Concept explainers
(a) What total (excess) charge q must the disk in Fig. 22-15 have for the electric field on the surface of the disk at its center to have magnitude 3.0 × 106 N/C, the E value at which air breaks down electrically, producing sparks? Take the disk radius as 2.5cm, (b) Suppose each surface atom has an effective cross-sectional area of 0.015 nm2. How many atoms are needed to make up the disk surface? (c) The charge calculated in (a) results from some of the surface atoms having one excess electron. What fraction of these atoms must be so charged?
Want to see the full answer?
Check out a sample textbook solutionChapter 22 Solutions
Fundamentals of Physics Extended
Additional Science Textbook Solutions
Laboratory Experiments in Microbiology (12th Edition) (What's New in Microbiology)
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Human Biology: Concepts and Current Issues (8th Edition)
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
Genetic Analysis: An Integrated Approach (3rd Edition)
Fundamentals Of Thermodynamics
- (a) What total (excess) charge q must the disk have for the electric field on the surface of the disk at its center to have magnitude 3.0* 10^6 N/C, the E value at which air breaks down electrically, producing sparks? Take the disk radius as 2.5 cm. (b) Suppose each surface atom has an effective cross-sectional area of 0.015 nm2. How many atoms are needed to make up the disk surface? (c) The charge calculated in (a) results from some of the surface atoms having one excess electron. What fraction of these atoms must be so charged?arrow_forward(a) What total (excess) charge q must the disk in the figure have for the electric field on the surface of the disk at its center to have the magnitude 3.0 × 106 N/C, the E value at which air breaks down electrically, producing sparks? Take the disk radius as 3.0 cm. (b) Suppose each surface atom has an effective cross-sectional area of 0.015 nm2. How many atoms are needed to make up the disk surface? (c) The charge calculated in (a) results from some of the surface atoms having one excess electron. What fraction of these atoms must be so charged?arrow_forward(a) A conducting sphere has charge Q and radius R. If theelectric field of the sphere at a distance r = 2R from the center of thesphere is 1400 N/C, what is the electric field of the sphere at r = 4R?(b) A very long conducting cylinder of radius R has charge per unitlength l. Let r be the perpendicular distance from the axis of the cylinder.If the electric field of the cylinder at r = 2R is 1400 N/C, whatis the electric field at r = 4R? (c) A very large uniform sheet of chargehas surface charge density s. If the electric field of the sheet has a valueof 1400 N>C at a perpendicular distance d from the sheet, what is theelectric field of the sheet at a distance of 2d from the sheet?arrow_forward
- What total (excess) charge q must the disk in Fig. have for the electric field on the surface of the disk at its center to have magnitude 3.0 ×108 N/C, the E value at which air breaks down electrically, producing sparks? Take the disk radius as 2.5 cm. (b) Suppose each surface atom has an effective cross-sectional area of 0.015 nm2. How many atoms are needed to make up the disk surface? (c) The charge calculated in (a) results from some of the surface atoms having one excess electron. What fraction of these atoms must be so charged?arrow_forwardA charged nonconducting rod has a length L of 2.0 m and a cross-sectional area A of 8.0 cm?; it is placed along the positive side of an x axis with one end at the origin. The volume charge density p is the charge per unit volume, with the units of coulomb per cubic meter. a) How many excess electrons are on the rod if the rod's volume charge density pu is uniform with a value of –10 µC/m³? How does that compare to the total number of electrons you would estimate would be in the rod? (By compare, just a ballpark estimate- to within several orders of magnitude, factors of ten). b) What is an expression for the number of excess electrons on the rod if the rod's volume charge is nonuniform and is given instead by pN=ax³ where a is a constant? c) What value of a is necessary for the rod in part b to have the same number of excess electrons as the rod in part a)?arrow_forwardIn Fig. 21-20, a central particle of charge 2q is surrounded by a square array of charged particles, separated by either distance d or d/2 along the perimeter of the square. What are the magnitude and direc- tion of the net electrostatic force on the central particle due to the other particles? (Hint: Consideration of symmetry can greatly reduce the amount of work required here.)arrow_forward
- 35 SSM In crystals of the salt cesium chloride, cesium ions Cs+ form the eight corners of a cube and a chlorine ion Cl is at the cube's center (Fig. 21-36). The edge length of the cube is 0.40 nm. The Cst ions are each deficient by one electron (and thus each has a charge of +e), and the Cl- ion has one excess electron (and thus has a charge of -e). (a) What is the magnitude of the net electro- static force exerted on the Cl ion by the eight Cs ions at the cor- ners of the cube? (b) If one of the Cs* ions is missing, the crystal is said to have a defect; what is the magnitude of the net electrostatic force exerted on the Cl- ion by the seven remaining Cs+ ions? Cs+ 0.40 nmarrow_forward(c) The interface between two different dielectric media has a surface charge density of 3.54 x 10-11 C/m2. Find the electric field in the first medium (€1 = E2 = 3â – 2ý + 22 V/m. Assume that the interface is perpendicular to the y-axis. Also find the angle which E makes with the y-axis. 2c0), if the electric field in second medium (c2 18co) is given as %3Darrow_forwardP. 69 Figure 23-59 shows, in cross section, three infinitely os large nonconducting sheets on which charge is uniformly spread. The surface charge densities are n = +2.00 µC/m?, o = +4.00 µC/m?, and oz = -5.00 uC/m?, and T/2 L. 2L %3! %3! distance L = 1.50 cm. In unit- L. vector notation, what is the net oI electric field at point P? Figure 23-59 Problem 69.arrow_forward
- The charge density of a non-uniformly charged sphere of radius 1.0 m is given as: For rs 1.0 m; p(r)= 2po(1-8r/3) For r> 1.0 m; p(r)= 0, where r is in meters. What is the value of rin meters for which the electric field is maximum? 0.25 O 0.50 O 0.75 O 1.0 O 2.0 O Diğer:arrow_forwardIn Fig.89 the metallic wire has a uniform linear charge density λ = 4 x 10-⁹C/m, the rounding radius R=10cm is much smaller than the length of the wire. Find the magnitude of the electric field at point "0". 001|2 R Fig-89arrow_forwardA uranium nucleus is a sphere of radius 7.4x10^-15 m with a charge of 92r distributed uniformly in its volume.Calculate the electric field produced by this charge distribution at a) r=3x10^-15 m and b) r=8x10^-15 marrow_forward
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning