EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 9781305804463
Author: Jewett
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 25, Problem 25.52P
Lightning can be studied with a Van de Graaff generator, which consists of a spherical dome on which charge is continuously deposited by a moving belt. Charge can be added until the electric field at the surface of the dome becomes equal to the dielectric strength of air. Any more charge leaks off in sparks as shown in Figure P25.52. Assume the dome has a diameter of 30.0 cm and is surrounded by dry air with a "breakdown" electric field of 3.00 × 106 V/m. (a) What is the maximum potential of the dome? (b) What is the maximum charge on the dome?
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Chapter 25 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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...
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- A When we find the electric field due to a continuous charge distribution, we imagine slicing that source up into small pieces, finding the electric field produced by the pieces, and then integrating to find the electric field. Lets see what happens if we break a finite rod up into a small number of finite particles. Figure P24.77 shows a rod of length 2 carrying a uniform charge Q modeled as two particles of charge Q/2. The particles are at the ends of the rod. Find an expression for the electric field at point A located a distance above the midpoint of the rod using each of two methods: a. modeling the rod with just two particles and b. using the exact expression E=kQy12+y2 c. Compare your results to the exact expression for the rod by finding the ratio of the approximate expression to the exact expression. FIGURE P24.77 Problems 77 and 78.arrow_forwardThe infinite sheets in Figure P25.47 are both positively charged. The sheet on the left has a uniform surface charge density of 48.0 C/m2, and the one on the right has a uniform surface charge density of 24.0 C/m2. a. What are the magnitude and direction of the net electric field at points A, B, and C? b. What is the force exerted on an electron placed at points A, B, and C? FIGURE P25.47arrow_forwardConsider the charge distribution shown in Figure P23.85. (a) Show that the magnitude of the electric field at the center of any face of the cube has a value of 2.18keq/s2. (b) What is the direction of the electric field at the center of the top face of the cube?arrow_forward
- (a) Find the electric field at x = 5.00 cm in Figure 18.52 (a), given that q = 1.00 C. (b) at what position between 3.00 and 8.00 cm is the total electric field the same as that for ? 2q alone? (c) Can the electric field be zero anywhere between 0.00 and 8.00 cm? (d) At very large positive or negative values of x, the electric field approaches zero in both (a) and (b). In which does it most rapidly approach zero and why? (e) At what position to the light of 11.0 cm is the total electric field zero, other than at infinity? (Hint: A graphing calculator can yield considerable insight in this problem.)arrow_forwardA thin conducing plate 2.0 m on a side is given a total charge of 10.0C . (a) What is the electric field 1.0 cm above the plate? (b) What is the force on an electron at this point? (c) Repeat these calculations for a point 2.0 cm above the plate. (d) When the electron moves from 1.0 to 2.0 cm above the plate, how much work is done on it by the electric field?arrow_forwardA solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge Q. Concentric with this sphere is an uncharged, conducting, hollow sphere whose inner and outer radii are b and e as shown in Figure P24.45. We wish to understand completely the charges and electric fields at all locations. (a) Find the charge contained within a sphere of radius r a. (b) From this value, find the magnitude of the electric field for r a. (c) What charge is contained within a sphere of radius r when a r b? (d) From this value, find the magnitude of the electric field for r when a r b. (e) Now consider r when b r c. What is the magnitude of the electric field for this range of values of r? (f) From this value, what must be the charge on the inner surface of the hollow sphere? (g) From part (f), what must be the charge on the outer surface of the hollow sphere? (h) Consider the three spherical surfaces of radii a, b, and c. Which of these surfaces has the largest magnitude of surface charge density? Figure P24.45 Problems 43 and 47.arrow_forward
- A charged rod is curved so that it is part of a circle of radius R (Fig. P24.32). The excess positive charge Q is uniformly distributed on the rod. Find an expression for the electric field at point A in the plane of the curved rod in terms of the parameters given in the figure.arrow_forwardA very long, thin wire fixed along the x axis has a linear charge density of 3.2 C/m. a. Determine the electric field at point P a distance of 0.50 m from the wire. b. If there is a test charge q0 = 12.0 C at point P, what is the magnitude of the net force on this charge? In which direction will the test charge accelerate?arrow_forwardFigure P24.20 shows three charged spheres arranged along the y axis. a. What is the electric field at x = 0, y = 3.00 m? b. What is the electric field at x = 3.00 m, y = 0? FIGURE P24.20arrow_forward
- Two square plates of sides are placed parallel to each other with separation d as suggested in Figure P25.39. You may assume d is much less than . The plates carry uniformly distributed static charges +Q0 and Q0. A block of metal has width , length , and thickness slightly less than d. It is inserted a distance x into the space between the plates. The charges on the plates remain uniformly distributed as the block slides in. In a static situation, a metal prevents an electric field from penetrating inside it. The metal can he thought of as a perfect dielectric, with . (a) Calculate the stored energy in the system as a function of x. (b) Find the direction and magnitude of the force that acts on the metallic block. (c) The area of the advancing front face of the block is essentially equal to d. Considering the force on the block as acting on this face, find the stress (force per area) on it. (d) Express the energy density in the electric field between the charged plates in terms of Q0, , d, and 0. (e) Explain how the answers to parts (c) and (d) compare with each other. Figure P25.39arrow_forwardFigure P25.29 shows a wry long tube of inner radius a and outer radius b that has uniform volume charge density . Find an expression for the electric field between the walls of the tubethat is, for a r b. Figure P25.29arrow_forwardFind an expression for the magnitude of the electric field at point A mid-way between the two rings of radius R shown in Figure P24.30. The ring on the left has a uniform charge q1 and the ring on the right has a uniform charge q2. The rings are separated by distance d. Assume the positive x axis points to the right, through the center of the rings. FIGURE P24.30 Problems 30 and 31.arrow_forward
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Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY