Physics for Scientists and Engineers, Technology Update, Hybrid Edition (with Enhanced WebAssign Multi-Term LOE Printed Access Card for Physics)
9th Edition
ISBN: 9781305116429
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 25, Problem 25.73CP
A disk of radius R (Fig. P24.49) has a nonuniform surface charge density σ = Cr, where C is a constant and r is measured from the center of the disk to a point on the surface of the disk. Find (by direct integration) the electric potential at P.
Figure P24.49
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A Gaussian sphere of radius 9.20 cm is centered on a ball that has a radius of 1.00 cm and a uniform charge distribution. The total (net) electric flux through the surface of the Gaussian sphere is +1.70 × 104 N·m2/C. What is the electric potential 15.0 cm from the center of the ball?
An electric potential can be described by the function V = xyz + y3 + xz2. At point (x, y ,z) = (1, 1, 1) find(a) the electric field vector and(b) the magnitude of the electric field
A thin shelled hollow sphere of radius R has a uniform surface charge density σ. Fixed at its center is a point charge q.
Use Gauss's law to find the electric field a distance r from the center (Give answers for r < R and r > R).
Taking the electric potential V to vanish at infinity, find the electric potential as a function of r, the distance from the center (Give answers for r < R and r > R)
Chapter 25 Solutions
Physics for Scientists and Engineers, Technology Update, Hybrid Edition (with Enhanced WebAssign Multi-Term LOE Printed Access Card for Physics)
Ch. 25 - In Figure 24.1, two points and are located...Ch. 25 - The labeled points in Figure 24.4 are on a series...Ch. 25 - In Figure 24.8b, take q2, to be a negative source...Ch. 25 - In a certain region of space, the electric...Ch. 25 - In a certain region of space, the electric field...Ch. 25 - Consider the equipotential surfaces shown in...Ch. 25 - (i) A metallic sphere A of radius 1.00 cm is...Ch. 25 - The electric potential at x = 3.00 m is 120 V, and...Ch. 25 - Rank the potential energies of the lour systems of...Ch. 25 - In a certain region of space, a uniform electric...
Ch. 25 - Rank the electric potentials at the four points...Ch. 25 - An electron in an x-ray machine is accelerated...Ch. 25 - Rank the electric potential energies of the...Ch. 25 - Four particles are positioned on the rim of a...Ch. 25 - A proton is released from rest at the origin in a...Ch. 25 - A particle with charge -40.0 nC is on the x axis...Ch. 25 - A filament running along the x axis from the...Ch. 25 - In different experimental trials, an electron, a...Ch. 25 - A helium nucleus (charge = 2e. mass = 6.63 ...Ch. 25 - What determines the maximum electric potential to...Ch. 25 - Describe the motion of a proton (a) after it is...Ch. 25 - When charged particles are separated by an...Ch. 25 - Study Figure 23.3 and the accompanying text...Ch. 25 - Distinguish between electric potential and...Ch. 25 - Describe the equipotential surfaces for (a) an...Ch. 25 - Oppositely charged parallel plates are separated...Ch. 25 - A uniform electric field of magnitude 250 V/m is...Ch. 25 - (a) Calculate the speed of a proton that is...Ch. 25 - How much work is done (by a battery, generator, or...Ch. 25 - A uniform electric field of magnitude 325 V/m is...Ch. 25 - Starting with the definition of work, prove that...Ch. 25 - An electron moving parallel to the x axis has an...Ch. 25 - (a) Find the electric potential difference Ve...Ch. 25 - A particle having charge q = +2.00 C and mass m =...Ch. 25 - Review. A block having mass m and charge + Q is...Ch. 25 - An insulating rod having linear charge density =...Ch. 25 - (a) Calculate the electric potential 0.250 cm from...Ch. 25 - Two point charges are on the y axis. A 4.50-C...Ch. 25 - The two charges in Figure P25.14 are separated by...Ch. 25 - Three positive charges are located at the corners...Ch. 25 - Two point charges Q1 = +5.00 nC and Q2 = 3.00 nC...Ch. 25 - Two particles, with charges of 20.0 11C and -20.0...Ch. 25 - The two charges in Figure P24.12 are separated by...Ch. 25 - Given two particles with 2.00-C charges as shown...Ch. 25 - At a certain distance from a charged particle, the...Ch. 25 - Four point charges each having charge Q are...Ch. 25 - The three charged particles in Figure P25.22 are...Ch. 25 - A particle with charge +q is at the origin. A...Ch. 25 - Show that the amount of work required to assemble...Ch. 25 - Two particles each with charge +2.00 C are located...Ch. 25 - Two charged particles of equal magnitude are...Ch. 25 - Four identical charged particles (q = +10.0 C) are...Ch. 25 - Three particles with equal positive charges q are...Ch. 25 - Five particles with equal negative charges q are...Ch. 25 - Review. A light, unstressed spring has length d....Ch. 25 - Review. Two insulating spheres have radii 0.300 cm...Ch. 25 - Review. Two insulating spheres have radii r1 and...Ch. 25 - How much work is required to assemble eight...Ch. 25 - Four identical particles, each having charge q and...Ch. 25 - In 1911, Ernest Rutherford and his assistants...Ch. 25 - Figure P24.22 represents a graph of the electric...Ch. 25 - The potential in a region between x = 0 and x =...Ch. 25 - An electric field in a region of space is parallel...Ch. 25 - Over a certain region of space, the electric...Ch. 25 - Figure P24.23 shows several equipotential lines,...Ch. 25 - The electric potential inside a charged spherical...Ch. 25 - It is shown in Example 24.7 that the potential at...Ch. 25 - Consider a ring of radius R with the total charge...Ch. 25 - A uniformly charged insulating rod of length 14.0...Ch. 25 - A rod of length L (Fig. P24.25) lies along the x...Ch. 25 - For the arrangement described in Problem 25,...Ch. 25 - A wire having a uniform linear charge density is...Ch. 25 - The electric field magnitude on the surface of an...Ch. 25 - How many electrons should be removed from an...Ch. 25 - A spherical conductor has a radius of 14.0 cm and...Ch. 25 - Electric charge can accumulate on an airplane in...Ch. 25 - Lightning can be studied with a Van de Graaff...Ch. 25 - Why is the following situation impossible? In the...Ch. 25 - Review. In fair weather, the electric field in the...Ch. 25 - Review. From a large distance away, a particle of...Ch. 25 - Review. From a large distance away, a particle of...Ch. 25 - The liquid-drop model of the atomic nucleus...Ch. 25 - On a dry winter day, you scuff your leather-soled...Ch. 25 - The electric potential immediately outside a...Ch. 25 - (a) Use the exact result from Example 24.4 to find...Ch. 25 - Calculate the work that must be done on charges...Ch. 25 - Calculate the work that must be done on charges...Ch. 25 - The electric potential everywhere on the xy plane...Ch. 25 - Why is the following situation impossible? You set...Ch. 25 - From Gauss's law, the electric field set up by a...Ch. 25 - A uniformly charged filament lies along the x axis...Ch. 25 - The thin, uniformly charged rod shown in Figure...Ch. 25 - A GeigerMueller tube is a radiation detector that...Ch. 25 - Review. Two parallel plates having charges of...Ch. 25 - When an uncharged conducting sphere of radius a is...Ch. 25 - An electric dipole is located along the y axis as...Ch. 25 - A solid sphere of radius R has a uniform charge...Ch. 25 - A disk of radius R (Fig. P24.49) has a nonuniform...Ch. 25 - Four balls, each with mass m, are connected by...Ch. 25 - (a) A uniformly charged cylindrical shell with no...Ch. 25 - As shown in Figure P25.76, two large, parallel,...Ch. 25 - A particle with charge q is located at x = R, and...
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) A uniformly charged cylindrical shell with no end caps has total charge Q, radius R, and length h. Determine the electric potential at a point a distance d from the right end of the cylinder as shown in Figure P24.51. Suggestion: Use the result of Example 24.5 by treating the cylinder as a collection of ring charges. (b) What If? Use the result of Example 24.6 to solve the same problem for a solid cylinder. Figure P24.51arrow_forwardA particle with charge q on the negative x axis and a second particle with charge 2q on the positive x axis are each a distance d from the origin. Where should a third particle with charge 3q be placed so that the magnitude of the electric field at the origin is zero?arrow_forwardFigure P24.16 shows three charged particles arranged in the xy plane at the coordinates shown, with qA = qB = 3.30 nC and qC = 4.70 nC. What is the electric field due to these particles at the origin? FIGURE P24.16arrow_forward
- 1. Dipole with electric moment p = 0.12 nCL*m is located at the beginning of coordinates and is directed along the positive direction of the x-axis. Using the dipole formula, find the components of the electric field strength vector E and its potential at the point with coordinates x = 80 mm, y = 40 mm.arrow_forwardA solid conducting sphere of radius ra is placed concentrically inside a conducting spherical shell of inner radius rb1 and outer radius rb2. The inner sphere carries a charge Q while the outer sphere does not carry any net charge. The potential for rb1 < r < rb2 isarrow_forwardWhich of the following statements is true about the magnitude of the net electric field E and the net electric potential V, at the center of the square as shown below?Which of the following statements is true about the magnitude of the net electric field E and the net electric potential V, at the center of the square as shown below? E = 0; V ≠ 0 E ≠ 0; V = 0 E = 0; V = 0 E ≠ 0; V ≠ 0arrow_forward
- An electric dipole is located along the y axis as shown in Figure P24.48. The magnitude of its electric dipole moment is defined as p = 2aq. (a) At a point P, which is far from the dipole (r ≫ a), show that the electric potential is(b) Calculate the radial component Er and the perpendicular component Eθ of the associated electric field. Note that Eθ = −(1/r)(∂V/∂θ). Do these results seem reasonable for (c) θ = 90° and 0°? (d) For r = 0? (e) For the dipole arrangement shown in Figure P24.48, express V in terms of Cartesian coordinates using r = (x2 + y2)1/2 and(f) Using these results and again taking r ≫ a, calculate the field components Ex andEy.arrow_forwardA long, solid, conducting cylinder has a radius of 2.0 cm. The electric field at the surface of the cylinder is 160 N/C, directed radially outward. Let A, B, and C be points that are 1.0 cm, 2.0 cm, and 5.0 cm, respectively, from the central axis of the cylinder.What are (a) the magnitude of the electric field at C and the electric potential differences (b) VB-VC and (c) VA-VB?arrow_forwardTwo uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -46 cm and x = +46 cm. The charge densities on the planes are -42 nC/m2 and +20 nC/m2, respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +77 cm? (Hint: Use Gauss' law for planar symmetry to determine the electric field in each region of space.)arrow_forward
- A uniformly charged disk has radius R and surface charge density σ.(A) Find the electric potential at a point P along the perpendicular central axis of the disk. (B) Find the x component of the electric field at a point P along the perpendicular central axis of the disk.arrow_forwardTwo particles of −10 nC each are arranged symmetrically on the x-axis. a) What is the electrostatic force (magnitude and orientation) on each of the two particles? b) What is the net electric field in point P (magnitude and orientation)? c) What is the net electric potential in point P?arrow_forwardAssume that the electric potential field in a certain region is given by phi(x, y, z) = a * (x2 + y2 + z2), where a is a constant. Find the electric field vector E(x, y, z) in this region.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author: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 Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
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
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY