Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 23, Problem 56P
To determine
The electrostatic energy of uranium nucleus.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The protons in a nucleus are approximately 2 ✕ 10−15 m apart. Consider the case where the protons are a distance d = 1.85 ✕ 10−15 m apart. Calculate the magnitude of the electric force (in N) between two protons at this distance.
Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rh has charge -Q.
srb
The electric field E at a radial distance r from the central axis is given by the function:
E = ge/d0 + B/r + bo
where alpha (a)., beta (8), ao and bo are constants. Find an expression for its capacitance.
First, let us derive the potential difference Voh between the two conductors. The potential difference is related to the electric field by:
Edr = -
Edr
Calculating the antiderivative or indefinite integral,
Vab = (-aageao + B
+ bo
By definition, the capacitance Cis related to the charge and potential difference by:
C =
Evaluating with the upper and lower limits of integration for Vab, then simplifying:
C = Q/(
(e""b/ao - eTala0) + ß In
) + bo (
The grid spacing is 1 Angstrom per small square. Now place an atomic nucleus with 4 protons on positive x-axis, at x = 5.2 Angstroms. How much work did it take you to bring this nucleus in from 1 m away?
7.8 eV
15.5 eV
9.5 eV
11.1 eV
Chapter 23 Solutions
Essential University Physics (3rd Edition)
Ch. 23.1 - Three positive charges and one negative charge,...Ch. 23.2 - If I give you a 5-gallon bucket, you know how much...Ch. 23.3 - You need to replace a capacitor with one that can...Ch. 23.3 - You have two identical capacitors with capacitance...Ch. 23.4 - Youre at a point P a distance a from a point...Ch. 23 - Two positive point charges are infinitely far...Ch. 23 - How does the energy density at a certain distance...Ch. 23 - A dipole consists of two equal but opposite...Ch. 23 - Charge is spread over the surface of a balloon,...Ch. 23 - Does the superposition principle hold for...
Ch. 23 - A student argues that the total energy associated...Ch. 23 - A capacitor is said to carry a charge Q. Whats the...Ch. 23 - Does the capacitance describe the maximum amount...Ch. 23 - Is a force needed to hold the plates of a charged...Ch. 23 - A solid conducting slab is inserted between the...Ch. 23 - Two capacitors contain equal amounts of energy,...Ch. 23 - A parallel-plate capacitor is connected to a...Ch. 23 - Four 75-C charges, initially far apart, are...Ch. 23 - Three point charges +q and a fourth, 12q, are...Ch. 23 - Repeat Exercise 14 for the case when the fourth...Ch. 23 - If the three particles in Fig. 23.1 have identical...Ch. 23 - A crude model of the water molecule has a...Ch. 23 - A capacitor consists of square conducting plates...Ch. 23 - An uncharged capacitor has parallel plates 5.0 cm...Ch. 23 - (a) How much charge must be transferred between...Ch. 23 - A capacitors plates hold 1.3 C when charged to 60...Ch. 23 - Show that the units of 0 may be written as F/m.Ch. 23 - Find the capacitance of a parallel-plate capacitor...Ch. 23 - A parallel-plate capacitor with 1.1-mm plate...Ch. 23 - The power supply in a stereo receiver contains a...Ch. 23 - Find the capacitance of a capacitor that stores...Ch. 23 - You have a 1.0-F and a 2.0-F capacitor. What...Ch. 23 - Two capacitors are connected in series and the...Ch. 23 - (a) Find the equivalent capacitance of the...Ch. 23 - Youre given three capacitors: 1.0 F, 2.0 F, and...Ch. 23 - The energy density in a uniform electric field is...Ch. 23 - A car battery stores about 4 MJ of energy. If this...Ch. 23 - Air undergoes dielectric breakdown at a field...Ch. 23 - Consider a proton to be a uniformly charged sphere...Ch. 23 - A charge Q0 is at the origin. A second charge. Qx...Ch. 23 - A conducting sphere of radius a is surrounded by a...Ch. 23 - Two closely spaced square conducting plates...Ch. 23 - The potential difference across a cell membrane is...Ch. 23 - Which can store more energy: a 1.0-F capacitor...Ch. 23 - A 0.01-F, 300-V capacitor costs 25; a 0.1-F, 100-V...Ch. 23 - A medical defibrillator stores 950 J in a 100-F...Ch. 23 - A camera requires 5.0 J of energy for a flash...Ch. 23 - Engineers testing an ultracapacitor (see...Ch. 23 - Your companys purchasing department bought lots of...Ch. 23 - Whats the equivalent capacitance measured between...Ch. 23 - In Fig. 23.14, find the energy stored in the 1-F...Ch. 23 - Capacitors C1, and C2 are in series, with voltage...Ch. 23 - Youre evaluating a new hire in your companys...Ch. 23 - A parallel-plate capacitor has plates with area 50...Ch. 23 - A 470-pF capacitor consists of two 15-cm-radius...Ch. 23 - The first accurate estimate of cell membrane...Ch. 23 - Your company is still stuck with those 2-F...Ch. 23 - A cubical region 1.0 m on a side is located...Ch. 23 - A sphere of radius R contains charge Q spread...Ch. 23 - A sphere of radius R carries total charge Q...Ch. 23 - Prob. 56PCh. 23 - Two widely separated 4.0-mm-diameter water drops...Ch. 23 - A 2.1-mm-diameter wire carries a uniform line...Ch. 23 - A typical lightning flash transfers 30 C across a...Ch. 23 - A capacitor consists of two long concentric metal...Ch. 23 - A capacitor consists of a conducting sphere of...Ch. 23 - Show that the result of Problem 61 reduces to that...Ch. 23 - A solid sphere contains a uniform volume charge...Ch. 23 - An air-insulated parallel-plate capacitor of...Ch. 23 - Repeat parts (b) and (c) of Problem 64, now...Ch. 23 - A transmission line consists of two parallel...Ch. 23 - An infinitely long rod of radius R carries uniform...Ch. 23 - (a) Write the electrostatic potential energy of a...Ch. 23 - An unknown capacitor C is connected in series with...Ch. 23 - What total capacitance is required if the...Ch. 23 - If it were technically and economically feasible...Ch. 23 - While theyre firing, the average power delivered...Ch. 23 - Among the capacitors that store energy at NIF are...
Knowledge Booster
Similar questions
- An electric field does 1.99 ✕ 103 eV of work on a carbon nucleus of charge 6 e. Find the change in electric potential through which the nucleus has moved and the change in the nucleus' electric potential energy in joules. (Note that the charge on the nucleus is exact in terms of multiples of e.) a) change in electric potential (v) b) change in electric potential energy (in joules)arrow_forwardA Uranium 235 atom has 92 protons in the nucleus and has a mass of 3.92 E-25 kg. A) How many Uranium atoms would you need to have 1.00 Coulombs of protons? B) What mass of Uranium would that be?arrow_forwardYour body contains roughly 10^28 electrons. However, your body can be considered electrically neutral. Explain whyarrow_forward
- All stars have to be electrically charge neutral, since the gravitational force is about 1036 times weaker than the electromagnetic force. Calculate what is the maximum ratio of charged particle per nucleon Z/A you can have in a star, so it does not expel a proton from the surface. In other words, the gravitational force between a proton and the remaining star must be larger than the Coulomb's force. Use that the gravitational mass of the star M is less than the baryonic mass mpA.arrow_forwardWhat is the magnitude of the repulsive electrostatic force between two protons in a nucleus? Consider the distance between the centers of the protons to be 3.5 x 10^-13 m.If these protons were released from rest, Calculate the magnitude of their initial acceleration?arrow_forwardNow you have a nucleus with 16 protons at x = 5.0 Angstroms on the x-axis. How much work would it take to bring in ANOTHER nucleus with 5 protons from 1 m away and place it at y = 5.2 Angstroms on the y-axis? 87.4 eV 145.7 eV -13.8 eV 159.5 eVarrow_forward
- A proton moving in the positive x direction at 4.3 Mm/s collides with a nucleus. The collision lasts 0.12 fs, and the average impulsive force is 42 i + 17 j micro - Newton. A) Find the velocity of the proton after the collision. B) Through what angle has the proton's motion been deflected?arrow_forwardCertain stars are thought to collapse at the end of their lives, combining their protons and electrons to form a neutron star. Such a star could be thought of as a giant atomic nucleus. If a star with a mass equal to that of the sun (of mass 1.99 × 10°0 kg) were to collapse into neutrons, what would be the radius of the star? Answer in units of m.arrow_forwardWhat is the dependence of the volume, surface and Coulomb terms on the mass number A in the SEMF? Coulomb term X Surface term X Volume term X A 1/3 A^(2/3) A¹/3 A-1/3 45/3 A CAN(2/3)arrow_forward
- Find the speed an alpha particle requires to come within 3.9 × 10¬1ª m of a gold nucleus. Coulomb's constant is 8.99 × 10º N · m² /C², the charge on an electron is 1.6 × 10-19 and the mass of the alpha particle is 6.64 × 10–27 kg. Answer in units of m/s. C, Find the energy of the alpha particle. Answer in units of MeV.arrow_forwardIn a neutron star, gravity causes the electrons to combine with protons to form neutrons. A typical neutron star has a mass half that of the sun, compressed into a sphere of radius 20 km. If such a neutron star contains 6.0 × 1056 neutrons, calculate its density in grams per cubic centimeter.Compare this with the density inside a 232Th nucleus, in which 142 neutrons and 90 protons occupy a sphere of radius 9.1 × 10-13 cm. Take the mass of a neutron to be 1.675 × 10-24 g and that of a proton to be 1.673 × 10-24 g.arrow_forwardA monatomic ion has a charge of +2. The nucleus of the ion has a mass number of 86. The number of neutrons in the nucleus is 1.26 times that of the number of protons. How many electrons and what is the element?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning