge by eels In several aquatic...Ch. 18 - Electrostatic precipitator (esp) Electrostatic...Ch. 18 - Electrostatic precipitator (esp) Electrostatic...Ch. 18 - Electrostatic precipitator (esp) Electrostatic...Ch. 18 - Electrostatic precipitator (esp) Electrostatic...Ch. 18 - Electrostatic precipitator (esp) Electrostatic...
Additional Science Textbook Solutions
Find more solutions based on key concepts
The Rankine temperature scale (abbreviatedR) uses the same size degrees as Fahrenheit, but measured up from abs...
An Introduction to Thermal Physics
A plank, fixed to a sled at rest in frame S, is of length L0 and makes an angle of 0 with the xaxis. Later, the...
Modern Physics
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective (8th Edition)
25. FIGURE EX4.25 shows the angular-velocity-versus-time graph for a particle moving in a circle, starting from...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A parallel-plate capacitor has charge of magnitude 9.00F on each plate and capacitance 3.00F when there is air between the plates. The plates are separated by 2.00 mm. With the charge on the plates kept constant, a dielectric with =5 . is inserted between the plates, completely filling the volume between the plates, (a) What is the potential difference between the plates of the capacitor, before and after the dielectric has been inserted? (b) What is the electrical field at the point midway between the plates before and after the dielectric is inserted?arrow_forwardWhen a 360-nF air capacitor is connected to a power supply, the energy stored in the capacitor is 18.5J . While the capacitor is connected to the power supply, a slab of dielectric is insetted that completely fills die space between the plates. This increases the stored energy by 23.2J . (a) What is the potential difference between the capacitor plates? (b) What is die dielectric constant of the slab?arrow_forward(a) What is the capacitance of a parallel plate capacitor having plates of area 1.50 m2 that are separated by 0.0200 mm of neoprene rubber? (b) What charge does it hold when 9.00 V is applied to it?arrow_forward
- An air-filled capacitor is made from two flat parallel plates 1.0 mm apart. The inside area of each plate is 8.0cm2. (a) What is the capacitance of this set of plates? (b) If the region between the plates is filled with a material whose dielectric constant is 6.0, what is the new capacitance?arrow_forward(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.arrow_forwardA 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?arrow_forward
- Some cell walls in the human body have a layer of negative charge on the inside surface. Suppose that the surface charge densities are 0.50103C/m2 the cell wall is 5.0109m thick, and the cell wall material has a dielectric constant of = 5.4. (a) Find the magnitude of the electric field in the wall between two charge layers, (b) Find the potential difference between the inside and the outside of the cell. Which is at higher potential? (c) A typical cell in die human body has volume 1016m3 . Estimate the total electrical field energy stored in the wall of a cell of this size when assuming that the cell is spherical. (Hint: Calculate the volume of the cell wall.)arrow_forwarda parallel-plate capacitor with area 0.200 m2 and plate separation of 3.00 mm is connected to a 6.00-V battery. (a) What is the capacitance? (b) How much charge is stored on the plates? (c) What is the electric field between the plates? (d) Find the magnitude of the charge density on each plate. (e) Without disconnecting the battery, the plates are moved farther apart. Qualitatively, what happens to each of the previous answers?arrow_forward(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.arrow_forward
- (a) Find the electric potential difference Ve required to stop an electron (called a stopping potential) moving with an initial speed of 2.85 107 m/s. (b) Would a proton traveling at the same speed require a greater or lesser magnitude of electric potential difference? Explain. (c) Find a symbolic expression for the ratio of the proton stopping potential and the electron stopping potential. Vp/Ve.arrow_forward(a) Calculate the electric potential 0.250 cm from ail electron, (b) What is the electric potential difference between two points that are 0.250 cm and 0.750 cm from an electron? (c) How would the answers change if the electron were replaced with a proton?arrow_forwardA research Vail de Graaff generator has a 2.00-m- diameter metal sphere with a charge of 5.00 mC on it. (a) What is the potential near its surface? (b) At what distance from its center is the potential 1.00 MV? (c) An oxygen atom with three missing electrons is released near the Van de Graaff generator. What is its energy in MeV when the atom is at the distance found in part b?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegePhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY